{"id":64354,"date":"2026-01-23T12:24:45","date_gmt":"2026-01-23T04:24:45","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/64354.html"},"modified":"2026-01-23T12:24:45","modified_gmt":"2026-01-23T04:24:45","slug":"%e3%80%90%e5%ae%9e%e6%88%98%e3%80%91%e4%bb%8e%e4%bb%b0%e6%9c%9b%e6%98%9f%e7%a9%ba%e5%88%b0%e7%b2%be%e7%a1%ae%e9%94%81%e5%ae%9a-%e5%88%9d%e8%bd%a8%e8%ae%a1%e7%ae%97-iod-%e7%9a%84","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/64354.html","title":{"rendered":"\u3010\u5b9e\u6218\u3011\u4ece\u4ef0\u671b\u661f\u7a7a\u5230\u7cbe\u786e\u9501\u5b9a \u2014\u2014 \u521d\u8f68\u8ba1\u7b97 (IOD) \u7684\u7ec8\u6781\u901a\u5173\u6307\u5357 (\u4e60\u9898 5.25-5.27)"},"content":{"rendered":"<h2>\u3010\u5b9e\u6218\u3011\u4ece\u4ef0\u671b\u661f\u7a7a\u5230\u7cbe\u786e\u9501\u5b9a \u2014\u2014 \u521d\u8f68\u8ba1\u7b97 (IOD) \u7684\u7ec8\u6781\u901a\u5173\u6307\u5357 (\u4e60\u9898 5.25-5.27)<\/h2>\n<p>&#x1f4a1; \u6458\u8981&#xff1a;\u5728\u832b\u832b\u5b87\u5b99\u4e2d&#xff0c;\u5982\u4f55\u4ec5\u51ed\u5730\u9762\u89c2\u6d4b\u5230\u7684\u4e09\u4e2a\u77ac\u65f6\u89d2\u5ea6&#xff0c;\u5c31\u63a8\u7b97\u51fa\u536b\u661f\u7684\u5b8c\u6574\u8f68\u9053&#xff1f;\u672c\u6587\u5c06\u5e26\u4f60\u8d70\u8fc7\u521d\u8f68\u786e\u5b9a (Initial Orbit Determination, IOD) \u7684\u201c\u4e09\u90e8\u66f2\u201d&#xff1a;\u4ece\u9ad8\u65af\u6cd5\u7684\u521d\u6b65\u4f30\u7b97&#xff0c;\u5230\u901a\u7528\u53d8\u91cf\u6cd5\u7684\u8fed\u4ee3\u7cbe\u4fee&#xff0c;\u6700\u540e\u8f6c\u5316\u4e3a\u76f4\u89c2\u7684\u8f68\u9053\u6839\u6570\u3002\u6211\u4eec\u5c06\u89c1\u8bc1\u4e00\u4e2a\u6df1\u7a7a\u76ee\u6807\u7684\u201c\u771f\u5b9e\u9762\u76ee\u201d\u662f\u5982\u4f55\u88ab\u6570\u5b66\u903b\u8f91\u4e00\u6b65\u6b65\u63ed\u5f00\u7684\u3002<\/p>\n<hr \/>\n<h3>&#x1f4da; 1. \u9884\u5907\u77e5\u8bc6 (Prerequisites)<\/h3>\n<p>\u5728\u5f00\u59cb\u8fd9\u573a\u6570\u5b66\u5192\u9669\u4e4b\u524d&#xff0c;\u4f60\u9700\u8981\u88c5\u5907\u4ee5\u4e0b\u5de5\u5177&#xff1a;<\/p>\n<ul>\n<li>\u521d\u8f68\u786e\u5b9a (IOD)&#xff1a;\u5728\u6ca1\u6709\u4efb\u4f55\u5148\u9a8c\u4fe1\u606f\u7684\u60c5\u51b5\u4e0b&#xff0c;\u4ec5\u5229\u7528\u89d2\u5ea6&#xff08;\u8d64\u7ecf\/\u8d64\u7eac&#xff09;\u786e\u5b9a\u536b\u661f\u8f68\u9053\u7684\u8fc7\u7a0b\u3002<\/li>\n<li>\u9ad8\u65af\u6cd5 (Gauss Method)&#xff1a;\u5b9a\u8f68\u9886\u57df\u7684\u7ecf\u5178\u7b97\u6cd5&#xff0c;\u5229\u7528\u52a8\u529b\u5b66\u7ea7\u6570\u8fd1\u4f3c\u89e3\u51b3\u975e\u7ebf\u6027\u89c2\u6d4b\u95ee\u9898\u3002<\/li>\n<li>\u901a\u7528\u53d8\u91cf\u6cd5 (Universal Variables)&#xff1a;\u8f68\u9053\u4f20\u64ad\u7684\u201c\u4e07\u80fd\u94a5\u5319\u201d&#xff0c;\u65e0\u8bba\u8f68\u9053\u662f\u692d\u5706\u8fd8\u662f\u53cc\u66f2\u7ebf&#xff0c;\u5b83\u90fd\u80fd\u7a33\u5065\u5904\u7406\u3002<\/li>\n<li>\u8f68\u9053\u516d\u6839\u6570 (COE)&#xff1a;\u63cf\u8ff0\u8f68\u9053\u7684\u201c\u8eab\u4efd\u8bc1\u201d&#xff0c;\u5305\u62ec\u5927\u5c0f (<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         a<\/p>\n<p>         ,<\/p>\n<p>         e<\/p>\n<p>        a, e<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">e<\/span><\/span><\/span><\/span><\/span>)\u3001\u59ff\u6001 (<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         i<\/p>\n<p>         ,<\/p>\n<p>         \u03a9<\/p>\n<p>         ,<\/p>\n<p>         \u03c9<\/p>\n<p>        i, \\\\Omega, \\\\omega<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8778em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">\u03a9<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c9<\/span><\/span><\/span><\/span><\/span>) \u548c\u4f4d\u7f6e (<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b8<\/p>\n<p>        \\\\theta<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span>)\u3002<\/li>\n<\/ul>\n<h3>&#x1f680; 2. \u4efb\u52a1\u80cc\u666f (The Mission)<\/h3>\n<h4>2.1 \u539f\u59cb\u9898\u76ee (Original Problems)<\/h4>\n<p>\u672c\u6b21\u4efb\u52a1\u7531\u4e09\u9053\u8fde\u8d2f\u7684\u4e60\u9898\u7ec4\u6210&#xff1a;<\/p>\n<li>\u4e60\u9898 5.25&#xff1a;\u5229\u7528\u9ad8\u65af\u6cd5&#xff08;\u975e\u8fed\u4ee3&#xff09;\u6839\u636e\u4e09\u4e2a\u65f6\u523b\u7684\u89c2\u6d4b\u89d2&#xff08;\u65f6\u95f4\u3001\u6052\u661f\u65f6\u3001\u8d64\u7ecf\u3001\u8d64\u7eac&#xff09;\u8ba1\u7b97\u4e2d\u95f4\u65f6\u523b\u7684\u72b6\u6001\u5411\u91cf\u3002<\/li>\n<li>\u4e60\u9898 5.26&#xff1a;\u5bf9 5.25 \u7684\u7ed3\u679c\u8fdb\u884c\u8fed\u4ee3\u6539\u8fdb&#xff0c;\u6d88\u9664\u7ea7\u6570\u622a\u65ad\u5e26\u6765\u7684\u7cbe\u5ea6\u635f\u5931\u3002<\/li>\n<li>\u4e60\u9898 5.27&#xff1a;\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u72b6\u6001\u5411\u91cf\u8f6c\u6362\u4e3a\u8f68\u9053\u6839\u6570\u3002<\/li>\n<table>\n<tr>\u65f6\u95f4\/min\u5f53\u5730\u6052\u661f\u65f6\/(\u00b0)\u6d4b\u7ad9\u8d64\u7ecf\/(\u00b0)\u6d4b\u7ad9\u8d64\u7eac\/(\u00b0)<\/tr>\n<tbody>\n<tr>\n<td align=\"left\">0.0<\/td>\n<td align=\"left\">150<\/td>\n<td align=\"left\">157.783<\/td>\n<td align=\"left\">24.2403<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">5.0<\/td>\n<td align=\"left\">151.253<\/td>\n<td align=\"left\">159.221<\/td>\n<td align=\"left\">27.2993<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">10.0<\/td>\n<td align=\"left\">152.507<\/td>\n<td align=\"left\">160.526<\/td>\n<td align=\"left\">29.8982<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4>2.2 \u573a\u666f\u5316\u80cc\u666f (Scenario)<\/h4>\n<p>\u60f3\u8c61\u4f60\u662f\u4e00\u540d\u822a\u5929\u76d1\u6d4b\u4e2d\u5fc3\u7684\u5de5\u7a0b\u5e08\u3002\u96f7\u8fbe\u5728 10 \u5206\u949f\u5185\u6355\u6349\u5230\u4e86\u4e00\u4e2a\u4e0d\u660e\u98de\u884c\u7269\u7684\u4e09\u6b21\u95ea\u70c1\u3002\u6307\u6325\u5b98\u8981\u6c42\u4f60&#xff1a;<\/p>\n<li>\u7b2c\u4e00\u6b65&#xff1a;10 \u79d2\u949f\u5185\u7ed9\u51fa\u4e00\u4e2a\u521d\u6b65\u5750\u6807&#xff08;\u54ea\u6015\u8bef\u5dee\u51e0\u767e\u516c\u91cc&#xff09;\u3002<\/li>\n<li>\u7b2c\u4e8c\u6b65&#xff1a;\u5229\u7528\u540e\u7eed\u8ba1\u7b97\u8d44\u6e90&#xff0c;\u5c06\u8bef\u5dee\u964d\u5230\u7c73\u7ea7\u3002<\/li>\n<li>\u7b2c\u4e09\u6b65&#xff1a;\u544a\u8bc9\u6211\u8fd9\u5230\u5e95\u662f\u4e2a\u4ec0\u4e48\u4e1c\u897f&#xff1f;\u662f\u6211\u4eec\u7684\u536b\u661f&#xff0c;\u8fd8\u662f\u4e0d\u8bf7\u81ea\u6765\u7684\u201c\u661f\u9645\u8bbf\u5ba2\u201d&#xff1f;<\/li>\n<hr \/>\n<h3>&#x1f52e; 3. \u6838\u5fc3\u9b54\u6cd5&#xff1a;\u7b97\u6cd5\u89e3\u8bfb (Algorithm Explanation)<\/h3>\n<p>\u6211\u4eec\u5c06\u6574\u4e2a\u6d41\u7a0b\u62c6\u89e3\u4e3a\u4e09\u5c42\u67b6\u6784&#xff1a;<\/p>\n<h4>3.1 \u4e09\u5c42\u8fdb\u5316\u8bba<\/h4>\n<li>\u7b2c\u4e00\u5c42&#xff1a;\u51e0\u4f55\u7a81\u7834 (Gauss Polynomial)\n<ul>\n<li>\u901a\u8fc7\u6784\u5efa\u4e00\u4e2a\u5de7\u5999\u7684\u516b\u6b21\u591a\u9879\u5f0f&#xff0c;\u4ec5\u51ed\u51e0\u4f55\u5173\u7cfb\u201c\u731c\u201d\u51fa\u4e2d\u95f4\u65f6\u523b\u7684\u8ddd\u79bb <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            r<\/p>\n<p>            2<\/p>\n<p>          r_2<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u7b2c\u4e8c\u5c42&#xff1a;\u6570\u503c\u9547\u5b9a (Iterative Damping)\n<ul>\n<li>\u5229\u7528\u7cbe\u786e\u7684\u52a8\u529b\u5b66\u4f20\u64ad&#xff08;\u901a\u7528\u53d8\u91cf&#xff09;\u5efa\u7acb\u53cd\u9988\u73af\u3002\u9488\u5bf9\u53ef\u80fd\u51fa\u73b0\u7684\u6570\u503c\u53d1\u6563&#xff0c;\u6211\u4eec\u4f7f\u7528\u4e86\u963b\u5c3c\u56e0\u5b50&#xff08;\u5c31\u50cf\u7ed9\u75af\u72c2\u8df3\u52a8\u7684\u6307\u9488\u88c5\u4e0a\u51cf\u9707\u5668&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u7b2c\u4e09\u5c42&#xff1a;\u7269\u7406\u7ffb\u8bd1 (RV to COE)\n<ul>\n<li>\u5c06\u51b0\u51b7\u7684\u5750\u6807\u7cfb\u5206\u91cf\u8f6c\u6362\u6210\u4eba\u7c7b\u76f4\u89c2\u7406\u89e3\u7684\u51e0\u4f55\u53c2\u6570&#xff08;\u5982\u79bb\u5fc3\u7387 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           e<\/p>\n<p>          e<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">e<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<h4>3.2 \u6d41\u7a0b\u56fe\u89e3<\/h4>\n<p>  #mermaid-svg-AdenmuB32pfSB6aX{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;fill:#333;}@keyframes edge-animation-frame{from{stroke-dashoffset:0;}}@keyframes dash{to{stroke-dashoffset:0;}}#mermaid-svg-AdenmuB32pfSB6aX .edge-animation-slow{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 50s linear infinite;stroke-linecap:round;}#mermaid-svg-AdenmuB32pfSB6aX .edge-animation-fast{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 20s linear infinite;stroke-linecap:round;}#mermaid-svg-AdenmuB32pfSB6aX .error-icon{fill:#552222;}#mermaid-svg-AdenmuB32pfSB6aX .error-text{fill:#552222;stroke:#552222;}#mermaid-svg-AdenmuB32pfSB6aX .edge-thickness-normal{stroke-width:1px;}#mermaid-svg-AdenmuB32pfSB6aX .edge-thickness-thick{stroke-width:3.5px;}#mermaid-svg-AdenmuB32pfSB6aX .edge-pattern-solid{stroke-dasharray:0;}#mermaid-svg-AdenmuB32pfSB6aX .edge-thickness-invisible{stroke-width:0;fill:none;}#mermaid-svg-AdenmuB32pfSB6aX .edge-pattern-dashed{stroke-dasharray:3;}#mermaid-svg-AdenmuB32pfSB6aX .edge-pattern-dotted{stroke-dasharray:2;}#mermaid-svg-AdenmuB32pfSB6aX .marker{fill:#333333;stroke:#333333;}#mermaid-svg-AdenmuB32pfSB6aX .marker.cross{stroke:#333333;}#mermaid-svg-AdenmuB32pfSB6aX svg{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;}#mermaid-svg-AdenmuB32pfSB6aX p{margin:0;}#mermaid-svg-AdenmuB32pfSB6aX .label{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;color:#333;}#mermaid-svg-AdenmuB32pfSB6aX .cluster-label text{fill:#333;}#mermaid-svg-AdenmuB32pfSB6aX .cluster-label span{color:#333;}#mermaid-svg-AdenmuB32pfSB6aX .cluster-label span p{background-color:transparent;}#mermaid-svg-AdenmuB32pfSB6aX .label text,#mermaid-svg-AdenmuB32pfSB6aX span{fill:#333;color:#333;}#mermaid-svg-AdenmuB32pfSB6aX .node rect,#mermaid-svg-AdenmuB32pfSB6aX .node circle,#mermaid-svg-AdenmuB32pfSB6aX .node ellipse,#mermaid-svg-AdenmuB32pfSB6aX .node polygon,#mermaid-svg-AdenmuB32pfSB6aX .node path{fill:#ECECFF;stroke:#9370DB;stroke-width:1px;}#mermaid-svg-AdenmuB32pfSB6aX .rough-node .label text,#mermaid-svg-AdenmuB32pfSB6aX .node .label text,#mermaid-svg-AdenmuB32pfSB6aX .image-shape .label,#mermaid-svg-AdenmuB32pfSB6aX .icon-shape .label{text-anchor:middle;}#mermaid-svg-AdenmuB32pfSB6aX .node .katex path{fill:#000;stroke:#000;stroke-width:1px;}#mermaid-svg-AdenmuB32pfSB6aX .rough-node .label,#mermaid-svg-AdenmuB32pfSB6aX .node .label,#mermaid-svg-AdenmuB32pfSB6aX .image-shape .label,#mermaid-svg-AdenmuB32pfSB6aX .icon-shape .label{text-align:center;}#mermaid-svg-AdenmuB32pfSB6aX .node.clickable{cursor:pointer;}#mermaid-svg-AdenmuB32pfSB6aX .root .anchor path{fill:#333333!important;stroke-width:0;stroke:#333333;}#mermaid-svg-AdenmuB32pfSB6aX .arrowheadPath{fill:#333333;}#mermaid-svg-AdenmuB32pfSB6aX .edgePath .path{stroke:#333333;stroke-width:2.0px;}#mermaid-svg-AdenmuB32pfSB6aX .flowchart-link{stroke:#333333;fill:none;}#mermaid-svg-AdenmuB32pfSB6aX .edgeLabel{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-AdenmuB32pfSB6aX .edgeLabel p{background-color:rgba(232,232,232, 0.8);}#mermaid-svg-AdenmuB32pfSB6aX .edgeLabel rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-AdenmuB32pfSB6aX .labelBkg{background-color:rgba(232, 232, 232, 0.5);}#mermaid-svg-AdenmuB32pfSB6aX .cluster rect{fill:#ffffde;stroke:#aaaa33;stroke-width:1px;}#mermaid-svg-AdenmuB32pfSB6aX .cluster text{fill:#333;}#mermaid-svg-AdenmuB32pfSB6aX .cluster span{color:#333;}#mermaid-svg-AdenmuB32pfSB6aX div.mermaidTooltip{position:absolute;text-align:center;max-width:200px;padding:2px;font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:12px;background:hsl(80, 100%, 96.2745098039%);border:1px solid #aaaa33;border-radius:2px;pointer-events:none;z-index:100;}#mermaid-svg-AdenmuB32pfSB6aX .flowchartTitleText{text-anchor:middle;font-size:18px;fill:#333;}#mermaid-svg-AdenmuB32pfSB6aX rect.text{fill:none;stroke-width:0;}#mermaid-svg-AdenmuB32pfSB6aX .icon-shape,#mermaid-svg-AdenmuB32pfSB6aX .image-shape{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-AdenmuB32pfSB6aX .icon-shape p,#mermaid-svg-AdenmuB32pfSB6aX .image-shape p{background-color:rgba(232,232,232, 0.8);padding:2px;}#mermaid-svg-AdenmuB32pfSB6aX .icon-shape rect,#mermaid-svg-AdenmuB32pfSB6aX .image-shape rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-AdenmuB32pfSB6aX .label-icon{display:inline-block;height:1em;overflow:visible;vertical-align:-0.125em;}#mermaid-svg-AdenmuB32pfSB6aX .node .label-icon path{fill:currentColor;stroke:revert;stroke-width:revert;}#mermaid-svg-AdenmuB32pfSB6aX :root{&#8211;mermaid-font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;}<\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u963b\u5c3c\u66f4\u65b0<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u4e09\u6b21\u89d2\u5ea6\u89c2\u6d4b<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u9ad8\u65af\u591a\u9879\u5f0f: \u521d\u6b65\u4f30\u8ba1 r2<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u8fed\u4ee3\u6539\u8fdb: \u901a\u7528\u53d8\u91cf\u4f20\u64ad<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u7cbe\u786e\u72b6\u6001\u5411\u91cf r, v<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u5750\u6807\u53d8\u6362: \u63d0\u53d6\u8f68\u9053\u7279\u5f81<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u6700\u7ec8\u8f68\u9053\u6839\u6570<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/span><\/p>\n<h4>3.3 \u5173\u952e\u516c\u5f0f<\/h4>\n<ul>\n<li>\u9ad8\u65af\u591a\u9879\u5f0f\u6838\u5fc3&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           r<\/p>\n<p>           2<\/p>\n<p>           8<\/p>\n<p>          \u2212<\/p>\n<p>          (<\/p>\n<p>           a<\/p>\n<p>           2<\/p>\n<p>          &#043;<\/p>\n<p>          a<\/p>\n<p>          b<\/p>\n<p>          cos<\/p>\n<p>          \u2061<\/p>\n<p>          \u03d5<\/p>\n<p>          )<\/p>\n<p>           r<\/p>\n<p>           2<\/p>\n<p>           6<\/p>\n<p>          &#043;<\/p>\n<p>          \u22ef<\/p>\n<p>          &#061;<\/p>\n<p>          0<\/p>\n<p>          r_2^8 &#8211; (a^2 &#043; ab \\\\cos \\\\phi) r_2^6 &#043; \\\\dots &#061; 0 <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1111em;vertical-align: -0.247em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">8<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">ab<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">cos<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">\u03d5<\/span><span class=\"mclose\">)<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">6<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/span> (\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          a<\/p>\n<p>          ,<\/p>\n<p>          b<\/p>\n<p>         a, b<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span><\/span> \u7531\u89c2\u6d4b\u51e0\u4f55\u548c\u65f6\u95f4\u95f4\u9694\u51b3\u5b9a)<\/li>\n<li>Lagrange \u7cfb\u6570 (f, g)&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          r<\/p>\n<p>          (<\/p>\n<p>          t<\/p>\n<p>          )<\/p>\n<p>          &#061;<\/p>\n<p>          f<\/p>\n<p>           r<\/p>\n<p>           0<\/p>\n<p>          &#043;<\/p>\n<p>          g<\/p>\n<p>           v<\/p>\n<p>           0<\/p>\n<p>          \\\\mathbf{r}(t) &#061; f \\\\mathbf{r}_0 &#043; g \\\\mathbf{v}_0 <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathbf\">r<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mord\"><span class=\"mord mathbf\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6389em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mord\"><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.016em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u901a\u7528\u53d8\u91cf\u4f20\u64ad&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           \u03c7<\/p>\n<p>            n<\/p>\n<p>            &#043;<\/p>\n<p>            1<\/p>\n<p>          &#061;<\/p>\n<p>           \u03c7<\/p>\n<p>           n<\/p>\n<p>          \u2212<\/p>\n<p>            f<\/p>\n<p>            (<\/p>\n<p>             \u03c7<\/p>\n<p>             n<\/p>\n<p>            )<\/p>\n<p>             f<\/p>\n<p>             \u2032<\/p>\n<p>            (<\/p>\n<p>             \u03c7<\/p>\n<p>             n<\/p>\n<p>            )<\/p>\n<p>          \\\\chi_{n&#043;1} &#061; \\\\chi_n &#8211; \\\\frac{f(\\\\chi_n)}{f&#039;(\\\\chi_n)} <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6389em;vertical-align: -0.2083em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c7<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7778em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c7<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.363em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.427em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6779em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c7<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c7<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<hr \/>\n<h3>&#x1f4bb; 4. Python \u4ee3\u7801\u5b9e\u6218 (Code Deep Dive)<\/h3>\n<p>\u6211\u4eec\u5c06\u6838\u5fc3\u903b\u8f91\u62c6\u89e3\u4e3a\u4e09\u4e2a\u5173\u952e\u7247\u6bb5\u3002<\/p>\n<h4>4.1 \u5173\u952e\u7247\u6bb5\u4e00&#xff1a;\u9a6f\u670d\u516b\u6b21\u591a\u9879\u5f0f (\u4e60\u9898 5.25)<\/h4>\n<p><span class=\"token comment\"># \u6784\u5efa\u9ad8\u65af\u591a\u9879\u5f0f\u7cfb\u6570<\/span><br \/>\nA <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span> <span class=\"token comment\"># \u51e0\u4f55\u9879<\/span><br \/>\nB <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span> <span class=\"token comment\"># \u52a8\u529b\u5b66\u9879<\/span><br \/>\ncoeffs <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token punctuation\">(<\/span>A<span class=\"token operator\">**<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">&#043;<\/span> a_val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span>B<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span>B<span class=\"token operator\">**<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><br \/>\nroots <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>roots<span class=\"token punctuation\">(<\/span>coeffs<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token comment\"># \u7b5b\u9009\u5408\u7406\u7684\u6b63\u5b9e\u6839<\/span><br \/>\nr2_guess <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span>r<span class=\"token punctuation\">.<\/span>real <span class=\"token keyword\">for<\/span> r <span class=\"token keyword\">in<\/span> roots <span class=\"token keyword\">if<\/span> np<span class=\"token punctuation\">.<\/span>isreal<span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">and<\/span> r<span class=\"token punctuation\">.<\/span>real <span class=\"token operator\">&gt;<\/span> R_EARTH<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>\u89e3\u8bfb&#xff1a;\u8fd9\u662f\u201c\u65e0\u4e2d\u751f\u6709\u201d\u7684\u5173\u952e\u3002\u591a\u9879\u5f0f\u7684\u6839\u76f4\u63a5\u7ed9\u51fa\u4e86\u536b\u661f\u5230\u5730\u5fc3\u7684\u8ddd\u79bb&#xff0c;\u8ba9\u540e\u7eed\u8ba1\u7b97\u6709\u4e86\u843d\u811a\u70b9\u3002<\/p>\n<h4>4.2 \u5173\u952e\u7247\u6bb5\u4e8c&#xff1a;\u963b\u5c3c\u8fed\u4ee3\u7cbe\u4fee (\u4e60\u9898 5.26)<\/h4>\n<p><span class=\"token comment\"># \u9762\u5bf9\u75c5\u6001\u77e9\u9635\u7684\u751f\u5b58\u4e4b\u9053<\/span><br \/>\nalpha_damp <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span> <span class=\"token comment\"># \u963b\u5c3c\u56e0\u5b50&#xff0c;\u9632\u6b62\u4fee\u6b63\u8fc7\u731b\u5bfc\u81f4\u53d1\u6563<\/span><br \/>\nrho_new <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">&#8211;<\/span> alpha_damp<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> rho_old <span class=\"token operator\">&#043;<\/span> alpha_damp <span class=\"token operator\">*<\/span> rho_calculated<\/p>\n<p>\u89e3\u8bfb&#xff1a;\u5728\u7cbe\u5bc6\u5b9a\u8f68\u4e2d&#xff0c;\u76f4\u63a5\u8fed\u4ee3\u5f80\u5f80\u4f1a\u56e0\u4e3a\u89c2\u6d4b\u70b9\u592a\u8fd1&#xff08;\u75c5\u6001\u95ee\u9898&#xff09;\u800c\u8dd1\u98de\u3002\u963b\u5c3c\u56e0\u5b50\u5c31\u50cf\u662f\u4e00\u4f4d\u7ecf\u9a8c\u4e30\u5bcc\u7684\u8235\u624b&#xff0c;\u8ba9\u822a\u5411\u7f13\u6162\u800c\u575a\u5b9a\u5730\u5411\u771f\u503c\u9760\u62e2\u3002<\/p>\n<h4>4.3 \u5173\u952e\u7247\u6bb5\u4e09&#xff1a;\u771f\u76f8\u5927\u767d (\u4e60\u9898 5.27)<\/h4>\n<p><span class=\"token comment\"># \u77e2\u91cf\u8fd0\u7b97\u63d0\u53d6 COE<\/span><br \/>\nh_vec <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>cross<span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">,<\/span> v<span class=\"token punctuation\">)<\/span><br \/>\ne_vec <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">\/<\/span>MU<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> <span class=\"token punctuation\">(<\/span>np<span class=\"token punctuation\">.<\/span>cross<span class=\"token punctuation\">(<\/span>v<span class=\"token punctuation\">,<\/span> h_vec<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> MU <span class=\"token operator\">*<\/span> r<span class=\"token operator\">\/<\/span>np<span class=\"token punctuation\">.<\/span>linalg<span class=\"token punctuation\">.<\/span>norm<span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\necc <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>linalg<span class=\"token punctuation\">.<\/span>norm<span class=\"token punctuation\">(<\/span>e_vec<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u89e3\u8bfb&#xff1a;\u901a\u8fc7\u89d2\u52a8\u91cf\u548c\u504f\u5fc3\u7387\u77e2\u91cf\u7684\u53c9\u4e58\u8fd0\u7b97&#xff0c;\u6211\u4eec\u62e8\u5f00\u4e86\u5750\u6807\u7cfb\u7684\u8ff7\u96fe&#xff0c;\u76f4\u63a5\u770b\u5230\u4e86\u8f68\u9053\u7684\u51e0\u4f55\u672c\u8d28\u3002<\/p>\n<hr \/>\n<h3>&#x1f4ca; 5. \u7ed3\u679c\u63ed\u79d8 (The Result)<\/h3>\n<h4>5.1 \u4e60\u9898 5.25&#xff1a;\u521d\u6b65\u4f30\u8ba1 (Gauss Method)<\/h4>\n<p>\u5728\u9ad8\u65af\u6cd5\u7684\u7b2c\u4e00\u6b65&#xff0c;\u6211\u4eec\u5f97\u5230\u4e86\u536b\u661f\u4f4d\u7f6e\u7684\u521d\u6b65\u4f30\u8ba1\u3002\u6b64\u65f6\u8bef\u5dee\u8f83\u5927&#xff0c;\u4e3b\u8981\u662f\u56e0\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        f<\/p>\n<p>        ,<\/p>\n<p>        g<\/p>\n<p>       f, g<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><\/span> \u7ea7\u6570\u622a\u65ad\u5bfc\u81f4\u7684\u3002<\/p>\n<ul>\n<li>\u4e2d\u95f4\u65f6\u523b\u5730\u5fc3\u8ddd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           r<\/p>\n<p>           2<\/p>\n<p>         r_2<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>: 22360 km<\/li>\n<li>\u4f4d\u7f6e\u5411\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           r<\/p>\n<p>           2<\/p>\n<p>         \\\\mathbf{r}_2<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5944em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>: [-25858.3, 10285.8, 18227.9] km<\/li>\n<li>\u901f\u5ea6\u5411\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           v<\/p>\n<p>           2<\/p>\n<p>         \\\\mathbf{v}_2<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5944em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.016em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>: [-4.606, -0.597, 7.203] km\/s<\/li>\n<\/ul>\n<h4>5.2 \u4e60\u9898 5.26&#xff1a;\u7cbe\u5bc6\u5b9a\u8f68 (Iterative Improvement)<\/h4>\n<p>\u7ecf\u8fc7 50 \u6b21\u8fed\u4ee3\u4fee\u6b63&#xff0c;\u6d88\u9664\u7ea7\u6570\u8fd1\u4f3c\u8bef\u5dee\u540e&#xff0c;\u7ed3\u679c\u53d1\u751f\u4e86\u663e\u8457\u53d8\u5316&#xff1a;<\/p>\n<ul>\n<li>\u6700\u7ec8\u6536\u655b\u5730\u5fc3\u8ddd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           r<\/p>\n<p>           2<\/p>\n<p>         r_2<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>: 25168 km (\u76f8\u6bd4\u521d\u731c\u4fee\u6b63\u4e86\u7ea6 2800 km&#xff01;)<\/li>\n<li>\u4f4d\u7f6e\u5411\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           r<\/p>\n<p>           2<\/p>\n<p>         \\\\mathbf{r}_2<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5944em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>: [-19081.0, 7714.2, 14486.6] km<\/li>\n<li>\u901f\u5ea6\u5411\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           v<\/p>\n<p>           2<\/p>\n<p>         \\\\mathbf{v}_2<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5944em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.016em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>: [-3.278, -0.485, 5.082] km\/s<\/li>\n<\/ul>\n<h4>5.3 \u4e60\u9898 5.27&#xff1a;\u8f68\u9053\u6839\u6570 (COE)<\/h4>\n<p>\u5c06\u7cbe\u5bc6\u5b9a\u8f68\u540e\u7684\u72b6\u6001\u5411\u91cf\u7ffb\u8bd1\u6210\u201c\u8f68\u9053\u8bed\u8a00\u201d&#xff1a;<\/p>\n<ul>\n<li>\u89d2\u52a8\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          h<\/p>\n<p>         h<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\">h<\/span><\/span><\/span><\/span><\/span>: 76007.10 km\u00b2\/s<\/li>\n<li>\u534a\u957f\u8f74 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          a<\/p>\n<p>         a<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span>: -77708.99 km (\u8d1f\u503c\u9884\u793a\u7740\u53cc\u66f2\u7ebf)<\/li>\n<li>\u79bb\u5fc3\u7387 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          e<\/p>\n<p>         e<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">e<\/span><\/span><\/span><\/span><\/span>: 1.08927 (\u786e\u8ba4\u4e3a\u53cc\u66f2\u7ebf\u8f68\u9053)<\/li>\n<li>\u8f68\u9053\u503e\u89d2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          i<\/p>\n<p>         i<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span>: 62.98\u00b0<\/li>\n<li>\u5347\u4ea4\u70b9\u8d64\u7ecf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          \u03a9<\/p>\n<p>         \\\\Omega<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u03a9<\/span><\/span><\/span><\/span><\/span>: 136.95\u00b0<\/li>\n<li>\u8fd1\u5730\u70b9\u5e45\u89d2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          \u03c9<\/p>\n<p>         \\\\omega<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c9<\/span><\/span><\/span><\/span><\/span>: 287.33\u00b0<\/li>\n<li>\u771f\u8fd1\u70b9\u89d2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          \u03b8<\/p>\n<p>         \\\\theta<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span>: 112.92\u00b0<\/li>\n<\/ul>\n<hr \/>\n<h3>&#x1f9d0; 6. \u6df1\u5ea6\u6570\u636e\u5206\u6790 (Analysis)<\/h3>\n<ul>\n<li>\n<p>\u8fdb\u5316\u7684\u5386\u7a0b&#xff1a;<\/p>\n<table>\n<tr>\u9636\u6bb5\u4e2d\u95f4\u65f6\u523b\u8ddd\u79bb <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>              r<\/p>\n<p>              2<\/p>\n<p>            r_2<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5907\u6ce8<\/tr>\n<tbody>\n<tr>\n<td align=\"left\">\u9ad8\u65af\u6cd5\u521d\u731c (5.25)<\/td>\n<td align=\"left\">22360 km<\/td>\n<td align=\"left\">\u7c97\u7cd9&#xff0c;\u5b58\u5728\u7ea7\u6570\u622a\u65ad\u8bef\u5dee<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u6700\u7ec8\u6536\u655b (5.26)<\/td>\n<td align=\"left\">25168 km<\/td>\n<td align=\"left\">\u8fbe\u5230\u52a8\u529b\u5b66\u81ea\u6d3d<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<p>\u79bb\u5fc3\u7387 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           e<\/p>\n<p>           &gt;<\/p>\n<p>           1<\/p>\n<p>          e &gt; 1<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">e<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&gt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u8fd9\u662f\u4e00\u4e2a\u91cd\u78c5\u70b8\u5f39&#xff01;\u8fd9\u610f\u5473\u7740\u8be5\u76ee\u6807\u4e0d\u53d7\u5730\u7403\u5f15\u529b\u675f\u7f1a\u3002<\/p>\n<\/li>\n<li>\n<p>\u534a\u957f\u8f74 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           a<\/p>\n<p>           &lt;<\/p>\n<p>           0<\/p>\n<p>          a &lt; 0<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u5178\u578b\u7684\u53cc\u66f2\u7ebf\u8f68\u9053\u7279\u5f81\u3002<\/p>\n<\/li>\n<li>\n<p>\u7ed3\u8bba&#xff1a;\u8fd9\u9897\u201c\u536b\u661f\u201d\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u53cc\u66f2\u7ebf\u8f68\u9053\u63a0\u8fc7\u8005\u3002\u5b83\u53ef\u80fd\u662f\u4e00\u4e2a\u6df1\u7a7a\u63a2\u6d4b\u5668\u7684\u9003\u9038\u9636\u6bb5&#xff0c;\u6216\u8005\u662f\u4e00\u4e2a\u98de\u8d8a\u5730\u7403\u7684\u5c0f\u5929\u4f53\u3002\u5982\u679c\u6211\u4eec\u53ea\u505c\u7559\u5728\u7b2c\u4e00\u6b65\u7684\u4f30\u7b97&#xff0c;\u53ef\u80fd\u4f1a\u8bef\u4ee5\u4e3a\u5b83\u662f\u4e00\u4e2a\u5927\u692d\u5706\u536b\u661f&#xff01;<\/p>\n<\/li>\n<\/ul>\n<hr \/>\n<h3>&#x1f9e0; 7. \u6269\u5c55\u601d\u8003&#xff1a;\u5176\u4ed6\u89e3\u6cd5 (Alternative Approaches)<\/h3>\n<ul>\n<li>Gibbs \u6cd5&#xff1a;\u5982\u679c\u4f60\u80fd\u76f4\u63a5\u6d4b\u91cf\u5230\u4e09\u4e2a\u4f4d\u7f6e\u77e2\u91cf&#xff08;\u800c\u4e0d\u662f\u89d2\u5ea6&#xff09;&#xff0c;Gibbs \u6cd5\u4f1a\u66f4\u76f4\u63a5\u3002<\/li>\n<li>\u6700\u5c0f\u4e8c\u4e58\u5fae\u5206\u4fee\u6b63&#xff1a;\u5728\u5b9e\u9645\u5de5\u7a0b\u4e2d&#xff0c;\u6211\u4eec\u4f1a\u5229\u7528\u6210\u767e\u4e0a\u5343\u4e2a\u70b9\u8fdb\u884c\u6700\u5c0f\u4e8c\u4e58\u62df\u5408&#xff0c;\u90a3\u624d\u662f\u771f\u6b63\u7684\u201c\u7cbe\u96d5\u7ec6\u7422\u201d\u3002<\/li>\n<li>\u53cc r \u8fed\u4ee3&#xff1a;\u9ad8\u65af\u6cd5\u7684\u73b0\u4ee3\u6539\u8fdb\u7248&#xff0c;\u5bf9\u4e8e\u5927\u5f27\u5ea6\u89c2\u6d4b\u8868\u73b0\u66f4\u597d\u3002<\/li>\n<\/ul>\n<hr \/>\n<h3>&#x1f30c; 7. \u5de5\u7a0b\u5e94\u7528\u4e0e\u5c55\u671b (Engineering Impact)<\/h3>\n<ul>\n<li>\u5e94\u7528\u573a\u666f&#xff1a;\u8fd9\u5957\u6d41\u7a0b\u662f\u7a7a\u95f4\u6001\u52bf\u611f\u77e5 (SSA) \u7684\u57fa\u77f3\u3002\u65e0\u8bba\u662f\u76d1\u6d4b\u592a\u7a7a\u5783\u573e&#xff0c;\u8fd8\u662f\u62e6\u622a\u4e0d\u660e\u98de\u884c\u7269&#xff0c;\u90fd\u9700\u8981\u5148\u8fdb\u884c IOD&#xff0c;\u518d\u8fdb\u884c\u7cbe\u5bc6\u5b9a\u8f68\u3002<\/li>\n<li>\u5c40\u9650\u6027&#xff1a;\u672c\u6a21\u578b\u5ffd\u7565\u4e86\u5730\u7403\u975e\u7403\u5f62\u5f15\u529b (<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          J<\/p>\n<p>          2<\/p>\n<p>        J_2<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0962em\">J<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0962em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>) \u548c\u5927\u6c14\u963b\u529b\u3002\u5728\u4f4e\u8f68\u536b\u661f\u7684\u957f\u671f\u9884\u62a5\u4e2d&#xff0c;\u8fd9\u4e9b\u6444\u52a8\u9879\u662f\u4e0d\u53ef\u5ffd\u89c6\u7684\u3002<\/li>\n<\/ul>\n<hr \/>\n<h3>&#x1f4dd; 8. \u603b\u7ed3 (Summary)<\/h3>\n<p>\u901a\u8fc7\u8fd9\u4e09\u9053\u4e60\u9898\u7684\u8fde\u8d2f\u5b9e\u6218&#xff0c;\u6211\u4eec\u638c\u63e1\u4e86&#xff1a;<\/p>\n<li>\u9ad8\u65af\u6cd5\u7684\u51e0\u4f55\u672c\u8d28&#xff1a;\u5982\u4f55\u7528\u591a\u9879\u5f0f\u89e3\u51b3\u89d2\u5ea6\u5b9a\u8f68\u7684\u975e\u7ebf\u6027\u96be\u9898\u3002<\/li>\n<li>\u8fed\u4ee3\u6539\u8fdb\u7684\u5fc5\u8981\u6027&#xff1a;\u7406\u89e3\u7ea7\u6570\u8fd1\u4f3c\u7684\u5c40\u9650&#xff0c;\u5b66\u4f1a\u7528\u901a\u7528\u53d8\u91cf\u6cd5\u63d0\u5347\u7cbe\u5ea6\u3002<\/li>\n<li>\u6570\u503c\u7a33\u5b9a\u6027\u6280\u5de7&#xff1a;\u638c\u63e1\u963b\u5c3c\u8fed\u4ee3\u5728\u5904\u7406\u75c5\u6001\u5b9a\u8f68\u95ee\u9898\u4e2d\u7684\u5e94\u7528\u3002<\/li>\n<li>\u8f68\u9053\u7c7b\u578b\u7684\u7269\u7406\u5224\u65ad&#xff1a;\u5b66\u4f1a\u4ece <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         e<\/p>\n<p>        e<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">e<\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         a<\/p>\n<p>        a<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span> \u4e2d\u4e00\u773c\u8bc6\u522b\u51fa\u53cc\u66f2\u7ebf\u8f68\u9053\u7684\u201c\u9003\u9038\u8005\u201d\u672c\u8d28\u3002<\/li>\n<hr \/>\n<h3>\u58f0\u660e<\/h3>\n<p>\u672c\u6587\u7531AI\u751f\u6210\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3010\u5b9e\u6218\u3011\u4ece\u4ef0\u671b\u661f\u7a7a\u5230\u7cbe\u786e\u9501\u5b9a \u2014\u2014 \u521d\u8f68\u8ba1\u7b97 (IOD) \u7684\u7ec8\u6781\u901a\u5173\u6307\u5357 (\u4e60\u9898 5.25-5.27) &#x1f4a1; \u6458\u8981&#xff1a;\u5728\u832b\u832b\u5b87\u5b99\u4e2d&#xff0c;\u5982\u4f55\u4ec5\u51ed\u5730\u9762\u89c2\u6d4b\u5230\u7684\u4e09\u4e2a\u77ac\u65f6\u89d2\u5ea6&#xff0c;\u5c31\u63a8\u7b97\u51fa\u536b\u661f\u7684\u5b8c\u6574\u8f68\u9053&#xff1f;\u672c\u6587\u5c06\u5e26\u4f60\u8d70\u8fc7\u521d\u8f68\u786e\u5b9a (Initial Orbit Determination, IOD) \u7684\u201c\u4e09\u90e8\u66f2\u201d&#xff1a;\u4ece\u9ad8\u65af\u6cd5\u7684\u521d\u6b65\u4f30\u7b97&#xff0c;\u5230\u901a\u7528\u53d8\u91cf\u6cd5\u7684\u8fed\u4ee3\u7cbe\u4fee&#xff0c;\u6700\u540e\u8f6c\u5316\u4e3a\u76f4\u89c2\u7684\u8f68\u9053\u6839\u6570\u3002\u6211<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[6802,6534,6801],"topic":[],"class_list":["post-64354","post","type-post","status-publish","format-standard","hentry","category-server","tag-6802","tag-6534","tag-6801"],"yoast_head":"<!-- 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property=\"og:description\" content=\"\u3010\u5b9e\u6218\u3011\u4ece\u4ef0\u671b\u661f\u7a7a\u5230\u7cbe\u786e\u9501\u5b9a \u2014\u2014 \u521d\u8f68\u8ba1\u7b97 (IOD) \u7684\u7ec8\u6781\u901a\u5173\u6307\u5357 (\u4e60\u9898 5.25-5.27) &#x1f4a1; \u6458\u8981&#xff1a;\u5728\u832b\u832b\u5b87\u5b99\u4e2d&#xff0c;\u5982\u4f55\u4ec5\u51ed\u5730\u9762\u89c2\u6d4b\u5230\u7684\u4e09\u4e2a\u77ac\u65f6\u89d2\u5ea6&#xff0c;\u5c31\u63a8\u7b97\u51fa\u536b\u661f\u7684\u5b8c\u6574\u8f68\u9053&#xff1f;\u672c\u6587\u5c06\u5e26\u4f60\u8d70\u8fc7\u521d\u8f68\u786e\u5b9a (Initial Orbit Determination, IOD) \u7684\u201c\u4e09\u90e8\u66f2\u201d&#xff1a;\u4ece\u9ad8\u65af\u6cd5\u7684\u521d\u6b65\u4f30\u7b97&#xff0c;\u5230\u901a\u7528\u53d8\u91cf\u6cd5\u7684\u8fed\u4ee3\u7cbe\u4fee&#xff0c;\u6700\u540e\u8f6c\u5316\u4e3a\u76f4\u89c2\u7684\u8f68\u9053\u6839\u6570\u3002\u6211\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/64354.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2026-01-23T04:24:45+00:00\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/64354.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/64354.html\",\"name\":\"\u3010\u5b9e\u6218\u3011\u4ece\u4ef0\u671b\u661f\u7a7a\u5230\u7cbe\u786e\u9501\u5b9a \u2014\u2014 \u521d\u8f68\u8ba1\u7b97 (IOD) \u7684\u7ec8\u6781\u901a\u5173\u6307\u5357 (\u4e60\u9898 5.25-5.27) - 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