[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/19427#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/19427","headline":"\u6f5c\u5728\u7684\uff08\u7269\u7406\u5b66\uff09 &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u6f5c\u5728\u7684\uff08\u7269\u7406\u5b66\uff09 &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u6f5c\u5728\u7684 \u307e\u305f \u6f5c\u5728\u7684 \uff08\u5e74\u3002 \u529b \u3001\u300c\u30d1\u30ef\u30fc\u3001\u5f37\u3055\u3001\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u300d\uff09\u7269\u7406\u5b66\u306b\u304a\u3044\u3066\u3001\u4fdd\u5b88\u7684\u306a\u96fb\u529b\u5206\u91ce\u304c\u4ed5\u4e8b\u3092\u3059\u308b\u80fd\u529b\u3002\u305d\u308c\u306f\u3001\u305d\u306e\u30b5\u30a4\u30ba\u3068\u6a19\u8b58\u306b\u95a2\u4fc2\u306a\u304f\u3001\u5927\u8846\u307e\u305f\u306f\u96fb\u8377\u306b\u5bfe\u3059\u308b\u4fdd\u5b88\u7684\u306a\u5206\u91ce\u306e\u52b9\u679c\u3092\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u5f53\u521d\u3001\u8a66\u9a13\u7247\u306e\u9061\u53ca\u52b9\u679c\u3092\u9664\u5916\u3057\u307e\u3059\u304c\u3001\u500b\u5225\u306b\u8003\u616e\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u30d5\u30a9\u30fc\u30df\u30e5\u30e9\u30b5\u30a4\u30f3\u3068\u3057\u3066\u3001\u305d\u308c\u306f\u901a\u5e38 \u30d5\u30a1\u30a4 {displaystylephi} after-content-x4 \u3001\u5049\u5927\u306a\u30ae\u30ea\u30b7\u30e3\u6587\u5b57Phi\u3001\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u6570\u5b66\u3067\u306f\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3068\u3044\u3046\u7528\u8a9e\u306f\u3001\uff08\u30b9\u30ab\u30e9\u30fc\u307e\u305f\u306f\u30d9\u30af\u30c8\u30eb\u306e\uff09\u30d5\u30a3\u30fc\u30eb\u30c9\u3001\u3064\u307e\u308a\u5c40\u6240\u6a5f\u80fd\u5168\u4f53\u306e\u307f\u3092\u8a18\u8ff0\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u7269\u7406\u6280\u8853\u7684\u306a\u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u3067\u306f\u3001\u95a2\u9023\u3059\u308b\u8eab\u4f53\u306e\u96fb\u6c17\u7684\u307e\u305f\u306f\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306a\u3069\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u305d\u306e\u500b\u3005\u306e\u6a5f\u80fd\u5024\u306e\u4e21\u65b9\u3092\u6307\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u7269\u7406\u7684\u306a\u300c\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u300d\u304c\u4e3b\u306b\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u3057\u3066\u8b70\u8ad6\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u591a\u304f\u306e\u6559\u79d1\u66f8\u3067\u306f\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u300c\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u300d\u3068\u3082\u547c\u3070\u308c\u307e\u3059 [\u521d\u3081] \u304a\u3088\u3073\u5f0f\u30b5\u30a4\u30f3 after-content-x4 \u306e {displaystyle v} \u9078\u629e\u3055\u308c\u305f\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3002","datePublished":"2023-06-06","dateModified":"2023-06-06","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/aed80a2011a3912b028ba32a52dfa57165455f24","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/aed80a2011a3912b028ba32a52dfa57165455f24","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/19427","wordCount":17038,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u6f5c\u5728\u7684 \u307e\u305f \u6f5c\u5728\u7684 \uff08\u5e74\u3002 \u529b \u3001\u300c\u30d1\u30ef\u30fc\u3001\u5f37\u3055\u3001\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u300d\uff09\u7269\u7406\u5b66\u306b\u304a\u3044\u3066\u3001\u4fdd\u5b88\u7684\u306a\u96fb\u529b\u5206\u91ce\u304c\u4ed5\u4e8b\u3092\u3059\u308b\u80fd\u529b\u3002\u305d\u308c\u306f\u3001\u305d\u306e\u30b5\u30a4\u30ba\u3068\u6a19\u8b58\u306b\u95a2\u4fc2\u306a\u304f\u3001\u5927\u8846\u307e\u305f\u306f\u96fb\u8377\u306b\u5bfe\u3059\u308b\u4fdd\u5b88\u7684\u306a\u5206\u91ce\u306e\u52b9\u679c\u3092\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u5f53\u521d\u3001\u8a66\u9a13\u7247\u306e\u9061\u53ca\u52b9\u679c\u3092\u9664\u5916\u3057\u307e\u3059\u304c\u3001\u500b\u5225\u306b\u8003\u616e\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u30d5\u30a9\u30fc\u30df\u30e5\u30e9\u30b5\u30a4\u30f3\u3068\u3057\u3066\u3001\u305d\u308c\u306f\u901a\u5e38 \u30d5\u30a1\u30a4 {displaystylephi}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3001\u5049\u5927\u306a\u30ae\u30ea\u30b7\u30e3\u6587\u5b57Phi\u3001\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u6570\u5b66\u3067\u306f\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3068\u3044\u3046\u7528\u8a9e\u306f\u3001\uff08\u30b9\u30ab\u30e9\u30fc\u307e\u305f\u306f\u30d9\u30af\u30c8\u30eb\u306e\uff09\u30d5\u30a3\u30fc\u30eb\u30c9\u3001\u3064\u307e\u308a\u5c40\u6240\u6a5f\u80fd\u5168\u4f53\u306e\u307f\u3092\u8a18\u8ff0\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u7269\u7406\u6280\u8853\u7684\u306a\u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u3067\u306f\u3001\u95a2\u9023\u3059\u308b\u8eab\u4f53\u306e\u96fb\u6c17\u7684\u307e\u305f\u306f\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306a\u3069\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u305d\u306e\u500b\u3005\u306e\u6a5f\u80fd\u5024\u306e\u4e21\u65b9\u3092\u6307\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u7269\u7406\u7684\u306a\u300c\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u300d\u304c\u4e3b\u306b\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u3057\u3066\u8b70\u8ad6\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u591a\u304f\u306e\u6559\u79d1\u66f8\u3067\u306f\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u300c\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u300d\u3068\u3082\u547c\u3070\u308c\u307e\u3059 [\u521d\u3081] \u304a\u3088\u3073\u5f0f\u30b5\u30a4\u30f3        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u306e {displaystyle v} \u9078\u629e\u3055\u308c\u305f\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3002 \uff08\u5b9f\u969b\u306e\u610f\u5473\u3067\uff09\u53ef\u80fd\u6027\u306f\u3001\u30ab\u30c3\u30d7\u30ea\u30f3\u30b0\u5b9a\u6570\u3042\u305f\u308a\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3067\u3059\u3002 B.\u96fb\u8377\u307e\u305f\u306f\u8cea\u91cf\u3002 [2] \u30cb\u30e5\u30fc\u30c8\u30f3\u306b\u3088\u308b\u3068\u3001\u529b\u306b\u9069\u7528\u3055\u308c\u307e\u3059 f {displaystyle f} \u6cd5\u5f8b        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4f = m a {displaystyle f = ma} \u3001 \u3057\u305f\u304c\u3063\u3066 m {displaystyle m} \u8cea\u91cf\u3068 a {displaystyle a} \u52a0\u901f\u306f\u3001\u3053\u306e\u8cea\u91cf\u304c\u7d4c\u9a13\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u306f\u5358\u4e00\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3067\u884c\u4f7f\u3055\u308c\u308b\u529b\u3067\u3059\u3002 \u305f\u3060\u3057\u3001\u90e8\u5c4b\u306e\u3069\u3053\u304b\u306b\u3042\u308b\u52a0\u901f\uff08\u4e0b\u65b9\uff09\u3068\u8cea\u91cf\u306f\u3001\u91cd\u529b\u306e\u5834\u5408\u306f\u5e38\u306b\u52a0\u901f\u3067\u3059\u3002 \u5358\u4e00\u306e\u5834\u6240\u306b\u3042\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u90e8\u5c4b\u306b\u5206\u5e03\u3057\u3066\u3044\u308b\u7a2e\u306e\u30b5\u30a4\u30ba\u306f\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u547c\u3070\u308c\u3001\u554f\u984c\u306e\u5909\u6570\u304c\u6307\u793a\u3055\u308c\u3066\u3044\u308b\u304b\u30a2\u30af\u30bb\u30b9\u3067\u304d\u306a\u3044\u304b\u306b\u3088\u3063\u3066\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u306f\u518d\u3073\u30d9\u30af\u30c8\u30eb\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u30b9\u30ab\u30e9\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\u306b\u533a\u5225\u3055\u308c\u307e\u3059\u3002 \u8cea\u91cf\u3001\u8377\u91cd\u3001\u5bc6\u5ea6\u3001\u6e29\u5ea6\u306e\u3088\u3046\u306b\u65b9\u5411\u6027\u304c\u306a\u304f\u3001\u5358\u4e00\u306e\u6570\u5b57\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5b8c\u5168\u306b\u8aac\u660e\u3067\u304d\u308b\u30b5\u30a4\u30ba\u3082\u30b9\u30ab\u30e9\u30fc\u3068\u547c\u3070\u308c\u3001\u90e8\u5c4b\u306e\u5834\u6240\u3092\u305d\u306e\u3088\u3046\u306a\u5947\u5999\u306a\u30b5\u30a4\u30ba\u306b\u5272\u308a\u5f53\u3066\u308b\u3059\u3079\u3066\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u306f\u3001\u305d\u308c\u306b\u5fdc\u3058\u3066\u30b9\u30ab\u30e9\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u3057\u3066\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5730\u7403\u306e\u8868\u9762\u306e\u3059\u3079\u3066\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u6d77\u629c\u306e\u9ad8\u3055\u3092\u5272\u308a\u5f53\u3066\u3066\u3001\u3057\u305f\u304c\u3063\u3066\u30b9\u30ab\u30e9\u30fc\u306e\u9ad8\u3044\u30d5\u30a3\u30fc\u30eb\u30c9\u3092\u53d6\u5f97\u3059\u308b\u304b\u3001z\u3092\u914d\u7f6e\u3067\u304d\u307e\u3059\u3002 B.\u90e8\u5c4b\u306e\u5bc6\u5ea6\u3067\u5bc6\u5ea6\u30d5\u30a3\u30fc\u30eb\u30c9\u3092\u53d7\u3051\u53d6\u308a\u307e\u3059\u3002 \u4e00\u65b9\u3001\u529b\u306f\u30d9\u30af\u30c8\u30eb\u3001\u3064\u307e\u308a\u6307\u5411\u3055\u308c\u305f\u30b5\u30a4\u30ba\u3067\u3042\u308a\u3001\u5404\u30dd\u30a4\u30f3\u30c8\u306b\u30b9\u30ab\u30e9\u30fc\u306e\u4ee3\u308f\u308a\u306b\u305d\u306e\u3088\u3046\u306a\u30d9\u30af\u30c8\u30eb\u3092\u5272\u308a\u5f53\u3066\u308b\u3068\u3001\u30b9\u30b1\u30fc\u30eb\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u4ee3\u308f\u308a\u306b\u30d9\u30af\u30c8\u30eb\u30d5\u30a3\u30fc\u30eb\u30c9\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u91cd\u529b\u306e\u5834\u5408\u3001\u3059\u3079\u3066\u306e\u91cd\u529b\u30d9\u30af\u30c8\u30eb\u306f\u5e38\u306b\u5730\u9762\u306e\u4e2d\u5fc3\u3092\u6307\u3057\u3066\u3044\u307e\u3059\u3002 \u8981\u7d20\u304c\u529b\u3067\u3042\u308b\u30d9\u30af\u30c8\u30eb\u30d5\u30a3\u30fc\u30eb\u30c9\u306f\u30d1\u30ef\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u547c\u3070\u308c\u308b\u305f\u3081\u3001\u4e0a\u8a18\u306e\u65b9\u7a0b\u5f0f\u306f\u30d9\u30af\u30c8\u30eb\u3067\u3082\u8a18\u8ff0\u3067\u304d\u307e\u3059\u3002 F\u2192= m a\u2192{displaystyle {thing {f}} = m {thing {a}}} \u3001 \u3057\u305f\u304c\u3063\u3066 F\u2192{displaystyle {vec {f}}} \u30d5\u30a9\u30fc\u30b9\u30d5\u30a3\u30fc\u30eb\u30c9\u3068 a\u2192{displaystyle {vec {a}}} \u52a0\u901f\u30d5\u30a3\u30fc\u30eb\u30c9\u306f\u3067\u3059\u3002\u901a\u5e38\u3001\u52a0\u901f\u30d5\u30a3\u30fc\u30eb\u30c9\u304c\u4f4d\u7f6e\u306b\u304b\u304b\u3063\u3066\u3044\u307e\u3059 r\u2192{displaystyle {vec {r}}} \u90e8\u5c4b\u3067\u3001\u305d\u308c\u306f\u4e21\u65b9\u3092\u610f\u5473\u3057\u307e\u3059 F\u2192{displaystyle {vec {f}}} \u3068\u3057\u3066\u3082 a\u2192{displaystyle {vec {a}}} \u306e\u95a2\u6570 r\u2192{displaystyle {vec {r}}} \u305d\u3046\u3067\u3059\u306e\u3067\u3001\u3082\u3063\u3068\u6b63\u78ba\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\uff1a F\u2192\uff08 r\u2192\uff09\uff09 = m a\u2192\uff08 r\u2192\uff09\uff09 {displayStyle {thing {f}}\uff08{thing {r}}\uff09= m {thing {a}}\uff08{thing {r}}\uff09}}} \u3002 Table of Contents\u96fb\u6c17\u304a\u3088\u3073\u91cd\u529b\u5834\u306e\u4f8b\u3092\u4f7f\u7528\u3057\u305f\u53ef\u80fd\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e2d\u5fc3\u7684\u306a\u53ef\u80fd\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b5\u30a4\u30f3\u306b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5916\u90e8\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5185\u90e8\u89e3\u6c7a\u7b56 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5b9a\u6570\u306e\u6c7a\u5b9a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e2d\u7a7a\u306e\u30dc\u30fc\u30eb\u306e\u91cd\u529b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u96fb\u6c17\u304a\u3088\u3073\u91cd\u529b\u5834\u306e\u4f8b\u3092\u4f7f\u7528\u3057\u305f\u53ef\u80fd\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u305d\u308c\u304c\u30af\u30fc\u30ed\u30f3\u529b\u3084\u91cd\u529b\u306a\u3069\u306e\u4fdd\u5b88\u7684\u306a\u529b\u3067\u3042\u308b\u5834\u5408\u3001\u30d1\u30ef\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\u306f F\u2192\uff08 r\u2192\uff09\uff09 {displaystyle {thing {f}}\uff08{thing {r}}\uff09} \u307e\u305f\u3001\u30b9\u30ab\u30e9\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u52a9\u3051\u3092\u501f\u308a\u3066 \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displaystyle phi\uff08{vec {r}}\uff09} \u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u304c\u9069\u7528\u3055\u308c\u308b\u8868\u73fe\u304c\u3042\u308a\u307e\u3059\uff08\u96fb\u754c\u306e\u5834\u5408\u3001\u8ca8\u7269\u304c\u5f15\u304d\u7d99\u304e\u307e\u3059 Q {displaystyle q} \u8cea\u91cf\u306e\u5f79\u5272 m {displaystyle m} \u91cd\u529b\u5834\u3067\uff09\uff1a FE\u2192\uff08 r\u2192\uff09\uff09 =  &#8211;  Q \u2207\u2192\u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displayStyle {thing {f_ {e}}}\uff08{thing {r}}\uff09= -q {thing {take}} phi\uff08{thing {r}}\uff09} \u307e\u305f\u3002 FG\u2192\uff08 r\u2192\uff09\uff09 =  &#8211;  m \u2207\u2192\u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displayStyle {guth {f_ {g}}}\uff08{thing {r}}\uff09= -m {thing {take}} phi\uff08{thing {r}}\uff09} \u3002 \u30b9\u30ab\u30e9\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9 \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displaystyle phi\uff08{vec {r}}\uff09} \u305d\u308c\u306f\u3053\u306e\u95a2\u4fc2\u3092\u679c\u305f\u3059\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059 \u6f5c\u5728\u7684 \u30d9\u30af\u30c8\u30eb\u30d5\u30a3\u30fc\u30eb\u30c9\u306e F\u2192\uff08 r\u2192\uff09\uff09 {displaystyle {thing {f}}\uff08{thing {r}}\uff09} \u3002 \u3042\u308b \u2207\u2192{displaystyle {thing {nabla}}} \uff08\u4e3b\u306b\u516c\u6b63\u3067\u3059 \u2207 {displaystyle nabla} \u66f8\u304b\u308c\u305f\uff09NABLA\u30aa\u30da\u30ec\u30fc\u30bf\u30fc \u8868\u73fe \u2207\u2192\u03a6(r\u2192){displaystyle {thing {nabla}} phi\uff08{thing {r}}}} \u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u52fe\u914d\u304c\u5f7c\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5f62\u6210\u3055\u308c\u307e\u3057\u305f \u03a6(r\u2192){displaystyle phi\uff08{vec {r}}\uff09} \u3002 Scaled\u30d5\u30a3\u30fc\u30eb\u30c9\u306bNABLA\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u30d9\u30af\u30c8\u30eb\u30d5\u30a3\u30fc\u30eb\u30c9\u304c\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u90e8\u5c4b\u306e\u5404\u30dd\u30a4\u30f3\u30c8\u3067\u3001\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3055\u308c\u305f\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u5909\u5316\u7387\u304c\u6700\u3082\u6025\u6fc0\u306b\u5897\u52a0\u3059\u308b\u65b9\u5411\u306b\u58f0\u660e\u304c\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u4e0a\u8a18\u306e\u9ad8\u3044\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u5834\u5408\u306e\u3088\u3046\u306b\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306f\u4e18\u9675\u306e\u98a8\u666f\u3068\u3057\u3066\u3088\u304f\u793a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a\u30dd\u30a4\u30f3\u30c8\u306e\u91cf\u306f\u305d\u306e\u6f5c\u5728\u7684\u306a\u5024\u3067\u3042\u308a\u3001\u3053\u306e\u70b9\u3067\u8eab\u4f53\u306b\u5f71\u97ff\u3059\u308b\u529b\u3001\u4e00\u65b9\u3067\u3001\u6700\u3082\u6025\u306a\u96fb\u4f4d\u306e\u65b9\u5411\u306b\u3042\u308b\u30d9\u30af\u30c8\u30eb \u77f3\u70ad \u6700\u3082\u6025\u306a\u53ef\u80fd\u6027\u306e\u65b9\u5411\u306b\u6b63\u78ba\u306b\u53cd\u5bfe\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059 \u767b\u308b \u3002 \u8ca0\u8377\u306e\u529b Q {displaystyle q} \u96fb\u754c\u307e\u305f\u306f\u8cea\u91cf\u306b m {displaystyle m} \u91cd\u529b\u5834\u306b\u3082\u3042\u308a\u307e\u3059 F\u2192E\uff08 r\u2192\uff09\uff09 =  &#8211;  Q \u2207\u2192\u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = Q de E\u2192\uff08 r\u2192\uff09\uff09 \u307e\u305f\u3002 F\u2192G\uff08 r\u2192\uff09\uff09 =  &#8211;  m \u2207\u2192\u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = m de a\u2192\uff08 r\u2192\uff09\uff09 {displayStyle {thing {f}} _ {e}\uff08{thing {r}}\uff09= -q {thing {the sake}} phi\uff08{thing {r}}\uff09= qcdot {thing {e}} {g}\uff08{rthing}}\uff09= -m {nabi} {nabi} {thing {thing}\uff09 = mcdot {thing {a}}\uff08{thing {r}}\uff09}} \u3002 \u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u7279\u306b\u91cd\u8981\u6027\u306f\u3001\u30b9\u30ab\u30e9\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\u3068\u3057\u30661\u3064\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3057\u304b\u306a\u3044\u3053\u3068\u3067\u3059 &#8211; \u591a\u304f\u306e\u8a08\u7b97\u3092\u7c21\u7d20\u5316\u3059\u308b\u529b\u5834\u306e3\u3064\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3068\u6bd4\u8f03\u3057\u3066\u3002\u3055\u3089\u306b\u3001\u305d\u306e\u88fd\u54c1\u306f\u3001\u96fb\u8377\u307e\u305f\u306f\u8cea\u91cf\u3067\u554f\u984c\u306e\u30c6\u30b9\u30c8\u6a19\u672c\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u3059\u3050\u306b\u63d0\u4f9b\u3057\u3001\u305f\u3068\u3048\u3070\u9759\u96fb\u6c17\u3067\u306f\u3001\u65b9\u7a0b\u5f0f\u306f\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u96fb\u4f4d\u306b\u9069\u7528\u3055\u308c\u307e\u3059 \u3068 pot= Q de \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displaystyle e_ {mathrm {pot}} = qcdot phi\uff08{vec {r}}\uff09\u3001} \u3002 \u4e00\u822c\u7684\u306a\u610f\u5473\u3067\u306f\u3001\u4e0a\u8a18\u306e\u65b9\u7a0b\u5f0f\u304b\u3089\u30d9\u30af\u30c8\u30eb\u5834\u3092\u5c0e\u51fa\u3067\u304d\u308b\u4ed6\u306e\u30b9\u30ab\u30e9\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\u3082\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3068\u547c\u3070\u308c\u307e\u3059\u3002 \u4e2d\u5fc3\u7684\u306a\u53ef\u80fd\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] a\u306e\u4e0b \u4e2d\u5fc3\u7684\u306a\u53ef\u80fd\u6027 \u9060\u304f\u304b\u3089\u306e\u307f\u306e\u53ef\u80fd\u6027\u3092\u7406\u89e3\u3057\u3066\u3044\u307e\u3059 | r\u2192| {displaystyle vert {vec {r}} vert} \u30d1\u30ef\u30fc\u30bb\u30f3\u30bf\u30fc\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u3067\u9069\u7528\u3055\u308c\u307e\u3059 | r\u2192\u521d\u3081 | = | r\u21922 | {displaystyle vert {vec {r}} _ {1} vert = vert {vec {r}} _ {2} vert} \u307e\u305f \u306e \uff08 r1\u2192\uff09\uff09 = \u306e \uff08 r2\u2192\uff09\uff09 {displaystyle v\uff08{guth {r_ {1}}}\uff09= v\uff08{gunt {r_ {2}}}}} \u3002\u4e2d\u5fc3\u7684\u306a\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u52d5\u304d\u306f\u3001\u4fdd\u5b88\u7684\u306a\u4e2d\u592e\u90e8\u968a\u306e\u5f71\u97ff\u3092\u53d7\u3051\u307e\u3059\u3002 \u30b5\u30a4\u30f3\u306b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u65b9\u7a0b\u5f0f\u306e\u30de\u30a4\u30ca\u30b9\u7b26\u53f7 F\u2192\uff08 r\u2192\uff09\uff09 =  &#8211;  k \u2207\u2192\u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 \u307e\u305f\u3002 a\u2192\uff08 r\u2192\uff09\uff09 =  &#8211;  km\u2207\u2192\u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displaystyle {thing {f}}\uff08{thing {r}}\uff09= -k\u3001{thing {nabla}} phi\uff08{thing {r}}}\uff09quad {bzw. bla}} phi\uff08{thing {r}}}}}}}}} \u4fdd\u5b88\u7684\u306a\u529b\u304c1\u3064\u306b\u3042\u308b\u3053\u3068\u3092\u8868\u73fe\u3057\u307e\u3059 \u30dd\u30b8\u30c6\u30a3\u30d6 \u5145\u96fb k {displaystyle k} \uff08\u6b63\u306e\u96fb\u8377 Q {displaystyle q} \u307e\u305f\u306f\u8cea\u91cf m {displaystyle m} \uff09 &#8211; \u6700\u5c0f\u306e\u5f37\u5236\u306e\u539f\u7406\u306b\u5f93\u3063\u3066 &#8211; \u5e38\u306b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u6e1b\u3089\u3059\u65b9\u5411\u3001\u3064\u307e\u308a\u52fe\u914d\u306e\u65b9\u5411 \u2207\u2192\u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displaystyle {thing {nabla}} phi\uff08{thing {r}}}} \u307e\u305f\u306f\u6700\u5927\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5897\u52a0\u3002\u6f5c\u5728\u7684\u306a\u5c71\u306e\u9bae\u3084\u304b\u306a\u7d75\u3001\u6df1\u523b\u306a\u52a0\u901f\u3068\u96fb\u754c\u5f37\u5ea6\uff08\u96a3\u63a5\u3059\u308b\u56f3\u3092\u53c2\u7167\uff09\u5e38\u306b\u300c\u4e0b\u308a\u5742\u300d\u3002 \u305f\u3060\u3057\u3001\u96fb\u754c\u306e\u5834\u5408\u3001\u8ca0\u306e\u4e2d\u5fc3\u3068\u30c6\u30b9\u30c8\u306e\u8ca0\u8377\u3082\u8003\u3048\u3089\u308c\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u306b\u3088\u308a\u3001\u72b6\u6cc1\u306f\u518d\u3073\u8907\u96d1\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u8ca0\u306e\u8a66\u884c\u8ca0\u8377\u304c\u767a\u751f\u3057\u305f\u3068\u304d\u306b\u53d6\u5f97\u3057\u307e\u3059  &#8211;  Q {displaystyle -q} \u8ca0\u306e\u4e2d\u592e\u96fb\u8377  &#8211;  Q {displaystyle -q} \u88c1\u5224\u8cbb\u7528\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u30a2\u30d7\u30ed\u30fc\u30c1\u3057\u307e\u3059\u304c  &#8211;  Q {displaystyle -q} \u30d5\u30a3\u30fc\u30eb\u30c9\u30e9\u30a4\u30f3\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u3001\u3064\u307e\u308a\u306e\u65b9\u5411\u306b\u79fb\u52d5\u3057\u307e\u3057\u305f \u843d\u4e0b \u96fb\u4f4d\u3002\u30d1\u30e9\u30c9\u30c3\u30af\u30b9\u306f\u30012\u3064\u306e\u8ca0\u306e\u30b5\u30a4\u30ba\u306e\u7a4d\u304c\u518d\u3073\u6b63\u306e\u30b5\u30a4\u30ba\u306b\u306a\u308b\u3053\u3068\u3092\u8003\u616e\u3059\u308b\u3068\u3059\u3050\u306b\u6eb6\u89e3\u3057\u307e\u3059\u3002\u96a3\u63a5\u3059\u308b\u56f3\u306f\u3001\u96fb\u754c\u306e4\u3064\u306e\u8003\u3048\u3089\u308c\u308b\u5146\u5019\u306e\u661f\u5ea7\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u96fb\u6c17\u306e\u96fb\u4f4d\u3068\u306e\u95a2\u4fc2\u3092\u8981\u7d04\u3057\u3066\u3044\u307e\u3059\u3002\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u5e38\u306b\u4e21\u65b9\u306e\u8ca0\u8377\u306e\u5146\u5019\u306b\u4f9d\u5b58\u3057\u307e\u3059\u304c\u3001\u4e00\u65b9\u3001\u6f5c\u5728\u7684\u306a\u30b3\u30fc\u30b9\u306f\u3001\u4e2d\u592e\u8ca0\u8377\u306e\u5146\u5019\u306e\u307f\u306b\u306e\u307f\u4f9d\u5b58\u3057\u307e\u3059\u3002 \u3053\u308c\u3089\u306e\u65b9\u7a0b\u5f0f\u306e\u5177\u4f53\u7684\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u4f8b\u306f\u3001\u3053\u306e\u63a5\u7d9a\u306e\u542b\u6709\u91cf\u3092\u3084\u3084\u660e\u78ba\u306b\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u5730\u7403\u306e\u5ea7\u6a19\u7cfb\u306e\u6b63\u306e\u65b9\u5411\u306f\u5e38\u306b\u5782\u76f4\u306b\u6307\u3055\u3057\u3001\u4f53\u3092\u3088\u308a\u9ad8\u304f\u3059\u308b\u305f\u3081\u306b\u3001\u3088\u308a\u591a\u304f\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u307e\u305f\u306f\u3088\u308a\u9ad8\u3044\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3092\u4e0e\u3048\u308b\u305f\u3081\u3001\u3053\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306f\u9ad8\u3055\u3067\u3059 h {displaystyle h} \u3067\u5730\u9762\u306b g {displaystyle g} \u5730\u7403\u52a0\u901f\u306e\u91cf\u3068\u3057\u3066\u6982\u7b97 \u30d5\u30a1\u30a4 \uff08 h \uff09\uff09 = g de h {displaystyle phi\uff08h\uff09= gcdot h} \u3002 \u5730\u7403\u306e\u91cd\u3044\u7551\u306e\u6df1\u523b\u306a\u53ef\u80fd\u6027\u3092\u307b\u307c\u540c\u3058\u3088\u3046\u306b\u898b\u308b\u3068 \u4e2d\u5fc3\u7684\u306a\u53ef\u80fd\u6027 \uff08\u4e0a\u8a18\u3092\u53c2\u7167\uff09\u3001\u3064\u307e\u308a\u3001\u5730\u9762\u306e\u4e2d\u5fc3\u307e\u3067\u306e\u8ddd\u96e2\u304b\u3089 r {displaystyle r} \u307e\u305f\u306f\u9ad8\u3055\u304b\u3089 h {displaystyle h} \u306e\u52fe\u914d\u306b\u4f9d\u5b58\u3057\u307e\u3059 \u30d5\u30a1\u30a4 \uff08 h \uff09\uff09 {displaystyle phi\uff08h\uff09} \u5fae\u5206\u6307\u6570 d \u30d5\u30a1\u30a4 \uff08 h \uff09\uff09 \/ d h {displaystyle mypr {d} phi\uff08h\uff09 \/ matrm {d} h} h} \u524a\u6e1b\u3059\u308b\u3068\u3001\u4e0a\u8a18\u306e\u65b9\u7a0b\u5f0f\u306b\u76f8\u5f53\u3059\u308b\u3082\u306e\u3068\u3057\u3066\u95a2\u4fc2\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 a\u2192\uff08 h \uff09\uff09 =  &#8211;  ddh\u30d5\u30a1\u30a4 \uff08 h \uff09\uff09 de e\u2192r=  &#8211;  ddhg de h de e\u2192r= g\u2192{display style {vec {and} (h) = {mihrm {d} ior}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} \u3068 g\u2192=  &#8211;  g e\u2192r{displaystyle {vec {g}} = -g {vec {e}} _ {r}} \u30de\u30a4\u30ca\u30b9\u306e\u5146\u5019\u304b\u3089\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u5ea7\u6a19\u7cfb\u306e\u6b63\u306e\u65b9\u5411\u306e\u6df1\u523b\u306a\u65b9\u5411\u306e\u65b9\u5411\u306f\u307b\u307c\u53cd\u5bfe\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5730\u7403\u306e\u4e2d\u5fc3\u306b\u5411\u304b\u3063\u3066\u4e88\u60f3\u3055\u308c\u308b\u3068\u304a\u308a\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u91cd\u5ea6\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u304b\u3089\u8a08\u7b97\u3055\u308c\u305f\u52a0\u901f\u306f\u3001\u5730\u7403\u52a0\u901f\u3068\u307e\u3063\u305f\u304f\u540c\u3058\u3067\u3059\u3002 \u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc \u3068 \u6f5c\u5728\u7684 \u305d\u306e\u53ef\u80fd\u6027\u304c\u7570\u306a\u308a\u307e\u3059 \u30a8\u30cd\u30eb\u30ae\u30fc \u305f\u3068\u3048\u3070\u3001\u91cd\u529b\u5834\u306e\u8cea\u91cf\u3068\u96fb\u754c\u306e\u8ca0\u8377\u3092\u6307\u3057\u3001\u3053\u306e\u8cea\u91cf\u307e\u305f\u306f\u8ca0\u8377\u306e\u30b5\u30a4\u30ba\u306b\u4f9d\u5b58\u3057\u307e\u3059\u304c\u3001\u305d\u308c\u306f \u6f5c\u5728\u7684 \u8a66\u9a13\u7247\u306e\u8cea\u91cf\u307e\u305f\u306f\u8ca0\u8377\u30b5\u30a4\u30ba\u306b\u95a2\u4fc2\u306a\u304f\u3001\u96fb\u529b\u5834\u306e\u7279\u6027\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002  \u6f5c\u5728\u7684 \u305d\u306e\u4e00\u3064\u3067\u3059 \u30d1\u30ef\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9 \u540c\u7b49\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u8868\u73fe\u3002 \u4e0a\u8a18\u306e\u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u306b\u3088\u308a\u30013\u6b21\u5143\u306e\u4fdd\u5b88\u7684\u306a\u96fb\u529b\u5834\u306f\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u306b\u95a2\u3059\u308b\u60c5\u5831\u3092\u5931\u3046\u3053\u3068\u306a\u304f\u3001\u30b9\u30ab\u30e9\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u30d5\u30a3\u30fc\u30eb\u30c9\u3092\u63d0\u793a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u591a\u304f\u306e\u6cd5\u6848\u306e\u7c21\u7d20\u5316\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u3092\u5f15\u304d\u8d77\u3053\u3059\u8eab\u4f53\u306e\u7d50\u8ad6\u306f\u3082\u306f\u3084\u660e\u78ba\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305f\u3068\u3048\u3070\u3001\u5747\u4e00\u306a\u30d5\u30eb\u30dc\u30fc\u30eb\u306e\u5916\u90e8\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306f\u3001\u30dd\u30a4\u30f3\u30c8\u8cea\u91cf\u306e\u53ef\u80fd\u6027\u3068\u540c\u7b49\u3067\u3059\u3002 2\u3064\u306e\u30b5\u30a4\u30ba\u306f\u3001\u4f5c\u696d\u306e\u6982\u5ff5\u306b\u63a5\u7d9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002  \u30a8\u30cd\u30eb\u30ae\u30fc \u7269\u7406\u7684\u306a\u89b3\u70b9\u304b\u3089\u3001\u8eab\u4f53\u304c\u4ed5\u4e8b\u3092\u3059\u308b\u80fd\u529b\u306f\u4ed5\u4e8b\u3092\u3059\u308b\u3053\u3068\u3067\u3059\u3002  \u6f5c\u5728\u7684 \u30d5\u30a3\u30fc\u30eb\u30c9\u304c\u4f53\u3092\u5b8c\u6210\u3055\u305b\u308b\u80fd\u529b\u3092\u8aac\u660e\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 \u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u9593\u306e\u63a5\u7d9a \u306e \uff08 r\u2192\uff09\uff09 {displaystyle in\uff08{thing {r}}\uff09} \u305d\u3057\u3066\u53ef\u80fd\u6027 \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displaystyle phi\uff08{vec {r}}\uff09} \u30b1\u30fc\u30b9\u3067\u3059 \u306e \uff08 r\u2192\uff09\uff09 = Q de \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 \u307e\u305f\u3002 \u306e \uff08 r\u2192\uff09\uff09 = m de \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displaystyle v\uff08{thing {r}}\uff09= qcdot phi\uff08{thing {r}}\uff09quad {text {bzw.}}} quad v\uff08{r}}} \u3002 \u6700\u521d\u306e\u5f0f\u306f\u96fb\u754c\u3092\u6307\u3057\u307e\u3059\uff08\u5145\u96fb Q {displaystyle q} \uff09\u3001\u91cd\u529b\u5834\u306e2\u756a\u76ee\uff08\u8cea\u91cf m {displaystyle m} \uff09\u3002 2\u3064\u4ee5\u4e0a\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u7570\u306a\u308b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u304c\u3042\u308b\u5834\u5408\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u9055\u3044\u307e\u305f\u306f\u96fb\u4f4d\u5dee\u306b\u3064\u3044\u3066\u8a71\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6f5c\u5728\u7684\u306a\u9055\u3044\u306f\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u5f37\u5ea6\u306e\u4f53\u306b\u4f9d\u5b58\u3057\u306a\u3044\u5c3a\u5ea6\u3067\u3042\u308a\u3001\u305d\u306e\u4e2d\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u4f5c\u696d\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u7b49\u7b49\u9818\u57df\uff08\u540c\u3058\u96fb\u4f4d\u306e\u8868\u9762\uff09\u306b\u6cbf\u3063\u3066\u6f5c\u5728\u7684\u306a\u9055\u3044\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\uff08\u30dc\u30c7\u30a3\u3001\u8ca0\u8377\uff09\u306f\u3001\u4f5c\u696d\u306a\u3057\u3067\u3053\u308c\u3089\u306b\u6cbf\u3063\u3066\u79fb\u52d5\u3067\u304d\u307e\u3059\u3002\u9759\u96fb\u6c17\u3067\u306f\u3001\u96fb\u4f4d\u5dee\u306f\u30012\u3064\u306e\u5206\u96e2\u3055\u308c\u305f\u8ca0\u8377\u30ad\u30e3\u30ea\u30a2\uff08\u7570\u306a\u308b\u96fb\u4f4d\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\uff09\u9593\u306e\u96fb\u5727\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 \u306e = \u30d5\u30a1\u30a4 \uff08 r\u21921\uff09\uff09  &#8211;  \u30d5\u30a1\u30a4 \uff08 r\u21922\uff09\uff09 {displaystyle u = phi\uff08{vec {r}} _ {1}\uff09 &#8211;  phi\uff08{vec {r}} _ {2}\uff09} \u3002 \u96fb\u4f4d\u3068\u8377\u91cd\u307e\u305f\u306f\u8cea\u91cf\u5bc6\u5ea6\u306e\u63a5\u7d9a\u306f\u3001\u30dd\u30a2\u30bd\u30f3\u65b9\u7a0b\u5f0f\u3092\u4ecb\u3057\u305f\u30af\u30fc\u30ed\u30f3\u3068\u91cd\u529b\u306e\u305f\u3081\u306b\u78ba\u7acb\u3055\u308c\u307e\u3059\u3002\u9759\u96fb\u6c17\u3067\u306f\u305d\u3046\u3067\u3059 d \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 =  &#8211;  \u03c1(r\u2192)\u03b5{displaystyle delta phi\uff08{vec {r}}\uff09=  &#8211;  {frac {rho\uff08{vec {r}}\uff09} {vaaresilon}}}}}}} \u3001 \u4e00\u65b9\u3001\u3042\u306a\u305f\u306f\u53e4\u5178\u7684\u306a\u91cd\u529b\u7406\u8ad6\u3067\u5f62\u5f0f\u3067\u3059 d \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = 4 pi g r \uff08 r\u2192\uff09\uff09 {displaystyle delta phi\uff08{vec {r}}\uff09= 4pi gri\uff08{vec {r}}\uff09} \u6240\u6709\u3002 \u4e0a\u8a18\u3067\u6307\u5b9a\u3055\u308c\u305f\u65b9\u7a0b\u5f0f\u304c\u9759\u96fb\u6c17\u306b\u9069\u7528\u3055\u308c\u308b\u3088\u3046\u306b\u3001 e {displaystyle varepsilon} \u4e00\u5b9a\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u8981\u4ef6\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u4ee3\u308f\u308a\u306b\u6b21\u306e\u5f0f\u3067\u4e88\u60f3\u3055\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 div [ \u03b5\u22c5grad\u00a0\u03a6(r\u2192)] =  &#8211;  r \uff08 r\u2192\uff09\uff09 {displaystyle {text {div}} left [varepsilon cdot {text {grad}} phi\uff08{vec {r}}\uff09\u53f3] = -rho\uff08{vec {r}}}}}} \u30dd\u30a2\u30bd\u30f3\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u306f\u7c21\u5358\u306a\u5834\u5408\u306b\u306f\u6bd4\u8f03\u7684\u8907\u96d1\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u3053\u306b\u306f\u8a73\u7d30\u306a\u4f8b\u3092\u793a\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u3001\u7406\u60f3\u5316\u3055\u308c\u305f\u5929\u4f53\u306f\u5747\u4e00\u306a\u5bc6\u5ea6\u306e\u5b8c\u74a7\u306a\u30dc\u30fc\u30eb\u3068\u8003\u3048\u3066\u3044\u307e\u3059 r {displaystyle rho} \u305d\u3057\u3066\u534a\u5f84 r {displaystyle r} \u3002 \u5916\u90e8\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30dc\u30fc\u30eb\u306e\u5468\u308a\u306e\u5916\u5074\u306e\u9818\u57df\u306f\u305d\u3046\u3067\u3059 R&#8221;>\u3068 r = 0 {displaystyle rho = 0} \u3001\u30dd\u30a2\u30bd\u30f3\u65b9\u7a0b\u5f0f\u304c\u30e9\u30d7\u30e9\u30b9\u65b9\u7a0b\u5f0f\u306b\u30de\u30fc\u30b8\u3055\u308c\u308b\u3088\u3046\u306b d \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = 0 {displaystyle delta phi\uff08{vec {r}}\uff09= 0} \u3002 \u4e0e\u3048\u3089\u308c\u305f\u554f\u984c\u306b\u306f\u30dc\u30fc\u30eb\u306e\u5bfe\u79f0\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u7403\u72b6\u306e\u5ea7\u6a19\u3067\u898b\u308b\u3053\u3068\u3067\u305d\u308c\u3092\u7c21\u7d20\u5316\u3067\u304d\u307e\u3059\u3002\u3042\u306a\u305f\u304c\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u306e\u306f\u3001\u65b9\u7a0b\u5f0f\u3067\u5bfe\u5fdc\u3059\u308b\u30e9\u30d7\u30e9\u30b9\u6f14\u7b97\u5b50\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u306b\u306f\u5f62\u304c\u3042\u308a\u307e\u3059 d \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = 1r2\u2202\u2202r\uff08 r2\u2202\u03a6(r\u2192)\u2202r\uff09\uff09 + 1r2sin\u2061\u03b8\u2202\u2202\u03b8\uff08 sin\u2061\u03b8\u2202\u03a6(r\u2192)\u2202\u03b8\uff09\uff09 + 1r2sin2\u2061\u03b8\u22022\u03a6(r\u2192)\u2202\u03c62= 0 {displaystyle delta phi\uff08{vec {r}}\uff09= {frac {1} {r^{2}}} {frac {partial} {partial r}}\u5de6\uff08r^{2} {frac {frac {vec {r}}} {vec {r}}}} {vec {r}}\uff09 r ^{2} sin theta}} {frac {partial} {partial theta}}\u5de6\uff08sin theta {frac {frac {{vec {r}}} {partial theta}} {right\uff09+{frac {1}} {r ^{2} sin ^{2} sin ^{2} sin ^{2} {2} sin ^{2} sin ^{2} {2} phi\uff08{vec {r}}\uff09} {partial varphi ^{2}} = 0} \u3002 \u660e\u3089\u304b\u306b\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u306f\u89d2\u5ea6\u304b\u3089\u964d\u308a\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093 th \u3001 \u30d5\u30a1\u30a4 {displaystyle theta\u3001varphi} \u30dc\u30fc\u30eb\u304c\u5bfe\u79f0\u7684\u3067\u3042\u308b\u305f\u3081\u3001\u4f9d\u5b58\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u306e\u6d3e\u751f\u7269\u304c\u3042\u308a\u307e\u3059 \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 {displaystyle phi\uff08{vec {r}}\uff09} \u89d2\u5ea6\u5ea7\u6a19\u304c\u6d88\u3048\u3001\u653e\u5c04\u72b6\u90e8\u5206\u306e\u307f\u304c\u6b8b\u3063\u305f\u5f8c\u3002 d \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = 1r2\u2202\u2202r\uff08 r2\u2202\u03a6(r\u2192)\u2202r\uff09\uff09 = 0 {displaystyle delta phi\uff08{vec {r}}\uff09= {frac {1} {r^{2}}} {frac {partial} {partial r}}\u5de6\uff08r^{2} {frac {frac {vec {r}}} {} {} {}}}}}}}}}} \u3001 \u305d\u308c\u306f\u4e8c\u56fd\u9593\u3092\u4e57\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3067\u3059 r 2 {displaystyle r^{2}} \u3055\u3089\u306b\u7c21\u7d20\u5316\u3055\u308c\u307e\u3057\u305f\u3002 R\u304c\u63d0\u4f9b\u3059\u308b\u7d71\u5408 \u222b \u2202\u2202r\uff08 r2\u2202\u03a6(r\u2192)\u2202r\uff09\uff09 d r = \u222b 0 d r {displaystyle int {frac {partial} {partial r}}\u5de6\uff08r^{2} {frac {partial phi\uff08{vec {r}}\uff09} {partial r}} {partial r}} {d} r = int 0\u3001mathrm {d} r} r 2\u2202\u03a6(r\u2192)\u2202r= a {displaystyle r^{2} {frac {partial phi\uff08{vec {r}}\uff09} {partial r}} = alpha} \u3001 \u3057\u305f\u304c\u3063\u3066 a {displaystyle alpha} \u7d71\u5408\u5b9a\u6570\u3067\u3059\u3002 R\u304c\u63d0\u4f9b\u3059\u308b\u3055\u3089\u306a\u308b\u7d71\u5408 \u222b \u2202\u03a6(r\u2192)\u2202rd r = \u222b \u03b1r2d r {displaystyle int {frac {partial phi\uff08{vec {r}}\uff09} {partial r}} mathrm {d} r = int {frac {alpha} {r^{2}}} mathrm {d} r}}} mathrm {d} r}} \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 =  &#8211;  \u03b1r+ b = \u03b1~r+ b {displaystyle phi\uff08{vec {r}}\uff09=  &#8211;  {frac {alpha} {r}}+beta = {frac {tilde {alpha}} {r}}+beta} \u3001 \u3057\u305f\u304c\u3063\u3066 \u03b1~=  &#8211;  a {displaystyle {tilde {alpha}} = -alpha} \u3001\u30de\u30a4\u30ca\u30b9\u30b5\u30a4\u30f3\u304c\u6d88\u3048\u308b\u3088\u3046\u306b b {displaystyle\u30d9\u30fc\u30bf} \u5225\u306e\u7d71\u5408\u5b9a\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 \u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306f\u7121\u9650\u306e\u8ddd\u96e2\u3067\u30bc\u30ed\u306b\u306a\u308b\u306f\u305a\u306a\u306e\u3067\u3001 b = 0 {displaystyle beta = 0} \u306a\u308c\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306e\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u304c\u6700\u521d\u306b\u9069\u7528\u3055\u308c\u307e\u3059 \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = \u03b1~r{displaystyle phi\uff08{vec {r}}\uff09= {frac {tilde {alpha}} {r}}} \u3002 \u305f\u3060\u3057\u3001\u5b9a\u6570\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6700\u521d\u306b\u5185\u90e8\u306e\u89e3\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 \u5185\u90e8\u89e3\u6c7a\u7b56 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30dc\u30fc\u30eb\u306e\u4e2d\u306f\u3067\u3059 r < r {displaystyle r \u3068 r \uff08 r\u2192\uff09\uff09 = r {displaystyle rho\uff08{vec {r}}\uff09= rho} \u3001\u30dd\u30a2\u30bd\u30f3\u65b9\u7a0b\u5f0f\u304c\u9069\u7528\u3055\u308c\u308b\u3088\u3046\u306b d \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = 4 pi g r {displaystyle delta phi\uff08{vec {r}}\uff09= 4pi gri} \u3002 \u2202\u2202r\uff08 r2\u2202\u03a6(r\u2192)\u2202r\uff09\uff09 = 4 pi g r r 2{displaystyle {frac {partial} {partial r}}\u5de6\uff08r^{2} {frac {partial phi\uff08{vec {r}}\uff09} {partial r}} {partial r^{2}}} {partial R}} \u3002 R\u306b\u3088\u308b2\u56de\u306e\u7d71\u5408\u306f\u3001\u4ee5\u524d\u3068\u540c\u3058\u65b9\u6cd5\u3067\u914d\u4fe1\u3055\u308c\u307e\u3059 \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = 23pi g r r 2 &#8211;  Ar+ b {displaystyle phi\uff08{vec {r}}\uff09= {frac {2} {3}} pi gri r^{2}  &#8211;  {frac {a}}}}}+b} \u3001 \u3053\u3053\u3067 a {displaystyle a} \u3068 b {displaystyle b} \u518d\u3073\u7a4d\u5206\u5b9a\u6570\u3067\u3059\u3002\u30dc\u30fc\u30eb\u306e\u4e2d\u5fc3\u306b\u3042\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\uff08 r = 0 {displaystyle r = 0} \uff09\u6709\u9650\u5024 \u30d5\u30a1\u30a4 0 {displaystyle phi _ {0}} \u53d7\u3051\u5165\u308c\u308b\u3079\u304d\u3067\u3059 a = 0 {displaystyle a = 0} \u306a\u308c\u3002\u305d\u308c\u4ee5\u5916\u306e\u5834\u5408\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306f\u7121\u9650\u306b\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002\u3060\u304b\u3089\u79c1\u305f\u3061\u306f\u6301\u3063\u3066\u3044\u307e\u3059 \u30d5\u30a1\u30a4 \uff08 0 \uff09\uff09 = \u30d5\u30a1\u30a4 0= b {displaystyle phi\uff080\uff09= phi _ {0} = b} \u3002 \u3057\u305f\u304c\u3063\u3066 \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = 23pi g r r 2+ \u30d5\u30a1\u30a4 0{displaystyle phi\uff08{vec {r}}\uff09= {frac {2} {3}} pi grho r^{2}+phi _ {0}}} \u3002 \u5b9a\u6570\u306e\u6c7a\u5b9a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6700\u521d\u306b\u533a\u5225\u3057\u307e\u3059 \u30d5\u30a1\u30a4 A\uff08 r\u2192\uff09\uff09 = \u03b1~r{displaystyle phi _ {a}\uff08{vec {r}}\uff09= {frac {tilde {alpha}} {r}}}} \u5916\u90e8\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u7528 \u30d5\u30a1\u30a4 I\uff08 r\u2192\uff09\uff09 = 23pi g r r 2+ \u30d5\u30a1\u30a4 0{displaystyle phi _ {i}\uff08{vec {r}}\uff09= {frac {2} {3}} pi gri r^{2}+phi _ {0}}}}} \u5185\u5074\u306e\u89e3\u6c7a\u7b56\u3002\u30dc\u30fc\u30eb\u306e\u7aef\u3067\u3001\u5185\u5074\u306e\u6f5c\u5728\u6027\u306f\u5916\u90e8\u306b\u6ed1\u3089\u304b\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u6700\u521d\u306e\u6d3e\u751f\u7269\u3092\u610f\u5473\u3057\u307e\u3059 r = r {displaystyle r = r} \u4e00\u81f4\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 d\u03a6A(r\u2192)dr|r=R= d\u03a6I(r\u2192)dr|r=R{displaystyle\u5de6\u3002{frac {mathrm {d} phi _ {a}\uff08{vec {r}}\uff09} {mathrm {d} r}}\u53f3| _ {r = r} =\u5de6\u3002 r}}\u53f3| _ {r = r}}  &#8211;  \u03b1~R2= 43pi g r r = GMR2{displaystyle -{frac {tilde {alpha}} {r^{2}}} = {frac {4} {3}} pi grho r = {gm} {r^{2}}}}}}}} \u3001 \u3053\u3053\u3067\u306f\u3001\u8cea\u91cf\u304c\u4f53\u7a4d\u3068\u5bc6\u5ea6\u306e\u7523\u7269\u3067\u3042\u308a\u3001 m = \u306e r = 43pi r 3r {displaystyle m = vrho = {frac {4} {3}} pi r^{3} rho} \u3002 \u3053\u308c\u306f\u3053\u308c\u306b\u8d77\u56e0\u3057\u307e\u3059 \u03b1~=  &#8211;  g m {displaystyle {tilde {alpha}} = -gm} \u3001 \u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u5916\u90e8\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3 \u30d5\u30a1\u30a4 A\uff08 r\u2192\uff09\uff09 =  &#8211;  GMr{displaystyle phi _ {a}\uff08{vec {r}}\uff09=  &#8211;  {frac {gm} {r}}}}} \u7d50\u679c\u3002\u5185\u7684\u89e3\u306e\u5b9a\u6570\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306b\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u304c\u5b89\u5b9a\u3057\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 r = r {displaystyle r = r} \u3057\u305f\u304c\u3063\u3066\u3001\u540c\u4e00\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001\u9069\u7528\u3055\u308c\u307e\u3059\u3002  \u5747\u8cea\u306a\u30dc\u30fc\u30eb\u306e\u91cd\u529b\u306e\u53ef\u80fd\u6027 \u30d5\u30a1\u30a4 A\uff08 R\u2192\uff09\uff09 = \u30d5\u30a1\u30a4 I\uff08 R\u2192\uff09\uff09 {displaystyle phi _ {a}\uff08{vec {r}}\uff09= phi _ {i}\uff08{vec {r}}\uff09}  &#8211;  GMR= 23pi g r r 2+ \u30d5\u30a1\u30a4 0{displaystyle -{frac {gm} {r}} = {frac {2}}}}} pi gri r^{2}+non -_ {0}}}}} \u3002 \u3057\u305f\u304c\u3063\u3066 \u30d5\u30a1\u30a4 0=  &#8211;  3GM2R{displaystyle phi _ {0} =  &#8211;  {frac {3gm} {2r}}}}} \u3002 \u3053\u308c\u306b\u3088\u308a\u3001\u6700\u7d42\u7684\u306b\u5185\u90e8\u306e\u89e3\u304c\u884c\u308f\u308c\u307e\u3059 \u30d5\u30a1\u30a4 I\uff08 r\u2192\uff09\uff09 = 23pi g r r 2+ \u30d5\u30a1\u30a4 0= GM2R3r 2 &#8211;  3GM2R= GM2R\uff08 r2R2\u22123\uff09\uff09 {displaystyle phi _ {i}\uff08{vec {r}}\uff09= {frac {2} {3}} pi grho r^{2}+phi _ {0} = {frac {gm} {2r^{3}}}} {2} {2} {2} {2} {3g} {3g} {3g} ac {gm} {2r}}\u5de6\uff08{frac {r^{2}} {r^{2}}}  &#8211;  3right\uff09} \u3001 \u6700\u521d\u306e\u8981\u7d04\u306f\u3001\u30dc\u30ea\u30e5\u30fc\u30e0\u3092\u4ecb\u3057\u3066\u66f8\u304d\u76f4\u3055\u308c\u307e\u3057\u305f\u3002 \u5185\u5074\u306e\u6eb6\u6db2\u306f\u3001\u8abf\u548c\u306e\u3068\u308c\u305f\u767a\u632f\u5668\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5747\u8cea\u306a\u5929\u4f53\uff08\u6708\u307e\u305f\u306f\u5c0f\u3055\u306a\u60d1\u661f\uff09\u306b\u7a74\u3092\u958b\u3051\u3066\u3001\u4e2d\u5fc3\u3092\u524d\u5f8c\u306b\u63fa\u308c\u308b\uff08\u843d\u3061\u308b\uff09\u7269\u3092\u6301\u3063\u3066\u3044\u305f\u5834\u5408\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u6469\u64e6\u306e\u306a\u3044\u52d5\u304d\u306e\u4eee\u5b9a\u306b\u3088\u308a\u3001\u4f53\u306e\u8eab\u4f53\u6a5f\u80fd\u306f r \uff08 t \uff09\uff09 = r de cos \u2061 \uff08 GMR3\u22c5t\uff09\uff09 \u3002 {displaystyle r\uff08t\uff09= rcdot cos left\uff08{sqrt {frac {gm} {r^{3}}}} cdot tright\uff09\u3002}} \u4e2d\u7a7a\u306e\u30dc\u30fc\u30eb\u306e\u91cd\u529b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e2d\u7a7a\u306e\u30dc\u30fc\u30eb\u306e\u5185\u90e8\u306b\u3042\u308b\u72b6\u6cc1\u304c\u4eca\u3001\u79c1\u305f\u3061\u306e\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u304b\u3089\u76f4\u63a5\u7684\u306b\u306a\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059 r = 0 {displaystyle rho = 0} \u8aad\u307f\u53d6\u308a\u307e\u3059\u3002\u4e00\u822c\u7684\u306b\u79c1\u305f\u3061\u306f\u6301\u3063\u3066\u3044\u307e\u3057\u305f \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = \u03b1~r+ b {displaystyle phi\uff08{vec {r}}\uff09= {frac {tilde {alpha}} {r}}+beta} \u3001 \u79c1\u305f\u3061\u306f\u4eca\u30dc\u30fc\u30eb\u306e\u4e2d\u306b\u3044\u308b\u306e\u3067\u3001\u79c1\u305f\u3061\u306f\u7121\u9650\u306b\u51fa\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001\u4e8b\u524d\u306b\u305d\u308c\u3092\u610f\u5473\u3057\u307e\u3059 b {displaystyle\u30d9\u30fc\u30bf} \u6d88\u3048\u307e\u3057\u305f\u3002\u305f\u3060\u3057\u3001\u7126\u70b9\u306e\u7126\u70b9\u306f\u518d\u3073\u6709\u9650\u306e\u5024\u306b\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u306e\u3067\u3001\u4eca\u56de\u306f \u03b1~= 0 {displaystyle {tilde {alpha}} = 0} \u306a\u308a\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059 \u30d5\u30a1\u30a4 \uff08 r\u2192\uff09\uff09 = b {displaystyle phi\uff08{vec {r}}\uff09= beta} \u3001 \u3068\u3066\u3082\u4e00\u5b9a\u3067\u3059\u3002\u534a\u5f84\u306b\u5fdc\u3058\u305f\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u5c0e\u51fa\u306f\u52a0\u901f\u3092\u3082\u305f\u3089\u3057\u307e\u3059\u304c\u3001\u5b9a\u6570\u306e\u5c0e\u51fa\u306f\u30bc\u30ed\u3067\u3059\u3002\u3042\u306a\u305f\u306f\u91cd\u91cf\u306e\u4e2d\u7a7a\u306e\u30dc\u30fc\u30eb\u306e\u5185\u5074\u306b\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u58c1\u306e\u53cd\u5bfe\u5074\u306e\u7c92\u5b50\u304c\u91cd\u529b\u3092\u30ad\u30e3\u30f3\u30bb\u30eb\u3059\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u306b\u3088\u3063\u3066\u7406\u89e3\u3055\u308c\u308b\u3079\u304d\u3067\u3059\u3002\u305d\u308c\u304c\u5b8c\u74a7\u306a\u30dc\u30fc\u30eb\u3067\u306a\u3051\u308c\u3070\u3001\u3053\u308c\u306f\u4e8b\u5b9f\u3067\u306f\u306a\u304f\u3001\u5c0f\u3055\u306a\u52a0\u901f\u3092\u7d4c\u9a13\u3057\u307e\u3059\u3002 \u2191  Bergmann-Schaefer\uff1a \u5b9f\u9a13\u7269\u7406\u5b66\u306e\u6559\u79d1\u66f8 \u3001\u30d0\u30f3\u30c91\u3001 \u9650\u3089\u308c\u305f\u30d7\u30ec\u30d3\u30e5\u30fc Google Book\u691c\u7d22\u3067\u3002  \u2191  \u30c7\u30d3\u30c3\u30c9\u30fb\u30cf\u30ea\u30c7\u30fc\u3001\u30ed\u30d0\u30fc\u30c8\u30fb\u30ec\u30b9\u30c8\u30cb\u30c3\u30af\uff1a \u7269\u7406\u5b66\u3001\u30d1\u30fc\u30c82 \u3002 Walter the Gruryter\u30011994\u3001ISBN 3-11-013897-2\u3001 S.  869 \uff08 \u9650\u3089\u308c\u305f\u30d7\u30ec\u30d3\u30e5\u30fc Google Book\u691c\u7d22\u3067\uff09\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/19427#breadcrumbitem","name":"\u6f5c\u5728\u7684\uff08\u7269\u7406\u5b66\uff09 &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]