{"id":101545,"date":"2023-12-18T15:28:06","date_gmt":"2023-12-18T15:28:06","guid":{"rendered":"https:\/\/science-hub.click\/%E9%80%A3%E7%B6%9A%E5%8A%9B%E5%AD%A6%E3%81%AE%E5%9F%BA%E6%9C%AC%E6%96%B9%E7%A8%8B%E5%BC%8F-%E5%AE%9A%E7%BE%A9\/"},"modified":"2023-12-18T15:28:06","modified_gmt":"2023-12-18T15:28:06","slug":"%E9%80%A3%E7%B6%9A%E5%8A%9B%E5%AD%A6%E3%81%AE%E5%9F%BA%E6%9C%AC%E6%96%B9%E7%A8%8B%E5%BC%8F-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=101545","title":{"rendered":"\u9023\u7d9a\u529b\u5b66\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f – \u5b9a\u7fa9"},"content":{"rendered":"

\u5c0e\u5165<\/h2>

\u9023\u7d9a\u529b\u5b66\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u306f\u3001<\/b>\u9023\u7d9a\u529b\u5b66\u306e\u6587\u8108\u3067\u6700\u3082\u4e00\u822c\u7684\u306b\u4f7f\u7528\u3055\u308c\u308b\u6570\u5b66\u7684\u8a18\u8ff0\u3092\u307e\u3068\u3081\u305f\u3082\u306e\u3067\u3001\u4e3b\u306b\u56fa\u4f53\u306e\u5909\u5f62\u3084\u6d41\u4f53\u529b\u5b66<\/a><\/span>\u306b\u9069\u7528\u3067\u304d\u307e\u3059\u3002<\/p>

\n\"\u9023\u7d9a\u529b\u5b66\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f<\/figure>

\u30b7\u30b9\u30c6\u30e0\u306e\u3044\u304f\u3064\u304b\u306e\u6574\u6570\u7269\u7406\u91cf<\/h2>

\u4e00\u822c\u306b\u3001\u6211\u3005\u306f\u3001\u73fe\u6642\u70b9\u3067\u306f\u7279\u5b9a\u3055\u308c\u3066\u3044\u306a\u3044\u5185\u90e8<\/a><\/span>\u8cea\u91cf<\/a><\/span>\u5206\u5e03\u3001\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u8868\u9762<\/a><\/span>\u306b\u3088\u3063\u3066\u533a\u5207\u3089\u308c\u305f\u4f53\u7a4d<\/a><\/span>B<\/i><\/span>\u5185\u306e\u8cea\u91cf\u5bc6\u5ea6<\/a><\/span>\u03c1<\/span>\u306b\u3088\u3063\u3066\u7279\u5fb4\u4ed8\u3051\u3089\u308c\u308b\u9023\u7d9a\u4f53\u30e2\u30c7\u30eb\u306e\u89b3\u70b9\u304b\u3089\u3001\u5730\u7403<\/a><\/span>\u306e\u5909\u5f62\u3068\u529b\u5b66<\/a><\/span>\u3092\u7814\u7a76\u3057\u307e\u3059\u3002

$$ {\\partial B} $$<\/div> \u3002\u79c1\u305f\u3061\u306b\u95a2\u308f\u308b\u554f\u984c\u3067\u306f\u3001\u3053\u306e\u5883\u754c\u7dda\u306f
$$ {\\partial B} $$<\/div>\u306f\u5148\u9a13\u7684<\/i>\u306b\u4e0e\u3048\u3089\u308c\u308b\u3082\u306e\u3067\u306f\u306a\u304f\u3001\u5909\u5f62\u53ef\u80fd\u306a\u7269\u4f53\u306e\u5e73\u8861\u5f62\u614b\u306b\u5bfe\u5fdc\u3059\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3055\u3089\u306b\u3001\u73fe\u6642\u70b9\u3067\u306f\u3001\u9078\u629e\u3055\u308c\u3066\u3044\u308b\u304c\u307e\u3060\u6307\u5b9a\u3055\u308c\u3066\u3044\u306a\u3044\u57fa\u6e96\u7cfb\u306b\u95a2\u3057\u3066\u901f\u5ea6<\/a><\/span>\u5834<\/a><\/span>v<\/i> i<\/i><\/sub><\/span>\u3068\u3001\u5185\u90e8\u89d2<\/span>\u904b\u52d5\u91cf\u5bc6\u5ea6\u304c\u5b58\u5728\u3059\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002
$$ {\\ell_i} $$<\/div> \u3001\u4f53\u7a4d\u529bf<\/i> i<\/i><\/sub><\/span> \u3001\u5fdc\u529b\u5834 (\u307e\u305f\u306f\u5f35\u529b\u5834<\/i>) Ti<\/i> j<\/i> \u3001<\/i><\/sub><\/span>\u529b\u306e\u4f53\u7a4d\u30e2\u30fc\u30e1\u30f3\u30c8Mi<\/i> i<\/i><\/sub><\/span>\u304a\u3088\u3073\u8868\u9762\u529b\u30e2\u30fc\u30e1\u30f3\u30c8Mi<\/i> j<\/i>\u3067\u3059<\/i><\/sub><\/span>\u3002\u3053\u308c\u3089\u306e\u91cf\u306f\u3059\u3079\u3066\u3001\u6642\u9593<\/a><\/span>t<\/i><\/span>\u306e\u967d\u7684\u307e\u305f\u306f\u9670\u7684\u306a\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002\u7279\u306b<\/a><\/span>\u6307\u5b9a\u306e<\/a><\/span>\u306a\u3044\u9650\u308a\u3001\u539f\u70b9 (0, 0, 0) \u304c\u70b9<\/a><\/span>O \u306b\u3042\u308b\u30c7\u30ab\u30eb\u30c8\u53c2\u7167\u7cfb\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u7a7a\u9593\u5ea7\u6a19\u3092x<\/i> i<\/i><\/sub><\/span>\u3068\u9023\u7d9a\u3059\u308b\u7a7a\u9593\u5c0e\u95a2\u6570\u3067\u8868\u3057\u307e\u3059\u3002
$$ {\\frac{\\partial}{\\partial x_i}} $$<\/div> \u3001
$$ {\\frac{\\partial^2}{\\partial x_i \\partial x_j}} $$<\/div> \u3001 … \u306b\u3088\u308b
$$ {\\partial_i} $$<\/div> \u3001
$$ {\\partial_i \\partial_j} $$<\/div> , … ( i<\/i> \u3001 j<\/i> = 1,2,3<\/span>\u306e\u5834\u5408)\u3002\u901a\u5e38\u3001\u3053\u3053\u3067\u306f\u30d9\u30af\u30c8\u30eb\u3068\u30c6\u30f3\u30bd\u30eb\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u8868\u8a18\u3068\u3001\u7e70\u308a\u8fd4\u3055\u308c\u308b\u30b5\u30a4\u30ec\u30f3\u30c8\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306b\u95a2\u3059\u308b\u30a2\u30a4\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u306e\u7dcf\u548c\u898f\u5247\u3092\u63a1\u7528\u3057\u307e\u3059\u3002<\/p>

\u30e2\u30c7\u30eb\u306e\u7dcf\u8cea\u91cf\u306f\u3001 <\/p>

$$ {M = \\int_B \\rho\\,\\mathrm d\\tau} $$<\/div><\/center>

\u3053\u3053\u3067\u3001 d\u03c4 = d x<\/i> 1<\/sub> d x<\/i> 2<\/sub> d x<\/i> 3<\/sub><\/span>\u306f\u4f53\u7a4d\u8981\u7d20\u3067\u3059\u3002<\/p>

\u7dcf\u885d\u52d5<\/a><\/span>\u306f\u3001 <\/p>

$$ {P_i = \\int_B \\rho v_i\\,\\mathrm d\\tau} $$<\/div><\/center>

\u305d\u3057\u3066\u7dcf\u89d2<\/a><\/span>\u904b\u52d5\u91cf\u306f<\/p>

$$ {L_i = \\int_B \\left(\\varepsilon_{ijk} x_j \\rho v_k + \\ell_i \\right) \\mathrm d\\tau} $$<\/div><\/center>

\u307e\u305f\u306f

$$ {\\varepsilon_{ijk}} $$<\/div> Levi-Civita\u306e\u30b7\u30f3\u30dc\u30eb\u3067\u3059\u3002<\/p>

\u7269\u4f53\u306e\u4f53\u7a4dB<\/i><\/span>\u306b\u52a0\u3048\u3089\u308c\u308b\u529b\u306e\u5408\u529b\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ {F_i = \\int_B f_i. \\mathrm d\\tau + \\int_{\\partial B}n_j T_{ij}. \\mathrm d\\sigma} $$<\/div><\/center>

\u3053\u3053\u3067\u3001 d\u03c3 \u306f<\/span>\u8868\u9762\u306e\u8981\u7d20\u3067\u3059

$$ {\\partial B} $$<\/div> (<\/sub> n1<\/i> ,<\/sub> n2<\/i> ,<\/sub> n3<\/i> )<\/span>\u306f\u8868\u9762\u306b\u5782\u76f4\u306a\u5358\u4f4d\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u3092\u793a\u3057\u307e\u3059
$$ {\\partial B} $$<\/div>\u305d\u3057\u3066B<\/i><\/span>\u5dfb\u306e\u3053\u3068\u3092\u6307\u6458\u3057\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u7269\u4f53B<\/i><\/span>\u306b\u52a0\u3048\u3089\u308c\u308b\u529b\u306e\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u6b21\u306e<\/a><\/span>\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>
$$ {M_i = \\int_B \\left(\\varepsilon_{ijk} x_j f_k + m_i \\right). \\mathrm d\\tau + \\int_{\\partial B} \\left(\\varepsilon_{ijk} x_j n_q T_{kq} + n_q M_{iq} \\right). \\mathrm d\\sigma} $$<\/div> \u3002<\/center>

\u3053\u308c\u3089\u306e\u516c\u5f0f\u306f\u3042\u3089\u3086\u308b\u72b6\u6cc1\u3067\u6709\u52b9\u3067\u3059\u3002\u3055\u3089\u306b\u5883\u754c\u9762\u3092\u8a8d\u3081\u308b\u3068\u3001

$$ {\\partial B} $$<\/div> B<\/i><\/span>\u306e \u306f\u898f\u5247\u7684<\/i>\u3067\u3042\u308a\u3001\u8868\u9762\u5f35\u529b\u306e\u5834\u3068\u529b\u306e\u30e2\u30fc\u30e1\u30f3\u30c8\u306fB<\/i><\/span>\u3067\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308b\u305f\u3081\u3001\u30ac\u30a6\u30b9\u306e\u767a\u6563\u5b9a\u7406<\/span>\u3092\u9069\u7528\u3057\u3066\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>
$$ {F_i = \\int_B \\left(f_i + \\partial_j T_{ij} \\right). \\mathrm d\\tau } $$<\/div>
$$ { M_i = \\int_B \\left(\\varepsilon_{ijk} x_j f_k + m_i + \\partial_q \\left(\\varepsilon_{ijk} x_j T_{kq} + M_{iq} \\right) \\right). \\mathrm d\\tau} $$<\/div> \u3002<\/center>
\n\"\u9023\u7d9a\u529b\u5b66\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f<\/figure>

\u5730\u7403\u306e\u5909\u5f62\u3092\u8aac\u660e\u3059\u308b\u305f\u3081\u306e\u4eee\u8aac\u3068\u6cd5\u5247<\/h2>

\u7406\u8ad6\u7684\u306a\u5730\u7403\u529b\u5b66\u554f\u984c\u3067\u306f\u3001\u4e00\u822c\u306b\u3001\u5358\u4f4d\u4f53\u7a4df<\/i> i<\/i><\/sub><\/span>\u3042\u305f\u308a\u306e\u5916\u529b\u306e\u5408\u529b\u306f\u4f53\u7a4d\u91cd\u529b\u3067\u69cb\u6210\u3055\u308c\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002

$$ {f_i^\\text{g}} $$<\/div>\u81ea\u5df1\u91cd\u529b\u304a\u3088\u3073\u5916\u90e8\u7269\u4f53\u306e\u91cd\u529b\u5f15\u529b\u3001\u4f53\u7a4d\u96fb\u78c1\u529b\u306b\u3088\u3063\u3066\u5f15\u304d\u8d77\u3053\u3055\u308c\u308b
$$ {f_i^\\text{em}} $$<\/div> \u3001\u6163\u6027\u4f53\u7a4d\u529b (\u30b3\u30ea\u30aa\u30ea\u3068\u8ef8\u5206\u96e2)
$$ {f_i^\\text{in}} $$<\/div> \u3001\u6f6e\u6c50\u529b
$$ {f_i^\\text{m}} $$<\/div> \u3001\u5916\u90e8\u8377\u91cd\u306b\u3088\u3063\u3066\u751f\u3058\u308b\u4f53\u7a4d\u529b
$$ {f_i^\\text{ch}} $$<\/div> \u3002\u4e00\u65b9\u3001\u8868\u9762\u529bT<\/i> i<\/i><\/sub> ( x<\/i> , t<\/i> , n<\/i> ) \u306f<\/span>\u65b9\u5411<\/a><\/span>n<\/i><\/span>\u306b\u4f9d\u5b58\u3057\u3001\u4e00\u822c\u306b\u30b3\u30fc\u30b7\u30fc\u95a2\u4fc2T<\/i> i<\/i><\/sub> ( x<\/i> , t<\/i> , n<\/i> )<\/span>\u3092\u4ecb\u3057\u3066\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb<\/a><\/span>Ti<\/i> j<\/i> (<\/i><\/sub> x<\/i> , t<\/i> )<\/span>\u306b\u5bc4\u4e0e\u3057\u307e\u3059\u3002 = Ti<\/i> j<\/i> (<\/i><\/sub> x<\/i> , t<\/i> ) n<\/i> j<\/i><\/sub> ( x<\/i> , t<\/i> , n<\/i> ) \u306f\u3001<\/span>\u5f3e\u6027\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb<\/a><\/span>\u3092\u751f\u6210\u3059\u308b\u5f3e\u6027\u529b\u3067\u3059\u3002
$$ {T_{ij}^\\text{el}} $$<\/div> \u3001\u30de\u30af\u30b9\u30a6\u30a7\u30eb \u30c6\u30f3\u30bd\u30eb\u3092\u751f\u6210\u3059\u308b\u96fb\u78c1\u8868\u9762\u529b
$$ {T_{ij}^\\text{em}} $$<\/div> \u3001\u30ec\u30a4\u30ce\u30eb\u30ba \u30c6\u30f3\u30bd\u30eb\u3001\u5f3e\u6027\u5fdc\u529b\u306e\u30c6\u30f3\u30bd\u30eb\u3092\u751f\u6210\u3059\u308b\u7c98\u6027\u529b
$$ {T_{ij}^\\text{v}} $$<\/div> \u3001\u6469\u64e6\u529b\u306e\u30c6\u30f3\u30bd\u30eb\u3068\u5f3e\u6027\u5fdc\u529b\u306e\u30c6\u30f3\u30bd\u30eb\u3092\u751f\u6210\u3059\u308b\u975e\u7c98\u6027\u63a5\u89e6\u6469\u64e6\u529b
$$ {T_{ij}^\\text{f}} $$<\/div> \u3001\u304a\u3088\u3073\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb\u3001\u5f3e\u6027\u5fdc\u529b\u30c6\u30f3\u30bd\u30eb\u3092\u751f\u6210\u3059\u308b\u305d\u306e\u4ed6\u306e\u8868\u9762\u529b
$$ {T_{ij}^\\text{s}} $$<\/div> \u3002<\/p>

\u5358\u4f4d\u8cea\u91cf\u5f53\u305f\u308a\u306e\u91cd\u529b<\/span>g<\/i><\/span>\u306f\u3001\u3088\u308a\u7c21\u5358\u306b\u91cd\u529b\u52a0\u901f\u5ea6<\/i>\u307e\u305f\u306f\u91cd\u529b<\/i>\u3068\u547c\u3070\u308c\u3001\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u03c6 g<\/i><\/sup><\/span>\u304b\u3089\u5c0e\u51fa\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u3053\u308c\u3092\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><\/span>\u306b\u540c\u5316\u3057\u307e\u3059\u3002 <\/p>

$$ {f^g = \\rho g = – \\rho \\nabla \\phi^g} $$<\/div> \u3002<\/center>

\u30dd\u30a2\u30bd\u30f3<\/a><\/span>\u65b9\u7a0b\u5f0f<\/a><\/span>\u306b\u3088\u3063\u3066\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u03c6 g \u304c<\/i><\/sup><\/span>\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002 <\/p>

$$ {\\nabla^2 \\phi^g = 4 \\pi G \\rho} $$<\/div> \u3001<\/center>

\u3053\u3053\u3067\u3001 G \u306f<\/i><\/span>\u91cd\u529b<\/a><\/span>\u5b9a\u6570\u3067\u3059\u3002\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u7279\u6027\u306f\u3001 \u03c6 g<\/i><\/sup><\/span>\u3068g \u304c<\/i><\/span>\u7a7a\u9593\u306e\u3069\u3053\u3067\u3082<\/i>\u3001\u7279\u306b 2 \u3064\u306e\u7570\u306a\u308b\u9023\u7d9a\u5a92\u4f53\u9593\u306e\u5883\u754c\u4e0a\u3067\u9023\u7d9a\u95a2\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>

\u96fb\u78c1\u76f8\u4e92\u4f5c\u7528\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u529b\u5834\u306b\u95a2\u3057\u3066\u306f\u3001\u901a\u5e38\u3001\u7269\u8cea\u70b9\u306f\u96fb\u8377<\/a><\/span>\u3092\u6301\u305f\u306a\u3044\u3001\u3064\u307e\u308a\u96fb\u6c17\u7684\u306b\u4e2d\u6027\u3067<\/i>\u3042\u308b\u3068\u60f3\u5b9a\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u5730\u7403\u306e\u78c1\u5834<\/a><\/span>\u4e2d\u3092\u79fb\u52d5\u3059\u308b\u8cea\u70b9\u03be<\/span>\u306b\u306f\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u304c<\/a><\/span>\u76f4\u63a5\u4f5c\u7528\u3057\u306a\u3044\u3068\u4eee\u5b9a\u3055\u308c\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u30a2\u30fc\u30b9\u6750\u6599\u306f<\/a><\/span>\u3055\u307e\u3056\u307e\u306a\u7a0b\u5ea6\u3067\u96fb\u6c17\u3092<\/a><\/span>\u4f1d\u5c0e\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u30bc\u30ed\u3067\u306f\u306a\u3044\u6709\u9650\u306e\u96fb\u6c17\u4f1d\u5c0e\u7387<\/a><\/span>\u03c3 e<\/i><\/sub><\/span>\u3092\u6301\u3061\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u7269\u8cea\u304c\u30bc\u30ed\u4ee5\u5916\u306e\u901f\u5ea6v<\/i><\/span>\u3067\u79fb\u52d5\u3059\u308b\u3068\u3001\u5185\u90e8\u306e\u5730\u78c1\u6c17\u3068\u76f8\u4e92\u4f5c\u7528\u3057\u3066\u8a98\u5c0e<\/a><\/span>\u96fb\u6d41<\/a><\/span>\u5bc6\u5ea6J<\/i><\/span>\u3092\u751f\u6210\u3057\u3001\u53ef\u5909<\/a><\/span>\u78c1\u6c17\u8a98\u5c0e<\/span>\u5834B<\/i> (\u03be, t<\/i> )<\/span>\u3092\u751f\u3058\u3055\u305b\u3066\u521d\u671f\u78c1\u5834\u3092\u5909\u66f4\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u3053\u306e\u96fb\u6d41\u306e\u5909\u52d5\u3059\u308b\u6d41\u308c<\/a><\/span>\u306b\u3088\u3063\u3066\u8a98\u5c0e\u96fb\u754cE<\/i> (\u03be, t<\/i> )<\/span>\u304c\u751f\u6210\u3055\u308c\u307e\u3059\u3002\u79fb\u52d5\u3059\u308b\u5730\u7403\u7269\u8cea\u3068\u5730\u78c1\u6c17B<\/i><\/span>\u3068\u306e\u3053\u308c\u3089\u3059\u3079\u3066\u306e\u76f8\u4e92\u4f5c\u7528\u306e\u7d50\u679c\u3001\u8a98\u5c0e\u96fb\u78c1\u529b\u5834f<\/i> em<\/sup> = c<\/i> \u2212 1<\/sup> J<\/i><\/span>\u304c\u8a95\u751f\u3057\u307e\u3059\u3002 B<\/i><\/span> \u3001 J<\/i> = \u03c3 e<\/i><\/sub> ( E<\/i> + c<\/i> \u2212 1<\/sup> v<\/i> . B<\/i> )<\/span>\u3067\u3001\u3053\u308c\u306b\u3088\u308a\u52d5\u304d\u304c\u5909\u66f4\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u30ac\u30a6\u30b9\u9759\u96fb\u5358\u4f4d\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002c\u306f<\/i><\/span>\u771f\u7a7a<\/a><\/span>\u4e2d\u306e\u5149\u306e\u901f\u5ea6<\/a><\/span>\u3067\u3059\u3002\u5b8c\u5168\u306a\u8a98\u96fb\u4f53<\/a><\/span>(\u03c3 e<\/i><\/sub> = 0)<\/span>\u3067\u306f\u3001\u96fb\u78c1\u529b\u306f\u30bc\u30ed( f<\/i> em<\/sup> = 0)<\/span>\u306b\u306a\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u5916\u90e8\u6cd5\u7ddan<\/i><\/span>\u3068\u306e\u96fb\u78c1\u754c\u9762<\/a><\/span>\u3067\u306f\u3001\u91cfn<\/i> \u3002 E<\/i> \u3001 n<\/i> \u3002 H<\/i><\/span>\u3068n<\/i> \u3002 B\u306f<\/i><\/span>\u9023\u7d9a\u3067\u3059\u3002\u5730\u7403\u306e\u5f3e\u6027\u5909\u5f62\u3001\u7279\u306b\u5730\u9707\u6ce2\u306e\u4f1d\u64ad<\/span>\u3001\u81ea\u7531\u632f\u52d5\u3001\u6f6e\u6c50\u5909\u5f62\u306a\u3069\u3092\u7814\u7a76\u3059\u308b\u3068\u304d\u3001\u79c1\u305f\u3061\u306f\u5f3e\u6027\u623b\u308a\u529b\u304c\u96fb\u78c1\u6c17\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u5927\u304d\u3044\u3068\u5358\u7d14\u306b\u4eee\u5b9a\u3057\u3066\u3001\u305d\u306e\u3088\u3046\u306a\u78c1\u6c17\u6d41\u4f53\u529b\u5b66\u307e\u305f\u306f\u78c1\u6c17\u5f3e\u6027\u73fe\u8c61\u306e\u8003\u616e\u3092\u7121\u8996\u3059\u308b\u3053\u3068\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002\u529b\u3002\u3057\u304b\u3057\u3001\u81ea\u52b1\u30c0\u30a4\u30ca\u30e2<\/span>\u52b9\u679c\u306b\u3088\u308b\u5730\u7403\u306e\u5916\u6838\u306b\u304a\u3051\u308b\u5185\u90e8\u5730\u78c1\u5834\u306e\u751f\u6210\u3092\u8003\u3048\u308b\u969b\u306b\u306f\u3001\u3053\u308c\u3089\u306e\u529b\u304c\u5b58\u5728\u3057\u3001\u4e0d\u53ef\u6b20\u3067\u3042\u308b\u3053\u3068\u3092\u5fc3\u306b\u7559\u3081\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u3001\u6838\u306e\u5909\u5f62\u3084\u632f\u52d5\u3092\u7814\u7a76\u3059\u308b\u5834\u5408\u306b\u306f\u6700\u7d42\u7684\u306b\u91cd\u8981\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u4f4e\u632f\u5e45<\/a><\/span>\u306e\u5730\u7403\u5168\u4f53\u306e\u5909\u5f62\u3092\u8003\u616e\u3059\u308b\u5834\u5408\u3001\u5b9f\u969b\u306b\u306f\u7121\u8996\u3067\u304d\u308b\u7a0b\u5ea6\u3067\u3059\u3002<\/p>

\u6163\u6027<\/span>\u529b\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3067\u304d\u307e\u3059\u3002 <\/p>

$$ {f^\\text{in} = \\rho \\nabla \\left( \\frac{1}{2} | \\Omega .r |\\right )^2 – 2 \\rho \\Omega.v} $$<\/div><\/center>

\u3053\u3053\u3067\u3001 \u03a9<\/span>\u306f\u77ac\u9593\u7684\u306a\u56de\u8ee2\u30d9\u30af\u30c8\u30eb\u3001 r \u306f<\/i><\/span>\u8cea\u70b9 \\xi \u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb \\mathrm\u3001 v \u306f<\/i><\/span>\u3053\u306e\u70b9\u306e\u77ac\u9593\u7684\u306a\u901f\u5ea6\u3067\u3059\u3002\u7b2c 1 \u9805\u306f\u8ef8\u65b9\u5411\u529b\u3092\u8868\u3057\u3001\u7b2c 2 \u9805\u306f\u5358\u4f4d\u4f53\u7a4d\u3042\u305f\u308a\u306e\u30b3\u30ea\u30aa\u30ea\u529b<\/a><\/span>\u3092\u8868\u3057\u307e\u3059\u3002<\/p>

\u6f6e\u6c50\u5909\u5f62\u306f\u529b\u306b\u3088\u3063\u3066\u5f15\u304d\u8d77\u3053\u3055\u308c\u307e\u3059

$$ {f^\\text{m} = – \\rho \\nabla W^\\text{m}} $$<\/div>\u3053\u308c\u3082\u3001\u6f6e\u4f4d\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb<\/span>W<\/i> m<\/sup><\/span>\u304b\u3089\u5c0e\u51fa\u3055\u308c\u307e\u3059\u3002\u5730\u4e0a\u6f6e\u6c50\u306e\u5834\u5408\u3001\u73fe\u5728\u5e02\u8ca9\u3055\u308c\u3066\u3044\u308b\u691c\u51fa\u88c5\u7f6e\u306e\u611f\u5ea6\u3092\u8003\u616e\u3059\u308b\u3068\u3001\u6708<\/a><\/span>\u3068\u592a\u967d<\/a><\/span>\u306e\u56db\u6975\u9805\uff08 n<\/i> = 2\uff09<\/span>\u3068\u516b\u6975\u9805\uff08 n<\/i> = 3\uff09<\/span>\u3092\u7dcf\u5408\u7684\u306b\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u591a\u6975\u306e\u6f6e\u4f4d\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb: <\/p>
$$ {W^\\text{m} = \\Sigma_A G M_A \\mathrm d_A^{-1} \\sum_{n=2}^\\infty \\left( \\frac{r}{\\mathrm d_A} \\right)^n P_n \\left( \\cos z_A \\right)} $$<\/div> \u3002<\/center>

\u3053\u3053\u3067\u3001 G \u306f<\/i><\/span>\u91cd\u529b\u5b9a\u6570( G<\/i> = 6,673.10 \u2212 11<\/sup> m 3<\/sup> s \u2212 2<\/sup> kg \u2212 1<\/sup> )<\/span> \u3001 MA<\/i>\u306f<\/i><\/sub><\/span>\u6f6e\u6c50\u3092\u751f\u6210\u3059\u308b\u661f\u306e\u8cea\u91cf\u3001 d A \u306f<\/i><\/sub><\/span>\u5730\u7403\u306e\u8cea\u91cf<\/a><\/span>\u4e2d\u5fc3\u304b\u3089\u306e\u8ddd\u96e2\u3067\u3059\u3002 A<\/i><\/span>\u306e\u8cea\u91cf\u4e2d\u5fc3\u3001 z<\/i> A<\/i><\/sub><\/span>\u306fA<\/i><\/span>\u306e\u5929\u9802\u8ddd\u96e2\u3001 r \u306f<\/i><\/span>\u5730\u7403\u306e\u8cea\u91cf\u4e2d\u5fc3\u304b\u3089\u6f6e\u6c50\u304c\u6e2c\u5b9a\u3055\u308c\u308b\u5730\u70b9\u307e\u3067\u306e\u8ddd\u96e2\u3067\u3059\u3002\u8a18\u53f7P<\/i> n \u306f<\/i><\/sub><\/span>\u3001\u901a\u5e38\u3069\u304a\u308a\u3001 n<\/i><\/span>\u6b21<\/span>\u306e\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f<\/a><\/span>\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002\u4e0a\u306e\u5f0f\u306e\u6700\u521d\u306e\u5408\u8a08\u306f\u3001\u7406\u8ad6<\/a><\/span>\u7684\u306b\u306f\u3001\u5730\u7403\u306b\u6f6e\u6c50\u52b9\u679c\u3092\u5f15\u304d\u8d77\u3053\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3059\u3079\u3066\u306e\u661fA<\/i><\/span>\u306b\u62e1\u5f35\u3055\u308c\u307e\u3059\u3002\u5b9f\u969b\u306b\u306f\u3001\u305d\u308c\u306f\u6708\u3001\u592a\u967d\u3001\u305d\u3057\u3066\u975e\u5e38\u306b\u6b63\u78ba\u306a\u8a08\u7b97\u3067\u306f\u91d1\u661f\u3068\u6728\u661f\u306b\u9650\u5b9a\u3055\u308c\u307e\u3059\u3002<\/p><\/div>

\n\"\u9023\u7d9a\u529b\u5b66\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f<\/figure>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. Vergelyking (wiskunde) \u2013 afrikaans<\/a><\/li>
  2. Gleichung \u2013 al\u00e9manique<\/a><\/li>
  3. Ecuaci\u00f3n \u2013 aragonais<\/a><\/li>
  4. \u0938\u092e\u0940\u0915\u0930\u0923 \u2013 angika<\/a><\/li>
  5. \u0645\u0639\u0627\u062f\u0644\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u2013 arabe<\/a><\/li>
  6. \u0645\u0639\u0627\u062f\u0644\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u2013 arabe \u00e9gyptien<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u9023\u7d9a\u529b\u5b66\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f – \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n