{"id":856,"date":"2024-03-31T22:35:43","date_gmt":"2024-03-31T14:35:43","guid":{"rendered":"https:\/\/cphos.cn\/?p=856"},"modified":"2025-11-05T16:39:08","modified_gmt":"2025-11-05T08:39:08","slug":"19th-cphos%e8%81%94%e8%80%83%e8%af%95%e9%a2%98%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/cphos.cn\/index.php\/exam-analysis\/856.html","title":{"rendered":"19th CPHOS\u8054\u8003\u8bd5\u9898\u5206\u6790"},"content":{"rendered":"\t\t
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\u00a0 \u00a0 \u00a0 \u00a0 \u7b2c19\u5c4aCPHOS\u7269\u7406\u7ade\u8d5b\u8054\u8003\u5df2\u4e8e3\u670811\u65e5\u7ed3\u675f\uff0c\u5171\u56de\u6536\u8bd5\u5377902\u4efd\uff0c\u67099\u4e2a\u7701\u4efd\u53c2\u8d5b\u4eba\u6570\u8d85\u8fc740\u4eba\u3002\u7ecf\u8fc7\u9605\u5377\u3001\u67e5\u5206\u73af\u8282\uff0c\u6211\u4eec\u6700\u7ec8\u4e8e3\u670819\u65e5\u516c\u5e03\u4e86\u6700\u7ec8\u6210\u7ee9\u3002\u672c\u6b21\u8054\u8003\u7684\u6570\u636e\u5206\u6790\u5df2\u548c\u672c\u6587\u7ae0\u540c\u6b65\u53d1\u5e03\u3002\u4ee5\u4e0b\u662f\u5bf9\u672c\u6b21\u8054\u8003\u7684\u8bd5\u9898\u8bc4\u6790\u548c\u7b54\u9898\u60c5\u51b5\u5206\u6790\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\u7406\u8bba\u7b2c\u4e00\u9898<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u8bd5\u9898\u8bc4\u6790<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u00a0 \u00a0 \u00a0 \u00a0 \u51fa\u6b64\u9898\u7684\u4e3b\u8981\u52a8\u673a\u662f\u51fa\u9898\u4eba\u521a\u521a\u5b66\u5b8c\u4e86\u7535\u52a8\u529b\u5b66\uff0c\u5bf9\u6b64\u90e8\u5206\u9898\u76ee\u6bd4\u8f83\u719f\u6089\u3002\u4f46\u662f\u53ef\u4ee5\u53d1\u73b0\u9898\u76ee\u4e2d\u7684\u5927\u90e8\u5206\u5185\u4ecd\u7136\u5c5e\u4e8e\u666e\u7269\uff0c\u5373\u4fbf\u9898\u76ee\u80cc\u666f\u5f88\u6709\u7535\u52a8\u529b\u5b66\u7684\u98ce\u683c\uff0c\u662f\u56e0\u4e3a\u51fa\u9898\u4eba\u8fd8\u662f\u5c3d\u91cf\u907f\u514d\u8d85\u7eb2\uff0c\u5c06\u8fd9\u4e9b\u77e5\u8bc6\u5c3d\u91cf\u7528\u666e\u7269\u7684\u65b9\u6cd5\u89e3\u51b3\u3002<\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \u672c\u4f53\u4e3b\u8981\u8003\u5bdf\u8003\u751f\u5bf9\u6700\u57fa\u7840\u7684\u4e8c\u7ef4\u65e0\u9650\u957f\u7684\u6e90\u7684\u7535\u573a\u548c\u78c1\u573a\u7684\u638c\u63e1\u7a0b\u5ea6\uff0c\u4e5f\u8003\u5bdf\u4e86\u8003\u751f\u7684\u4e00\u5b9a\u7684\u9605\u8bfb\u65b0\u6982\u5ff5\u5e76\u5e94\u7528\u7684\u80fd\u529b\uff0c\u672c\u9898\u4e3b\u8981\u4e5f\u662f\u56f4\u7ed5\u7740\u540c\u8f74\u7535\u7f06\u7684\u7279\u6027\u963b\u6297\u8fd9\u4e2a\u6982\u5ff5\u5c55\u5f00\u7684\u8ba8\u8bba\u3002\u6700\u540e\u4e00\u5c0f\u95ee\u4e5f\u662f\u5e0c\u671b\u6fc0\u53d1\u8003\u751f\u4e00\u5b9a\u7684\u7269\u7406\u751f\u6d3b\u5e94\u7528\u601d\u7ef4\uff0c\u4e0d\u4ec5\u4ec5\u5c40\u9650\u5728\u505a\u9898\u7684\u8303\u7574\u3002<\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \u672c\u9898\u96be\u5ea6\u9002\u4e2d\uff0c\u5bf9\u4e8e\u6c34\u5e73\u8f83\u9ad8\u7684\u540c\u5b66\u6765\u8bf4\u5e94\u8be5\u5f88\u5bb9\u6613\u5c31\u79d2\u6389\u4e86\u5427\u3002\uff08\u8fd9\u662f\u8003\u524d\u7684\u9884\u6d4bqwq\uff09<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\u4f5c\u7b54\u60c5\u51b5\u70b9\u8bc4<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u00a0 \u00a0 \u00a0 \u00a0 \u603b\u4f53\u6765\u8bf4\uff0c\u7b2c\u4e00\u9898\u7684\u7b54\u9898\u60c5\u51b5\u548c\u6211\u7684\u9884\u671f\u6709\u4e00\u5b9a\u7684\u5dee\u8ddd\u3002\u5df2\u7ecf\u53d7\u8fc7\u66f4\u591a\u7684\u7ade\u8d5b\u8bad\u7ec3\u7684\u540c\u5b66\u672c\u9898\u7684\u53d1\u6325\u6bd4\u8f83\u7a33\u5b9a\uff0c\u57fa\u672c\u90fd\u80fd\u62ff\u523020\u5de6\u53f3\u7684\u5206\u6570\uff0c\u5373\u5c06\uff081\uff09\uff082\uff09\u548c\uff083.1\uff09\u80fd\u591f\u57fa\u672c\u505a\u5bf9\uff0c\u8fd9\u4e5f\u662f\u6211\u5bf9\u540c\u5b66\u4eec\u6700\u57fa\u672c\u7684\u671f\u671b\u3002\u5f53\u7136\u8fd9\u91cc\uff083.2\uff09\u95ee\u635f\u8017\u529f\u7387\u7684\u8ba1\u7b97\u662f\u672c\u9898\u7684\u552f\u4e00\u96be\u70b9\uff0c\u786e\u5b9e\u5bfc\u81f4\u4e86\u4e0d\u5c11\u540c\u5b66\u7684\u5931\u8bef\uff0c\u4e0d\u8fc7\u7565\u4f4e\u4e8e\u9884\u671f\u3002\u00a0<\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \uff081\uff09\u95ee\u6211\u662f\u7279\u610f\u9650\u5b9a\u5728\u4e86\u4e00\u4e2a\u4e8c\u7ef4\u5e73\u9762\u4e2d\u53bb\u8003\u8651\u95ee\u9898\uff0c\u5c31\u662f\u5e0c\u671b\u540c\u5b66\u4eec\u80fd\u591f\u8fd0\u7528\u81ea\u5df1\u7684\u666e\u7269\u77e5\u8bc6\u800c\u975e\u7535\u52a8\u529b\u5b66\u6765\u89e3\u51b3\uff0c\u8fd9\u91cc\u5176\u5b9e\u5c31\u662f\u5f88\u7b80\u5355\u7684\u65e0\u9650\u957f\u5747\u5300\u5e26\u7535\u4f53\u548c\u65e0\u9650\u957f\u5747\u5300\u76f4\u5bfc\u7ebf\u7684\u7535\u78c1\u573a\uff0c\u53ea\u4e0d\u8fc7\u8981\u6c42\u4e00\u4e0b\u4e4b\u95f4\u7684\u7cfb\u6570\u6bd4\u3002\u672c\u9898\u5e38\u89c1\u9519\u8bef\u662f\u5199\u4e0b\u4e09\u7ef4\u7a7a\u95f4\u7684\\overrightarrow{E}=-\\nabla V<\/span>\uff0c \u4f46\u662f\u771f\u5b9e\u60c5\u51b5\u5e94\u8be5\u662f\\overrightarrow{E}=-\\nabla V-\\frac{\\partial\\overrightarrow{A}}{\\partial t}<\/span>\u3002\u6240\u4ee5\u4e3a\u4e86\u907f\u514d\u5f15\u5165\u8fd9\u79cd\u590d\u6742\u7684\u4e1c\u897f\uff0c\u7b54\u6848\u53ea\u5728\u4e8c\u7ef4\u4e2d\u6c42\u89e3\u3002\u672c\u95ee\u53ea\u6c42\u5927\u5bb6\u4e0d\u8981\u60f3\u592a\u591a\uff0c\u7b80\u7b80\u5355\u5355\u7684\u505a\u5b8c\uff0c\u9001\u5206\u3002\u00a0<\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \uff082\uff09\u95ee\u987a\u52bf\u505a\u4e0b\u6765\u4e5f\u662f\u9001\u5206\u3002\u00a0<\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \uff083.1\uff09\u95ee\u51fa\u73b0\u4e86\u5f88\u591a\u5171\u6027\u7684\u95ee\u9898\uff0c\u9996\u5148\u662f\u8fd9\u4e00\u5c0f\u95ee\u8981\u6c42\u8981\u7b973\u4e2a\u7ed3\u679c\uff0c\u6709\u7684\u4eba\u53ea\u7b97\u4e86\u4e00\u4e2aP<\/span>\uff1b\u5176\u6b21\u5728\u5199\u51fa\u4e86\uff0811\uff09\u5f0f\u540e\u5728\u5199\u51fa\uff0812\uff09\u5f0f\u7684\u65f6\u5019\u4fdd\u7559\u4e86\u4e00\u4e9bV_0<\/span>\uff0c\u4e0d\u77e5\u9053\u4e3a\u5565V_0^2<\/span>\u8981\u62c6\u5f00\u4e00\u4e2a\u7528E_{max}<\/span>\u8868\u793a\u4e86\u4e00\u4e2a\u5374\u4e0d\uff1b\u6700\u540e\u5efa\u8bae\u80fd\u7b97\u6570\u503c\u7684\u65f6\u5019\u6700\u540e\u7684\u7279\u6027\u963b\u6297\u7ed9\u51fa\u6570\u503c\u3002\u00a0<\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \uff083.2\uff09\u7a0d\u5fae\u89e3\u91ca\u4e00\u4e0b\uff0816\uff09\u5f0f\uff0c\u8fd9\u91cc\u7684R_s<\/span>\u8bf4\u7684\u662f\u5355\u4f4d\u957f\u5ea6\u7b49\u6548\u7684\u76f4\u6d41\u7535\u963b\uff0c\u4f60\u663e\u7136\u4e0d\u80fd\u7406\u89e3\u6210R_s=\\frac{dR}{dz}<\/span>\uff0c\u56e0\u4e3a\u8fd9\u6837\u7684\u8bddR_s<\/span>\u5c31\u4e0d\u662f\u5bfc\u4f53\u7684\u6027\u8d28\u800c\u662f\u8fd9\u4e2a\u6ce2\u5bfc\u7684\u6027\u8d28\u4e86\uff0c\u800c\u4e14\u5185\u5916\u8fd8\u4e00\u6837\u66f4\u5947\u602a\u4e86\u3002\u6211\u4eec\u53ef\u4ee5\u505a\u5fae\u5143\u5206\u6790\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\u00a0 \u00a0 \u00a0 \u00a0 I=\\int\\overrightarrow{j}\\cdot\\,d\\overrightarrow{S}=H_\\varphi dl<\/span>. \u5355\u4f4d\u529f\u7387\uff0c\u8003<\/span><\/span>\u8651\u5230\u5728dl<\/span>\u65b9\u5411\u662f\u7535\u963b\u5e76\u8054dP_l=\\frac{1}{2}\\frac{R_s}{dl}I^2<\/span>\uff0c \u90a3\u4e48\u603b\u635f\u8017\u529f\u7387P_l=\\oint\\frac{1}{2}\\frac{R_s}{dl}I^2=\\frac{1}{2}R_s\\oint H_\\varphi^2\\,dl<\/span>. \u5f53\u7136\u4e5f\u53ef\u4ee5\u603b\u4f53\u5206\u6790\uff0c\u4e5f\u8003\u8651\u57282\\pi r<\/span>\u957f\u5ea6\u4e0a\u7684\u7535\u963b\u5e76\u8054\uff0c\u635f\u8017\u529f\u7387P_l=\\frac{1}{2}\\frac{R_s}{2\\pi r}I^2=\\frac{1}{2}\\frac{R_s}{2\\pi r}\\left(\\oint H_\\varphi dl\\right)^2<\/span>.\u00a0<\/div>
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\u00a0 \u00a0 \u00a0 \u00a0 \u6700\u540e\u4e00\u95ee\uff0c\u8981\u662f\u7b97\u4e86\u524d\u4e24\u4e2a\u7279\u5f81\u963b\u503c\u7684\u6570\u503c\u5c31\u5f88\u5bb9\u6613\u770b\u51fa\u676550\\Omega<\/span>\u5728\u4e8c\u8005\u4e4b\u95f4\uff0c\u7ed3\u5408\u524d\u4e24\u95ee\u5404\u81ea\u7684\u6761\u4ef6\u5f88\u5bb9\u6613\u5199\u51fa\u4e86\u3002\u5f53\u7136\u6709\u5f88\u591a\u540c\u5b66\u6839\u672c\u5c31\u6ca1\u505a\u51fa\u6765\u524d\u4e24\u95ee\u5c31\u80fd\u7ed3\u5408\u9898\u5e72\u5199\u51fa\u6700\u540e\u4e00\u95ee\u7684\u7b54\u6848\uff0c\u5f88\u503c\u5f97\u8868\u626c\u3002<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u7406\u8bba\u7b2c\u4e8c\u9898<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u8bd5\u9898\u8bc4\u6790<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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[1]\u00a0\u611f\u5174\u8da3\u7684\u540c\u5b66\u53ef\u4ee5\u53c2\u8003\u6587\u732e\uff1a\u8521\u4e2d\u3001\u6c88\u7956\u57f9\u3001\u8d75\u9e3f\u5bbe\uff0c\u79bb\u5fc3\u529b\u573a\u4e2d\u7b49\u5e94\u529b\u60ac\u94fe\u7ebf\u7684\u7ebf\u578b\u8ba1\u7b97\uff0c\u6e05\u534e\u5927\u5b66\u5b66\u62a5\uff0cVol.30, No.6 1990\uff1b\u5468\u70b3\u8363\u3001\u9648\u5149\u52c7\uff0c\u6c14\u6d41\u7eba\u7eb1\u8f6c\u5b50\u8154\u5185\u7eb1\u7684\u66f2\u7ebf\u5f62\u72b6\u53ca\u5f20\u529b\uff0c\u534e\u4e1c\u7eba\u7ec7\u5de5\u5b66\u9662\u5b66\u62a5\uff0c1981\u00a0\u7b2c\u4e8c\u671f.<\/section>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u00a0 \u00a0 \u00a0 \u00a0 \u4ece\u7b54\u5377\u60c5\u51b5\u6765\u770b\uff0c\u7b2c\u4e00\u95ee\u7684\u5b8c\u6210\u5e76\u4e0d\u7406\u60f3\uff0c\u53ea\u6709\u6781\u5c11\u90e8\u5206\u8003\u751f\u7ed9\u51fa\u4e86\u6b63\u786e\u7684\u8fde\u7eed\u4f53\u5e73\u8861\u65b9\u7a0b\u3002\u53e6\u6709\u5c11\u90e8\u5206\u8003\u751f\u5bf9\u4e8e\u7ef3\u7d22\u8db3\u591f\u957f\u7406\u89e3\u4e3a\u4e86l_{10}\\gg R<\/span>\uff0c\u7b14\u8005\u5bf9\u6b64\u611f\u5230\u5341\u5206\u60cb\u60dc\uff0c\u5e94\u5f53\u5728\u9898\u76ee\u63cf\u8ff0\u91cc\u518d\u6e05\u6670\u5730\u6307\u51fa\u8ba1\u7b97\u7cbe\u786e\u5ea6\u7684\u91cf\u7ea7\u3002\u4f46\u603b\u4f53\u800c\u8a00\uff0c\u66b4\u9732\u51fa\u4e86\u5927\u90e8\u5206\u8003\u751f\u5bf9\u4e8e\u8fde\u7eed\u4f53\u95ee\u9898\u7684\u4e0d\u719f\u6089\u3002<\/section>
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\u00a0 \u00a0 \u00a0 \u00a0 \u6700\u540e\u611f\u8c22\u53cd\u9988\u95ee\u9898\u7684\u6559\u7ec3\u4eec\u548c\u5e2e\u5fd9\u8ba1\u7b97\u77eb\u6b63\u7684CPHOS\u7684\u540c\u5b66\u4eec\uff0c\u5e0c\u671b\u8003\u751f\u4eec\u80fd\u4ee5\u6211\u4e3a\u6212\uff0c\u5206\u6790\u95ee\u9898\u65f6\u5c3d\u91cf\u5168\u9762\u4ed4\u7ec6\uff0c\u4e0d\u8981\u6f0f\u6389\u91cd\u8981\u7684\u7ec6\u8282\uff08\u5927\u54ed.jpg\uff09\u3002<\/section>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u00a0 \u00a0 \u00a0 \u00a0 \u56de\u5f52\u81f3\u9898\u76ee\u672c\u8eab\uff0c\u867d\u7136\u4e0d\u5c11\u540c\u5b66\u9009\u62e9\u76f4\u63a5\u8df3\u8fc7\uff0c\u4f46\u662f\u505a\u4e86\u7684\u540c\u5b66\uff081.1\uff09\u95ee\u57fa\u672c\u662f\u53ef\u4ee5\u505a\u5bf9\u3002\uff081.1\uff09\u95ee\u662f\u9700\u8981\u6c42\u5de5\u4f5c\u65f6\u7684\u5916\u52a0\u7535\u538b\u4e0e\u6c27\u5316\u5c42\u3001\u8017\u5c3d\u5c42\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u800c\u9898\u76ee\u76f4\u63a5\u7ed9\u51fa\u8fd9\u4e2a\u5173\u7cfb\u7684\u5373\u201c\u57fa\u4e8e\u5e73\u5e26\u72b6\u6001\u4e0b\u65bd\u52a0\u7684\u989d\u5916\u6b63\u7535\u538b\u5206\u6210\u6c27\u5316\u5c42\u4e0a\u7684\u538b\u964dV_{ox}<\/span>\u548c\u534a\u5bfc\u4f53\u8017\u5c3d\u533a\u538b\u964d\\varphi_s<\/span>\u4e24\u90e8\u5206\u201d\uff0c\u79c9\u6301\u7740\u8ddf\u7740\u9898\u76ee\u610f\u601d\u8d70\u8fd9\u4e2a\u539f\u5219\uff0c\u8bb2\u8fd9\u53e5\u8bdd\u5199\u6210\u6570\u5b66\u8868\u8fbeV_g-V_{fb}=V_{ox}+\\varphi_s<\/span>\uff0c\u5219\u95ee\u9898\u8f6c\u5316\u4e3a\u5206\u522b\u8ba1\u7b97\u6c27\u5316\u5c42\u548c\u8017\u5c3d\u5c42\u7684\u538b\u964d\uff0c\u6c42\u6c27\u5316\u5c42\u538b\u964d\u8981\u6ce8\u610f\u7535\u8377\u5bc6\u5ea6\u7684\u6b63\u8d1f\u53f7\u548c\u538b\u964d\u7684\u6b63\u5411\uff0c\u4e0d\u8fc7\u6ca1\u6709\u6ce8\u610f\u7684\u8bdd\u6700\u540e\u4e24\u4e2a\u8d1f\u53f7\u4ecd\u7136\u4f1a\u6d88\u6389\u3002\uff081.2\uff09\u95ee\u6ce8\u610f\u5ba1\u9898\uff0c\u8981\u7ed9\u51fa\u4e24\u79cd\u886c\u5e95\u7684\u9608\u503c\u7535\u538b\u7684\u8868\u8fbe\u5f0f\uff0c\uff086\uff09\u5f0f\u5b9e\u9645\u5c31\u662f\uff085\uff09\u5f0f\u7684\u53d8\u5f62\uff0c\u6709\u6781\u5c11\u6570\u540c\u5b66\u8ba1\u7b97\u65f6\u51fa\u73b0\u4e86\u9519\u8bef\uff0c\u5173\u952e\u662fN\u578b\u886c\u5e95\u8fd9\u91cc\u9700\u8981\u77e5\u9053\u5b83\u7684\u8f7d\u6d41\u5b50\u548cP\u578b\u76f8\u53cd\uff0c\u6240\u4ee5\u8fd9\u91cc\u6211\u4eec\u5728\u5e73\u5e26\u72b6\u6001\u4e0b\u7684\u52a0\u538b\u76f4\u63a5\u53bb\u76f8\u53cd\u6570\u3002<\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \uff082.1\uff09\u95ee\uff0c\u9996\u5148\u660e\u767d\u6b64\u65f6\u9898\u76ee\u7814\u7a76\u7684\u72b6\u6001\u201cV_g<\/span>\u8fbe\u5230\u9608\u503c\u7535\u538b\u540e\u7ee7\u7eed\u589e\u52a0\uff0c\u6b64\u65f6\u534a\u5bfc\u4f53\u8868\u9762\u7535\u5b50\u6d53\u5ea6\u5c06\u8d85\u8fc7\u534a\u5bfc\u4f53\u4f53\u5185\u7a7a\u7a74\u6d53\u5ea6\u201d\u6e90\u533a\u7535\u538b\u4e3aV_s<\/span>\u4e3a\u65b0\u52a0\u7684\u6761\u4ef6\uff0c\u7b80\u8bb0\u6805\u6781\u7535\u538b\u4e3aV_{gs}<\/span>\uff0c\u6211\u4eec\u53ef\u4ee5\u5199\u51faMOS\u7535\u5bb9\u7ed3\u6784\u7684\u53cd\u578b\u5c42\u7535\u8377\u5bc6\u5ea6\uff0c\u6ce8\u610f\u5230\u662f\u8fbe\u5230\u9608\u503c\u7535\u538b\u4e4b\u540e\u624d\u53d1\u751f\u53cd\u578b\u7684\uff0c\u6545\u81ea\u7136\u5f97\u5230Q_{inv}=-C_{ox}(V_{gs}-V_{th})<\/span>\uff0c\u53c8\u9898\u76ee\u544a\u77e5\u201c\u5f53V_b\\neq V_s<\/span>\u65f6\uff0c\u53cd\u578b\u5c42\u7535\u8377\u9762\u5bc6\u5ea6Q_{inv}<\/span>\u8868\u8fbe\u5f0f\u5c06\u76f8\u6bd4MOS\u7535\u5bb9\u7ed3\u6784\u591a\u4e86\u8017\u5c3d\u533a\u5355\u4f4d\u9762\u79ef\u7535\u5bb9C_{dep}<\/span>\u5728\u7535\u538bV_{sb}<\/span>\u4f5c\u7528\u4e0b\u7684\u7535\u8377\u79ef\u7d2f\uff0c\u4e14V_{sb}<\/span>\u4e3a\u6b63\u65f6\u5bf9\u53cd\u578b\u5c42\u7535\u8377\u8d21\u732e\u4e3a\u6b63\u201d\u53ef\u77e5\u5b8c\u6574\u7684\u8868\u8fbe\u5f0f\uff0c\u5c06\u5176\u4e0e\u539f\u6765\u8868\u8fbe\u5f0f\u5bf9\u6bd4\u5f97\u5230\u7b49\u6548\u9608\u503c\u7535\u538b\u8868\u8fbe\u5f0f\uff0c\u975e\u5e38\u62b1\u6b49\u7684\u662f\u672c\u95ee\u6700\u540e\u4e00\u53e5\u5b57\u6bcd\u63d0\u793a\u6ca1\u6709\u5199\u4e0aV_{sb}<\/span>\uff0c\u4f46\u5176\u5b9e\u539f\u7a3f\u4e0a\u662f\u4e00\u4e2a\u5b57\u6bcd\u63d0\u793a\u6ca1\u6709\u7684\uff0c\u5f53\u7136\u7b14\u8005\u8ba4\u4e3a\u5728\u524d\u9762\u7684\u94fa\u57ab\u4e0b\u540c\u5b66\u4eec\u5e94\u8be5\u77e5\u9053\u672c\u9898\u7684\u5173\u952e\u5c31\u662fV_b\\neq V_s<\/span>\uff0c\u8981\u6c42\u7684\u5c31\u662f\u8fd9\u79cd\u60c5\u51b5\u4e0b\u9608\u503c\u7535\u538b\u8be5\u600e\u4e48\u7b49\u6548\uff0c\u53ef\u60f3\u5fc5\u7136\u7b54\u6848\u79bb\u4e0d\u5f00V_{sb}<\/span>\u3002\uff082.2\uff09\u95ee\u5f00\u59cb\u5219\u8fdb\u5165\u5b8c\u6574\u7248\uff0c\u8003\u8651\u6e90\u6f0f\u7aef\u5b58\u5728\u538b\u5dee\uff0c\u5373\u8003\u8651\u6709\u504f\u7f6e\u60c5\u51b5\u4e0b\u4e14\u8003\u8651\u504f\u538b\u5bf9\u6c9f\u9053\u957f\u5ea6\u7684\u8c03\u5236\u4f5c\u7528\uff0c\u770b\u8d77\u6765\u5f88\u552c\u4eba\uff0c\u4f46\u8fd8\u662f\u7b80\u5355\u5730\u8ddf\u7740\u9898\u76ee\u610f\u601d\u53bb\u5217\u8868\u8fbe\u5f0f\uff0c\u65e0\u975e\u5c31\u662f\u8bf4\u6c9f\u9053\u4e0a\u7684\u7535\u538b\u4e0ex\u6709\u5173\uff0c\u4e0d\u518d\u6052\u7b49\u4e8e\u6e90\u7535\u538b\uff0c\u90a3\u4e48\u53ea\u9700\u5c06\uff082.1\uff09\u95ee\u4e2d\u7684V_s<\/span>\u7528V_c(x)<\/span>\u66ff\u6362\u6389\u5373\u53ef\uff0c\u5982\u679c\u4e86\u89e3\u8fd9\u4e2a\u6a21\u578b\u53ef\u77e5\u8fd9\u91cc\u7684m<\/span>\u662f\u4f53\u7535\u8377\u6548\u5e94\u7684\u4f53\u73b0\uff0c\u4e00\u822c\u4ec5\u8003\u8651\u7406\u60f3\u6548\u5e94\u65f6m=1<\/span>\u3002\uff082.3\uff09\u95ee\u5b9e\u9645\u4e0a\u5c31\u662f\u4e00\u4e2a\u79ef\u5206\u63a8\u5bfc\uff0c\u8981\u6ce8\u610f\u7684\u662f\u7559\u5fc3\u4f1a\u53d1\u751f\u9971\u548c\uff0c\u6240\u4ee5\u662f\u5206\u6bb5\u51fd\u6570\u3002\u5e76\u4e14\uff082.3\uff09\u95ee\u5373\u4fbf\u524d\u51e0\u95ee\u90fd\u6ca1\u6709\u505a\u5bf9\uff0c\u4ecd\u7136\u53ef\u4ee5\u62ff\u5230\uff0813\uff09\uff0814\uff09\uff0815\uff09\u5f0f\u76846\u5206\u3002\u6240\u4ee5\u603b\u7684\u6765\u8bf4\uff0c\u8fd9\u79cd\u201c\u65b0\u201d\u9898\u5c5e\u4e8e\u53ea\u8981\u8ddf\u7740\u9898\u76ee\u8d70\uff0c\u627e\u5230\u9898\u76ee\u4e2d\u53ef\u4ee5\u8f6c\u6362\u6210\u6570\u5b66\u7b49\u5f0f\u7684\u6587\u5b57\uff0c\u57fa\u4e8e\u7269\u7406\u5b66\u6700\u57fa\u7840\u7684\u516c\u5f0f\u4e00\u6b65\u6b65\u5730\u5f80\u4e0b\u5199\u4fbf\u53ef\u62ff\u5230\u5927\u90e8\u5206\u7684\u5206\u6570\u3002\u8003\u573a\u4e0a\u4e0d\u53ef\u80fd\u6bcf\u4e2a\u6a21\u578b\u90fd\u662f\u719f\u6089\u7684\uff0c\u6240\u4ee5\u8fd9\u79cd\u80fd\u529b\u7684\u8bad\u7ec3\u8fd8\u662f\u6709\u5fc5\u8981\u7684\uff0c\u53ef\u4ee5\u5bf9\u7167\u7740\u56fd\u9645\u8d5b\u548c\u4e9a\u6d32\u8d5b\u7684\u9898\u76ee\u719f\u6089\u8fd9\u79cd\u5957\u8def\u3002\u53e6\u5916\uff0c\u5bf9\u672c\u9898\u6a21\u578b\u611f\u5174\u8da3\u7684\u540c\u5b66\u53ef\u4ee5\u7ffb\u9605\u8d75\u6bc5\u5f3a\u7684\u534a\u5bfc\u4f53\u7269\u7406\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

\u7406\u8bba\u7b2c\u4e94\u9898<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

\u8bd5\u9898\u8bc4\u6790<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

\u00a0 \u00a0 \u00a0 \u00a0 \u5728\u6211\u5927\u4e00\u4e0a\u5b66\u671f\u7684\u4fe1\u6982\u8bfe\u4e0a\uff0c\u4e00\u4e2a\u8001\u5e08\u8d1f\u8d23\u8bb2\u96c6\u6210\u7535\u8def\u90e8\u5206\uff0c\u4ed6\u5efa\u8bae\u6211\u4eec\u5728\u5199\u6bcf\u4e00\u671f\u7684\u4fe1\u6982\u62a5\u544a\u65f6\uff0c\u5c31\u81ea\u5df1\u611f\u5174\u8da3\u7684\u95ee\u9898\u67e5\u627e\u76f8\u5173\u6587\u732e\u81ea\u4e3b\u5b66\u4e60\u3002\u6211\u6ce8\u610f\u5230\u8fd1\u5e74\u5149\u523b\u673a\u76f8\u5173\u6280\u672f\u53d7\u5230\u5e7f\u6cdb\u5173\u6ce8\uff0c\u4e8e\u662f\u81ea\u5df1\u4e86\u89e3\u4e86\u4e00\u4e0b\u5149\u523b\u7684\u539f\u7406\uff0c\u5e76\u5c06\u5149\u523b\u6280\u672f\u4e2d\u4e00\u79cd\u8f83\u4e3a\u53e4\u8001\u7684\u5bf9\u51c6\u65b9\u5f0f\u51fa\u4f5c\u9898\u76ee\u3002<\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \u672c\u9898\u7b2c\uff081\uff09\u95ee\u8003\u8981\u6c42\u8ba1\u7b97\u76f8\u4f4d\u578b\u5149\u6805\u7684\u5149\u5f3a\u5206\u5e03\uff0c\u8003\u5bdf\u540c\u5b66\u4eec\u91c7\u7528\u590d\u632f\u5e45\u6cd5\u8ba1\u7b97\u5149\u5f3a\u7684\u57fa\u672c\u529f\uff0c\u601d\u8def\u8f83\u4e3a\u76f4\u63a5\uff1b\u7b2c\uff082\uff09\u95ee\u4e0e\uff081\uff09\u5173\u8054\u4e0d\u5927\uff0c\u9898\u5e72\u8f83\u957f\uff0c\u4e3b\u8981\u8003\u5bdf\u540c\u5b66\u4eec\u8bfb\u9898\u548c\u7406\u89e3\u60c5\u5883\u7684\u80fd\u529b\uff0c\u5e76\u8bd5\u56fe\u5f15\u5bfc\u540c\u5b66\u4eec\u8ba4\u8bc6\u8be5\u9879\u5bf9\u51c6\u6280\u672f\u7684\u539f\u7406\u3002<\/p>

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\u00a0 \u00a0 \u00a0 \u00a0 \u5728\u51fa\u9898\u4eba\u81ea\u5df1\u7406\u89e3\u8fd9\u4e00\u6a21\u578b\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4e5f\u9047\u5230\u4e00\u4e9b\u7591\u95ee\u3002\u6bd4\u5982\uff082.1\uff09\u4e2d\u201c\u5c06\u5149\u6591\u89c6\u4f5c\u65b0\u7684\u5b50\u6ce2\u6e90\u201d\uff0c\u4e0e\u6ce2\u5728\u4f20\u64ad\u8fc7\u7a0b\u4e2d\u7684\u72ec\u7acb\u6027\u4f3c\u4e4e\u76f8\u6096\u3002\u540c\u65f6\u63a9\u819c\u677f\u4e0a\u5e72\u6d89\u6761\u7eb9\u7684\u5206\u5e03\u5bbd\u5ea6\u662f\u5426\u5c31\u662f\u76f8\u4f4d\u5149\u6805\u51e0\u4f55\u5149\u5b66\u50cf\u7684\u5bbd\u5ea6\u4e5f\u6709\u5f85\u8003\u8bc1\u3002\u8fd9\u70b9\u7559\u4f5c\u540c\u5b66\u4eec\u4ee5\u53ca\u6211\u81ea\u5df1\u65e5\u540e\u8be6\u7ec6\u63a2\u7a76\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\u4f5c\u7b54\u60c5\u51b5\u70b9\u8bc4<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u00a0 \u00a0 \u00a0 \u00a0<\/section>
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\u00a0 \u00a0 \u00a0 \u00a0<\/section>
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\u00a0 \u00a0 \u00a0 \u00a0<\/section>
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\u8bd5\u9898\u8bc4\u6790<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u00a0 \u00a0 \u00a0 \u00a0 3\u3001\u547d\u9898\u4eba\u80e1\u626f\uff1a\u5176\u5b9e\u5728\u8fd9\u4e2a\u9898\u76ee\u5b9e\u9645\u4e0a\u6765\u6e90\u4e8e\u6211\u5b66\u70ed\u5b66\u8fc7\u7a0b\u4e2d\u7684\u4e00\u4e9b\u8ba8\u8bba\u548c\u5206\u6790\uff08\u4ee5\u53ca\u770b\u5230\u5317\u4eac\u5927\u96ea\u60f3\u5230\u4e86\u76f8\u53d8\u540e\u4ea7\u751f\u4e86\u8fd9\u4e2a\u95ee\u9898\uff09\u3002\u611f\u89c9\u81ea\u5df1\u5728\u7ade\u8d5b\u9636\u6bb5\u5bf9\u70ed\u5b66\u7684\u7406\u89e3\u975e\u5e38\u6d45\u8584\uff0c\u4e43\u81f3\u5bf9\u4e00\u4e9b\u66f4\u52a0\u57fa\u672c\u7684\u6982\u5ff5\u4ee5\u53ca\u5f88\u591a\u70ed\u529b\u5b66\u5173\u7cfb\u6709\u76f8\u5f53\u5927\u7684\u8bef\u533a\uff0c\u6240\u4ee5\u5e0c\u671b\u901a\u8fc7\u8fd9\u4e2a\u9898\u8ba9\u5927\u5bb6\u901a\u8fc7\u6700\u57fa\u672c\u7684\u70ed\u529b\u5b66\u7b2c\u4e00\u5b9a\u5f8b\uff08\u6216\u8005\u8bb2\u80fd\u91cf\u5b88\u6052\uff09\u5bf9\u70ed\u5b66\u6709\u4e00\u4e2a\u66f4\u6df1\u523b\u7684\u8ba4\u8bc6\u3002\u800c\u4e14\u672c\u9898\u5b9e\u9645\u662f\u5b58\u5728\u4e00\u4e2a\u6096\u8bba\uff08paradox\uff09\u7684\uff0c\u6211\u5c31\u6d45\u6d45\u628a\u5b83\u4f5c\u4e3a\u4e00\u4e2a\u5f69\u86cb\u4e86\u6b22\u8fce\u8003\u5b8c\u8fd9\u5957\u5377\u5b50\u7684\u5bb6\u4eba\u4eecbattle[2]\u3002<\/p>

[2]\u00a0\u5373\u5168\u540c\u7c92\u5b50\u6df7\u5408\u71b5\u53d8\u7684Gibbs\u4f6f\u8c2c\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

\n\t\t\t\t\t\t
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\u4f5c\u7b54\u60c5\u51b5\u70b9\u8bc4<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u00a0 \u00a0 \u00a0 \u00a0 \u672c\u9898\u5b9e\u9645\u8003\u5bdf\u4e86\u4e00\u4e9b\u70ed\u529b\u5b66\u4e2d\u66f4\u52a0\u672c\u8d28\u66f4\u52a0\u6570\u5b66\u5316\u7684\u8bae\u9898\uff0c\u6839\u636e\u8bd5\u5377\u5206\u5e03\u53ef\u4ee5\u770b\u51fa\uff081\uff09\u95ee\u4e2d\u7684\u5185\u5bb9\u5b9e\u9645\u662f\u5927\u90e8\u5206\u540c\u5b66\u53ef\u4ee5\u6839\u636e\u5f15\u5bfc\u5b8c\u6210\u3002\u672c\u9898\u7684\u7b2c\uff081.3\uff09\u95ee\u662f\u57fa\u4e8e\u524d\u4e24\u95ee\u7684\u5ef6\u7533\uff0c\u5176\u8ba8\u8bba\u4e86\u975e\u7406\u60f3\u6c14\u4f53\u4e0b\u7684\u95ee\u9898\uff0c\u6839\u636e\u7edf\u8ba1\u6570\u636e\u540c\u5b66\u4eec\u5bf9\u8fd9\u4e2a\u95ee\u9898\u7684\u4f5c\u7b54\u975e\u5e38\u4e00\u822c\uff0c\u4e2a\u4eba\u8ba4\u4e3a\u9020\u6210\u8fd9\u4ef6\u4e8b\u7684\u539f\u56e0\u662f\u5927\u5bb6\u5728\u5b66\u4e60\u70ed\u529b\u5b66\u7684\u8fc7\u7a0b\u6bd4\u8f83\u5ffd\u7565\u4e86\u5fae\u5206\u5f62\u5f0f\u7684\u8868\u8fbe\u5f0f\u7684\u7406\u89e3\u548c\u5206\u6790\u3002\u57fa\u4e8e39\u5c4a\u51b3\u8d5b\u7684\u8003\u5bdf\uff0c\u7b14\u8005\u8ba4\u4e3a\u5728\u672a\u6765\u8fd9\u6837\u7684\u9898\u76ee\u5b9e\u9645\u662f\u53ef\u80fd\u7ecf\u5e38\u51fa\u73b0\u7684\uff0c\u5bf9\u70ed\u529b\u5b66\u5404\u7269\u7406\u91cf\u7684\u66f4\u52a0\u6df1\u5c42\u7684\u8ba4\u8bc6\u662f\u6709\u5fc5\u8981\u7684\uff0c\u5c24\u5176\u662f\u5982\u4f55\u5904\u7406\u504f\u5fae\u5206\u662f\u7ade\u8d5b\u9636\u6bb5\u975e\u5e38\u7f3a\u5931\u7684\u90e8\u5206[3]\u3002\u53e6\u5916\uff0c\u672c\u95ee\u4e2d\u6709\u540c\u5b66\u548c\u8001\u5e08\u63d0\u51fa\u4e86\u6211\u4eec\u6c42\u7684\u201c\u5355\u7c92\u5b50\u201d\u7269\u7406\u91cf\u662f\u5426\u5b58\u5728\u610f\u4e49\uff0c\u8fd9\u91cc\u89e3\u91ca\u4e00\u4e0b\uff1a\u8fd9\u6837\u7684\u8bf4\u6cd5\u4ec5\u4ec5\u662f\u6570\u5b66\u4e0a\u7684\u5e73\u5747\u6982\u5ff5\uff0c\u4e5f\u5c31\u662f\u628a\u70ed\u529b\u5b66\u91cf\u9664\u4ee5\u603b\u7c92\u5b50\u6570 \uff0c\u800c\u5e76\u4e0d\u662f\u771f\u7684\u5355\u4e2a\u7c92\u5b50\u3002<\/section>
\u00a0 \u00a0 \u00a0 \u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u672c\u9898\u7684\u7b2c\uff082\uff09\u95ee\u8003\u5bdf\u7684\u662f\u76f8\u53d8\u95ee\u9898\uff0c\u540c\u5b66\u4eec\u6574\u4f53\u4f5c\u7b54\u826f\u597d\uff0c\u90e8\u5206\u540c\u5b66\u6ca1\u6709\u5b8c\u6210\u5728\u4f53\u79ef\u7ea6\u675f\u4e0b\u7684\u6700\u7ec8\u8868\u8fbe\u5f0f\uff0c\u4e0d\u8fc7\u603b\u4f53\u800c\u8a00\u53ef\u4ee5\u770b\u51fa\u540c\u5b66\u4eec\u5bf9\u76f8\u53d8\u7684\u5904\u7406\u638c\u63e1\u7684\u8fd8\u4e0d\u9519\u3002<\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>

[3]\u00a0\u6709\u9700\u6c42\u7684\u540c\u5b66\u4e5f\u53ef\u4ee5\u53c2\u8003\u300a\u7269\u7406\u5b66\u5927\u9898\u5178\u300b\u76f8\u5173\u7ae0\u8282\u7684\u95ee\u9898\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

\n\t\t\t\t\t\t
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\n\t\t\t\t\t

\u7406\u8bba\u7b2c\u4e03\u9898<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
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\n\t\t\t\t
\n\t\t\t\t\t

\u8bd5\u9898\u8bc4\u6790<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u00a0 \u00a0 \u00a0 \u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u672c\u9898\u7684\uff083\uff09\uff084\uff09\u4e24\u4e2a\u5c0f\u95ee\u6765\u81ea\u4e8e\u7b14\u8005\u7684\u4e00\u6b21\u4f5c\u4e1a\uff1a\u5f53\u4e14\u4ec5\u5f53\u529b\u573a\u6ee1\u8db3\u7ebf\u6027\u6216\u5e73\u65b9\u53cd\u6bd4\u5f8b\u65f6\uff0c\u624d\u80fd\u7ed9\u51fa\u692d\u5706\u8f68\u9053\uff1b\u4f46\u7ebf\u6027\u529b\u573a\u548c\u5e73\u65b9\u53cd\u6bd4\u529b\u573a\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u5173\u8054\uff1f\u51fa\u4e4e\u610f\u6599\u7684\u662f\uff0c\u8fd9\u4e2a\u7ed3\u8bba\u53ef\u4ee5\u901a\u8fc7\u5e76\u4e0d\u592a\u590d\u6742\u7684\u6570\u5b66\u63a8\u5bfc\u7ed9\u51fa\uff0c\u8fd9\u4e24\u4e2a\u5c0f\u95ee\u5c31\u662f\u8bd5\u56fe\u5f15\u5bfc\u5927\u5bb6\u53d1\u73b0\u8fd9\u4e8c\u8005\u7684\u5173\u8054\uff0c\u4e5f\u88ab\u79f0\u4e3aKasner-Arnold\u5b9a\u7406\u3002\u5728\u5177\u4f53\u8ba1\u7b97\u65f6\uff0c\u5c24\u5176\u662f\u53d8\u6362\u540e\u8f68\u9053\u7684\u8868\u8fbe\u5f0f\u9700\u8981\u975e\u5e38\u5c0f\u5fc3\uff0c\u56e0\u4e3a\u6d89\u53ca\u5230\u590d\u5408\u51fd\u6570\u7684\u5bfc\u6570\u8fd0\u7b97\u3002\u5018\u82e5\u4e0d\u7528\u6e05\u6670\u7684\u7b26\u53f7\u52a0\u4ee5\u533a\u5206\uff0c\u5c31\u5f88\u53ef\u80fd\u5bfc\u81f4\u7b26\u53f7\u6ee5\u7528\u800c\u9020\u6210\u6f0f\u6389\u7cfb\u6570\u7684\u60c5\u51b5\u3002\u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u6700\u540e\uff0c\u5e94\u8be5\u6307\u51fa\uff0c\u672c\u9898\u540e\u4e24\u5c0f\u95ee\u8ba8\u8bba\u7684\u5185\u5bb9\u6bd4\u8f83\u5206\u6790\u5316\uff0c\u53ef\u80fd\u4e0e\u5b9e\u9645\u5e94\u7528\u7684\u5173\u8054\u5e76\u4e0d\u7d27\u5bc6\uff0c\u7b14\u8005\u547d\u5236\u672c\u9898\u7684\u672c\u610f\u5728\u4e8e\u8ba9\u5927\u5bb6\u4e5f\u53ef\u4ee5\u5728\u51c6\u5907\u8003\u8bd5\u4e4b\u4f59\u5c1d\u8bd5\u53bb\u611f\u53d7\u4e00\u4e9b\u6709\u610f\u601d\u7684\u4e1c\u897f\u3002<\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>
[4]\u00a0\u5e93\u6069.\u00a0\u54e5\u767d\u5c3c\u9769\u547d[M].\u00a0\u5317\u4eac\u5927\u5b66\u51fa\u7248\u793e, 2003.<\/section>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

\u4f5c\u7b54\u60c5\u51b5\u70b9\u8bc4<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\u00a0 \u00a0 \u00a0 \u00a0 \u672c\u9898\u7684\uff081\uff09\uff082\uff09\u95ee\u76f8\u5bf9\u800c\u8a00\u6bd4\u8f83\u57fa\u7840\u3002\u7b2c\uff081\uff09\u95ee\u4e2d\u5927\u90e8\u5206\u8003\u751f\u90fd\u77e5\u9053\u7ebf\u6027\u56de\u590d\u529b\u5728\u76f4\u89d2\u5750\u6807\u4e0b\u5206\u89e3\u8ba1\u7b97\u6bd4\u8f83\u65b9\u4fbf\uff0c\u4e5f\u53ef\u4ee5\u5f88\u597d\u5730\u7406\u89e3\u672c\u8f6e\u548c\u5747\u8f6e\u7684\u6982\u5ff5\uff0c\u5c11\u90e8\u5206\u8003\u751f\u5728\u6781\u5750\u6807\u7cfb\u4e0b\u8ba1\u7b97\u786e\u5b9e\u4f1a\u5bfc\u81f4\u7ed3\u679c\u66f4\u590d\u6742\u4e00\u4e9b\u3002\u7b2c\uff082\uff09\u95eez(\\theta)<\/span>\u7684\u5f62\u5f0f\u4e4d\u4e00\u770b\u6709\u4e9b\u964c\u751f\uff0c\u4f46\u5176\u5b9e\u5c31\u662f\u719f\u77e5\u7684\u692d\u5706\u8f68\u9053\u65b9\u7a0b\u7528\u6781\u5750\u6807\u5199\u51fa\u7684\u6837\u5b50[5] \uff0c\u5927\u90e8\u5206\u8003\u751f\u53ef\u4ee5\u6b63\u786e\u5199\u51fap<\/span>\u548c\\varepsilon<\/span>\u7684\u5f62\u5f0f\u3002\u51fa\u4e4e\u7b14\u8005\u610f\u6599\u7684\u662f\uff0c\u5230\u4e86\uff082.2\uff09\u95ee\uff0c\u5f88\u591a\u8003\u751f\u5fd8\u8bb0\u8003\u8651\u5230\\theta(t)<\/span>\u5e76\u4e0d\u518d\u662f\u968f\u65f6\u95f4\u7ebf\u6027\u53d8\u5316\u7684\\Omega t<\/span>\u4e86\uff0c\u53ea\u628ar(\\theta)<\/span>\u505a\u5c0f\u91cf\u5c55\u5f00\u5230\u4e00\u9636\uff1b\u5f53\u9898\u76ee\u9700\u8981\u8ba1\u7b97\u51c6\u81f3\u4e00\u9636\u5c0f\u91cf\\varepsilon<\/span>\u7684z(t)<\/span>\u65f6\uff0c\\theta(t)<\/span>\u53ea\u4fdd\u7559\u5230\u96f6\u9636\u663e\u7136\u662f\u4e0d\u5408\u7406\u7684\uff0c\u6211\u4eec\u5e94\u8be5\u6839\u636e\u89d2\u52a8\u91cf\u5b88\u6052\u6765\u7b97\u51fa\u5b83\u7684\u4e00\u9636\u4fee\u6b63\u3002\u8fd9\u5bfc\u81f4\u5f88\u591a\u8003\u751f\u7684\u7b54\u6848\u867d\u7136\u662f\u5927\u90e8\u5206\u6b63\u786e\uff08\u751a\u81f3\u662f\u5b8c\u5168\u6b63\u786e\u7684\uff09\uff0c\u4f46\u662f\u8fd9\u91cc\u6700\u5173\u952e\u7684\u4e00\u6b65\u4fee\u6b63\u5374\u538b\u6839\u6ca1\u6709\u8003\u8651\uff0c\u8003\u751f\u53ef\u81ea\u884c\u6bd4\u5bf9\u81ea\u5df1\u548c\u53c2\u8003\u7b54\u6848\u7684z(t)<\/span>\uff0c\u770b\u770b\u81ea\u5df1\u7a76\u7adf\u662f\u771f\u7b97\u5bf9\u7684\u7b54\u6848\uff0c\u8fd8\u662f\u51d1\u5bf9\u7684\u7b54\u6848\u3002\u539f\u5219\u4e0a\uff0c\u8fc7\u7a0b\u9519\u8bef\u51d1\u5bf9\u7684\u7b54\u6848\u4e0d\u5e94\u8be5\u7ed9\u5206\uff0c\u4e0d\u8fc7\u8fd9\u6b21\u5728\u4ef2\u88c1\u65f6\u8fd8\u662f\u51b3\u5b9a\u8fc7\u7a0b\u9519\u8bef\u4e0d\u7ed9\u5206\u3001\u4f46\u628a\u7b54\u6848\u5206\u7ed9\u5230\u5927\u5bb6\u3002\u603b\u4f53\u6765\u8bf4\uff0c\uff081\uff09\uff082\uff09\u4e24\u95ee\u7684\u5f97\u5206\u60c5\u51b5\u8fd8\u7b97\u826f\u597d\uff0c\u4e3b\u8981\u5931\u5206\u5728\uff082.2\uff09\u95ee\uff0c\u4ee5\u53ca\u90e8\u5206\u5f04\u6df7\u672c\u8f6e\u5747\u8f6e\u3001\u5316\u7b80\u592a\u4e0d\u5f7b\u5e95\u9020\u6210\u5224\u5377\u56f0\u96be\u7b49\u60c5\u51b5\u3002<\/section>
\u00a0 \u00a0 \u00a0 \u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u7b2c\uff083\uff09\uff084\uff09\u5c0f\u95ee\u76f8\u5bf9\u800c\u8a00\u96be\u5ea6\u66f4\u5927\u3002\u7b2c\uff083\uff09\u5c0f\u95ee\u9700\u8981\u8003\u751f\u4e00\u5b9a\u7a0b\u5ea6\u7684\u6d1e\u5bdf\u529b\uff0c\u5728\u8ba1\u7b97z^2<\/span>\u540e\u610f\u8bc6\u5230\u8fd9\u662f\u4e00\u4e2a\u504f\u5fc3\u7684\u692d\u5706\u8f68\u9053\uff0c\u6b63\u597d\u5bf9\u5e94\u524d\u9762\u7b97\u8fc7\u7684c=-2<\/span>\u7684\u5e73\u65b9\u53cd\u6bd4\u6709\u5fc3\u529b\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u91cc\u5e73\u65b9\u540e\u7684\u8f68\u9053z^2(t)<\/span>\u4e2d\uff0ct<\/span>\u4ec5\u4ec5\u53ea\u662f\u4e00\u4e2a\u53c2\u6570\uff0c\u4e0d\u518d\u5177\u6709\u65f6\u95f4\u7684\u610f\u4e49\uff08\u4e00\u4e2a\u8f68\u9053\u65e2\u53ef\u4ee5\u7528\\theta<\/span>\u5f53\u53c2\u6570\uff0c\u4e5f\u53ef\u4ee5\u7528t<\/span>\u5f53\u53c2\u6570\uff0c\u8fd8\u53ef\u4ee5\u7528\u4efb\u4f55\u4e00\u4e2a\u5408\u7406\u7684\u6620\u5c04\u5f53\u53c2\u6570\uff09\uff0c\u56e0\u6b64\u62ff\u5e73\u65b9\u540e\u7684\u8f68\u9053\u8bd5\u56fe\u8ba1\u7b97\\ddot{z}<\/span>\u662f\u4e0d\u53ef\u884c\u7684\u3002\u4f46\u5373\u4f7f\u8003\u751f\u6ca1\u6709\u89c2\u5bdf\u51fa\u6765\u7b2c\uff083\uff09\u95ee\u7684\u5bf9\u5e94\u5173\u7cfb\uff0c\u76f4\u63a5\u8ba1\u7b97\u7b2c\uff084\uff09\u5c0f\u95ee\u5e76\u5c06\u7b2c\uff083\uff09\u5c0f\u95ee\u4f5c\u4e3a\u7279\u4f8b\u5f53\u7136\u4e5f\u662f\u53ef\u4ee5\u7684\u3002\u4ee4\u7b14\u8005\u6b23\u6170\u7684\u662f\uff0c\u6709\u5c11\u90e8\u5206\u540c\u5b66\uff08\u5927\u7ea610\u540d\uff09\u6210\u529f\u8ba1\u7b97\u51fa\u4e86\u7b2c\uff084\uff09\u95ee\u7684\u6b63\u786e\u7ed3\u8bba\u3002\u6709\u90e8\u5206\u8003\u751f\u867d\u7136\u6709\u4e86\u53ef\u4ee5\u8fdb\u884c\u7684\u601d\u8def\uff0c\u4f46\u662f\u5728\u4f5c\u7b54\u8fc7\u7a0b\u4e2d\u4e0d\u77e5\u4e0d\u89c9\u628a\u81ea\u5df1\u7ed5\u6655\u8fdb\u53bb\u4e86\u2014\u2014\u5f84\u5411\u5750\u6807\u53d8\u6210m\u6b21\u65b9\uff0c\u89d2\u5411\u5750\u6807\u5374\u8981\u53d8\u6210\\frac{\\theta}{m}<\/span>\u5904\u7684\u5bf9\u5e94\u503c\uff0c\u5982\u679c\u4e0d\u7528\u6e05\u6670\u7684\u7b26\u53f7\u6765\u533a\u5206\u53d8\u6362\u524d\u548c\u53d8\u6362\u540e\u7684z(\\theta)<\/span>\u6216\u8005u(\\theta)<\/span>\uff0c\u6781\u6709\u53ef\u80fd\u628a\u81ea\u5df1\u7ed5\u6655\u3002\u8fd9\u4e5f\u53cd\u6620\u51fa\u8003\u751f\u5728\u5206\u6790\u8fd0\u7b97\u57fa\u672c\u529f\u65b9\u9762\u4ecd\u6709\u63d0\u5347\u7a7a\u95f4[6]\u3002\u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u7b2c\uff084\uff09\u95ee\u5176\u5b9e\u9664\u4e86\u6807\u7b54\u505a\u6cd5\u4e4b\u5916\uff0c\u4e5f\u53ef\u4ee5\u76f4\u63a5\u5229\u7528\u80fd\u91cf\u5b88\u6052\u548c\u89d2\u52a8\u91cf\u5b88\u6052\uff08\u4e5f\u5c31\u662f\u4e00\u6b21\u79ef\u5206\u7684\u7ed3\u679c\uff09\u8fdb\u884c\u8ba1\u7b97\u3002\u5982\u679c\u5bf9\u54c8\u5bc6\u987f\u529b\u5b66\u6709\u6240\u6d89\u730e\u7684\u540c\u5b66\uff0c\u4e5f\u53ef\u4ee5\u5c1d\u8bd5\u4ece\u6b63\u5219\u53d8\u6362\u7684\u89d2\u5ea6\u8fdb\u884c\u63a8\u5bfc\uff1a\u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 A\u7cfb\u7edf\u7684\u54c8\u5bc6\u987f\u91cf H^A(r,\\theta,p_r,p_\\theta)=\\frac{1}{2M}\\left(p_r^2+\\frac{p_\\theta^2}{r^2}\\right)+k_1^\\prime r^{A+1}<\/span><\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u5982\u679c\u4f5c\u53d8\u6362R=\\frac{r^m}{l^{m-1}}<\/span>\uff0c\\Theta=m\\theta<\/span>\uff0c\uff08l<\/span>\u662f\u4efb\u610f\u4e00\u4e2a\u957f\u5ea6\u91cf\u7eb2\u7684\u53c2\u91cf\uff09\uff0c\u53d8\u6362\u4e3a\u6b63\u5219\u53d8\u6362\u7684\u6761\u4ef6\u662f \\{R,P_R\\}=\\{r,p_r\\}=1<\/span>\uff0c\\{\\Theta,P_\\Theta\\}=\\{\\theta,p_\\theta\\}=1<\/span><\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u5176\u4e2d \\{f,g\\}:=\\sum_{i=1}\\frac{\\partial f}{\\partial q_i}\\frac{\\partial g}{\\partial p_i}-\\frac{\\partial g}{\\partial q_i}\\frac{\\partial f}{\\partial p_i}<\/span>\u662f\u6cca\u677e\u62ec\u53f7\u3002\u8fd9\u6837\u4e8b\u5b9e\u4e0a\u8981\u6c42\\frac{dR}{dr}\\frac{dP_R}{dp_r}=1\\rightarrow P_R=\\frac{l^{m-1}}{mr^{m-1}}p_r<\/span>\uff0c\\frac{d\\Theta}{d\\theta}\\frac{dP_\\Theta}{dp_\\theta}=1\\rightarrow P_\\Theta=\\frac{1}{m}p_\\theta<\/span><\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>
<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u56e0\u6b64\u53d8\u6362\u540e\u7684\u54c8\u5bc6\u987f\u91cfK^A(R,\\Theta,P_R,P_\\Theta)=\\frac{1}{2M}\\left(\\frac{m^2R^{\\frac{2(m-1)}{m}}}{l^{\\frac{2(m-1)}{m}}}P_R^2+\\frac{m^2P_\\Theta^2}{l^{\\frac{2(m-1)}{m}}R^\\frac{2}{m}}\\right)+k_1^\\prime R^{\\frac{A+1}{m}}l^{\\frac{m-1}{m}(A+1)}<\/span><\/section>
\u00a0 \u00a0 \u00a0 \u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u5b83\u662f\u5b88\u6052\u91cf\uff0c\u8bb0\u4f5cE<\/span>\uff0c\u5219\u6709 \\frac{1}{2M}\\left(P_R^2+\\frac{P_\\Theta^2}{R^2}\\right)-\\frac{El^\\frac{2(m-1)}{m}}{m^2R^\\frac{2(m-1)}{m}}=-\\frac{k_1^\\prime}{m^2}R^\\frac{A+1-2(m-1)}{m}l^{\\frac{m-1}{m}(A+3)}<\/span><\/section>
\u00a0 \u00a0 \u00a0 \u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u8981\u60f3\u8ba9\u5b83\u548cB\u7cfb\u7edf\u7684\u54c8\u5bc6\u987f\u91cf\uff08\u5b88\u6052\uff0c\u8bb0\u4f5cE^\\prime<\/span>\uff09\u53d6\u540c\u6837\u7684\u5f62\u5f0f H^B(r,\\theta,p_r,p_\\theta)=\\frac{1}{2M}\\left(p_r^2+\\frac{p_\\theta^2}{r^2}\\right)+k_2^\\prime r^{B+1}=E^\\prime<\/span><\/section>
\u00a0 \u00a0 \u00a0 \u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u6211\u4eec\u53ea\u9700\u8981\u8ba9\u5404\u9879\u5bf9\u5e94\uff1a \\frac{A+1-2(m-1)}{m}=0<\/span>\uff0c-\\frac{2(m-1)}{m}=B+1<\/span><\/section>
\u00a0 \u00a0 \u00a0 \u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u6700\u540e\u5bfc\u51fa m=\\frac{A+3}{2}<\/span>\uff0cB=-\\frac{3A+5}{A+3}<\/span> \u4e5f\u53ef\u4ee5\u5f97\u5230\u6b63\u786e\u7ed3\u679c\u3002\u7b14\u8005\u770b\u5230\u90e8\u5206\u540c\u5b66\u4f7f\u7528\u7684\u5c31\u662f\u8fd9\u4e2a\u65b9\u6cd5\uff08\u5f53\u7136\uff0c\u5728\u6b63\u5f0f\u8003\u8bd5\u4e2d\u6700\u597d\u614e\u7528\u8d85\u7eb2\u65b9\u6cd5\uff09\u3002<\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>
\u00a0 \u00a0 \u00a0 \u00a0 \u6700\u540e\uff0c\u5982\u679c\u540c\u5b66\u4eec\u5bf9\u91cf\u5b50\u529b\u5b66\u6709\u6240\u6d89\u730e\uff0c\u540c\u6837\u53ef\u4ee5\u4ece\u91cf\u5b50\u529b\u5b66\u89d2\u5ea6\u51fa\u53d1\u8003\u8651\u8fd9\u4e2a\u5bf9\u5076\u5173\u7cfb\u3002\u540c\u5b66\u4eec\u53ef\u4ee5\u53c2\u8003\u7f51\u7ad9[7]\u3001\u7f51\u7ad9[8]\u3001\u53c2\u8003\u6587\u732e[9]\u548c\u53c2\u8003\u4e66\u7c4d[10]\u3002\u8fd9\u4e9b\u4ec5\u4f9b\u6709\u5174\u8da3\u7684\u540c\u5b66\u53c2\u8003\uff0c\u5bf9\u5907\u8003\u7684\u5e2e\u52a9\u5e76\u4e0d\u5927\uff0c\u5982\u679c\u6ca1\u6709\u5b66\u8fc7\u6216\u4e0d\u611f\u5174\u8da3\u4e5f\u5b8c\u5168\u65e0\u9700\u7126\u8651\u3002<\/section>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/section>

[5] \u521d\u7248\u8bd5\u5377\u91cc\u8fb9\u4e0d\u5c0f\u5fc3\u628a\u53d7\u529b\u5199\u6210\u4e86f(r)=-\\frac{k}{r}<\/span>\uff01\u5982\u679c\u6b63\u5f0f\u8003\u8bd5\u4e2d\u56e0\u5ba1\u5377\u4e0d\u4e25\u51fa\u73b0\u8fd9\u6837\u7684\u95ee\u9898\uff0c\u4e00\u5b9a\u8981\u6ce8\u610f\u6839\u636e\u5176\u4f59\u7684\u4fe1\u606f\u5224\u65ad\u8fd9\u91cc\u662f\u5426\u51fa\u73b0\u5931\u8bef\u2014\u2014\u5018\u82e5\u771f\u7684\u662ff(r)=-\\frac{k}{r}<\/span>\u5f62\u5f0f\u7684\u529b\uff0c\u5c31\u4e0d\u53ef\u80fd\u51fa\u73b0z(\\theta)<\/span>\u8fd9\u79cd\u5f62\u5f0f\u7684\u692d\u5706\u8f68\u9053\u3002\u867d\u7136\u8fd9\u6b21\u662f\u6211\u4eec\u7684\u7b14\u8bef\uff0c\u4f46\u8003\u751f\u4e5f\u53ef\u4ee5\u501f\u673a\u5b66\u4e60\u7a81\u53d1\u60c5\u51b5\u7684\u5904\u7f6e\u65b9\u5f0f\u3002<\/p>

[6]\u00a0\u5f53\u7136\uff0c\u7b14\u8005\u4e2a\u4eba\u8ba4\u4e3a\u6b63\u5f0f\u8003\u8bd5\u4e2d\u4e0d\u4f1a\u5927\u9762\u79ef\u51fa\u73b0\u8fd9\u79cd\u5206\u6790\u5473\u592a\u91cd\u7684\u7b26\u53f7\u8fd0\u7b97\u3002<\/p>

[7]\u00a0https:\/\/zhuanlan.zhihu.com\/p\/563486088<\/p>

[8]\u00a0https:\/\/zhuanlan.zhihu.com\/p\/342397329<\/p>

[9]\u00a0https:\/\/arxiv.org\/pdf\/1909.11659.pdf<\/p>

[10]\u00a0V. Arnold, K. Vogtmann, and A. Weinstein,\u00a0Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics. Springer New York, 2013.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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