{"id":34831,"date":"2022-07-12T13:00:45","date_gmt":"2022-07-12T13:00:45","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34831"},"modified":"2025-09-21T03:00:26","modified_gmt":"2025-09-21T03:00:26","slug":"%e3%82%ac%e3%83%aa%e3%83%ac%e3%82%aa%e5%a4%89%e6%8f%9b%e3%81%a8%e3%81%9d%e3%81%ae%e9%99%90%e7%95%8c","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e3%82%ac%e3%83%aa%e3%83%ac%e3%82%aa%e5%a4%89%e6%8f%9b%e3%81%a8%e3%81%9d%e3%81%ae%e9%99%90%e7%95%8c\/","title":{"rendered":"\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3068\u305d\u306e\u9650\u754c"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3068\u305d\u306e\u9650\u754c<\/h1>\n<p class=\"eq\"><em><strong>\u8981\u7d04:<\/strong><br \/>\n\u76f8\u5bfe\u6027\u539f\u7406\u306f\u3001\u89b3\u6e2c\u304c\u6163\u6027\u7cfb\u306b\u4f9d\u5b58\u3059\u308b\u304c\u3001\u7269\u7406\u6cd5\u5247\u306f\u4fdd\u6301\u3055\u308c\u308b\u3068\u4e3b\u5f35\u3059\u308b\u3002\u3053\u306e\u539f\u7406\u306b\u5bfe\u3059\u308b\u6700\u521d\u306e\u76f4\u611f\u7684\u306a\u63a5\u8fd1\u65b9\u6cd5\u306f\u3001\u53e4\u5178\u529b\u5b66\u306b\u304a\u3051\u308b\u6163\u6027\u7cfb\u9593\u306e\u89b3\u6e2c\u306e\u5909\u5316\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3067\u3042\u308b\u3002\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u5909\u63db\u3068\u305d\u306e\u7279\u6027\u3092\u5b66\u3073\u3001\u307e\u305f\u6ce2\u306e\u4f1d\u64ad\u73fe\u8c61\u306b\u9069\u7528\u3057\u305f\u969b\u306b\u3069\u306e\u3088\u3046\u306b\u7834\u7dbb\u3059\u308b\u304b\u306b\u3064\u3044\u3066\u3082\u8003\u5bdf\u3059\u308b\u3002<\/br><\/em><\/p>\n<p><strong>\u5b66\u7fd2\u76ee\u6a19<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u7d42\u4e86\u6642\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b:\n<\/p>\n<p><\/center><\/p>\n<ol>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong> \u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306e\u57fa\u672c\u6982\u5ff5\u3001\u305d\u306e\u57fa\u672c\u7684\u306a\u5b9a\u5f0f\u5316\u304a\u3088\u3073\u57fa\u790e\u539f\u7406\u3002<\/li>\n<li><strong>\u5206\u6790\u3059\u308b<\/strong> \u7a7a\u9593\u3068\u6642\u9593\u306e\u30ac\u30ea\u30ec\u30aa\u7684\u5e7e\u4f55\u5b66\u304a\u3088\u3073\u53e4\u5178\u529b\u5b66\u306b\u304a\u3051\u308b\u305d\u306e\u5206\u96e2\u3002<\/li>\n<li><strong>\u8a55\u4fa1\u3059\u308b<\/strong> \u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3092\u6ce2\u306e\u4f1d\u64ad\u306e\u3088\u3046\u306a\u73fe\u8c61\u306b\u9069\u7528\u3059\u308b\u969b\u306e\u9650\u754c\u3068\u3001\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6\u3078\u306e\u767a\u5c55\u306b\u304a\u3051\u308b\u305d\u306e\u610f\u7fa9\u3002<\/li>\n<\/ol>\n<p><center><\/p>\n<p class=\"indx\"><strong>\u76ee\u6b21<\/strong><br \/>\n<a href=\"#1\"><strong>\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306e\u5b9a\u5f0f\u5316<\/strong><\/a><br \/>\n<a href=\"#2\">\u9006\u5909\u63db<\/a><br \/>\n<a href=\"#3\">\u7d76\u5bfe\u6642\u9593\u3068\u901f\u5ea6\u306e\u52a0\u6cd5<\/a><br \/>\n<a href=\"#4\">\u7a7a\u9593\u3068\u6642\u9593\u306e\u30ac\u30ea\u30ec\u30aa\u5e7e\u4f55\u5b66<\/a><br \/>\n<a href=\"#5\"><strong>\u30ac\u30ea\u30ec\u30aa\u76f8\u5bfe\u6027\u3068\u7269\u7406\u6cd5\u5247<\/strong><\/a><br \/>\n<a href=\"#6\">\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u3078\u306e\u5fdc\u7528<\/a><br \/>\n<a href=\"#7\">\u6ce2\u306e\u4f1d\u64ad\u3078\u306e\u5fdc\u7528<\/a><br \/>\n<a href=\"#8\">\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306f\u6ce2\u306e\u4f1d\u64ad\u306b\u3069\u306e\u3088\u3046\u306a\u5f71\u97ff\u3092\u53ca\u307c\u3059\u304b\uff1f<\/a><\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/ku-9nbTSaJg?si=1dmuCtjzBPUy14v_\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><br \/>\n<\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306e\u5b9a\u5f0f\u5316<\/h2>\n<p style=\"text-align:justify;\">\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u306f\u3001\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3092\u901a\u3058\u3066\u30e2\u30c7\u30eb\u5316\u3055\u308c\u308b\u76f8\u5bfe\u6027\u539f\u7406\u306e\u4e0a\u306b\u6210\u308a\u7acb\u3063\u3066\u304a\u308a\u3001\u6642\u9593\u306f\u3059\u3079\u3066\u306e\u6163\u6027\u89b3\u6e2c\u8005\u306b\u3068\u3063\u3066\u666e\u904d\u7684\u306a\u5ea7\u6a19\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u3002\u3059\u306a\u308f\u3061 <span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime<\/span> \u3067\u3042\u308b\u3002\u3053\u306e\u4e3b\u5f35\u306e\u4e0b\u3067\u30012\u3064\u306e\u6163\u6027\u7cfb <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u306e\u89b3\u6e2c\u3092\u95a2\u9023\u3065\u3051\u308b\u7dda\u5f62\u5909\u63db\u306f\u3001<a href=\"http:\/\/toposuranos.com\/material\/es\/el-principio-de-relatividad-especial\/?fbclid=IwAR2_lpF1hyUlbSzFQ5B5OQpPu1Vhc_20zTGu8D4pxKPsSvzZRvLSzPdwQXU\" rel=\"noopener\" target=\"_blank\">\u76f8\u5bfe\u6027\u539f\u7406<\/a> \u306b\u95a2\u3059\u308b\u8b1b\u7fa9\u3067\u78ba\u8a8d\u3057\u305f\u3088\u3046\u306b\u3001\u7dda\u5f62\u5909\u63db\u306e\u5f62\u3092\u3068\u308b\u3002<\/p>\n<p><a name=\"eq1\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nt^\\prime &amp;= At + Bx,\\\\ x^\\prime &amp;= Dt + Ex,\\\\ y^\\prime &amp;= y, \\\\ z^\\prime &amp;=z,\n\n\\end{array}<\/span> <strong>[1]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u6163\u6027\u7cfb <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u304c\u6a19\u6e96\u914d\u7f6e\u306b\u3042\u308a\u3001<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u306b\u5bfe\u3057\u3066\u901f\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">v_{ss^\\prime_x}\\hat{x}<\/span> \u3067\u904b\u52d5\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u3053\u306e\u5909\u63db\u306f\u6b21\u306e\u5f62\u3092\u3068\u308b\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png\" alt=\"\u5ea7\u6a19\u5909\u63db\" width=\"1374\" height=\"741\" class=\"aligncenter size-full wp-image-25502 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png\" alt=\"\u5ea7\u6a19\u5909\u63db\" width=\"1374\" height=\"741\" class=\"aligncenter size-full wp-image-25502 lazyload\" srcset=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png 1374w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-300x162.png 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-1024x552.png 1024w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-768x414.png 768w\" sizes=\"(max-width: 1374px) 100vw, 1374px\" \/><\/noscript><\/center><\/p>\n<p><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rlr}\n\n{}t^\\prime &amp;= t  \\\\ x^\\prime &amp;= x - v_{ss^\\prime_x}t \\\\ y^\\prime &amp;= y \\\\ z^\\prime &amp;= z\n\n\\end{array}\n\n<\/span> <strong>[2]<\/strong><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u9006\u5909\u63db<\/h3>\n<p style=\"text-align:justify;\">\u3042\u308b\u7a2e\u306e\u4ee3\u6570\u7684\u5bfe\u79f0\u6027\u306b\u57fa\u3065\u3044\u3066\u3001\u9006\u5909\u63db\u3092\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<p><a name=\"eq3\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nt &amp;= t^\\prime \\\\ x &amp;= x^\\prime + v_{ss^\\prime_x}t \\\\ y &amp;= y^\\prime \\\\ z &amp;= z^\\prime \\end{array}\n\n<\/span> <strong>[3]<\/strong><\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u7d76\u5bfe\u6642\u9593\u3068\u901f\u5ea6\u306e\u52a0\u6cd5<\/h3>\n<p style=\"text-align:justify;\">\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306e\u6700\u521d\u306e\u5f0f\uff08<a href=\"#eq2\">[2]<\/a> \u307e\u305f\u306f <a href=\"#eq3\">[3]<\/a> \u306e\u3044\u305a\u308c\u3067\u3082\uff09\u304b\u3089\u3001\u4e8b\u8c61\u306e\u6642\u9593\u5ea7\u6a19\u306f\u89b3\u6e2c\u3055\u308c\u308b\u6163\u6027\u7cfb\u306b\u4f9d\u5b58\u3057\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u4e00\u65b9\u30012\u756a\u76ee\u306e\u5f0f\u306f\u3001\u901f\u5ea6\u306e\u52a0\u6cd5\u306b\u95a2\u3057\u3066\u4e00\u822c\u7684\u306b\u300c\u5e38\u8b58\u300d\u3068\u7406\u89e3\u3055\u308c\u308b\u3082\u306e\u3092\u5c0e\u304f\u3002\u3082\u3057\u7c92\u5b50\u304c <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u306e <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> \u8ef8\u4e0a\u3092\u4e00\u5b9a\u901f\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">v_{ss^\\prime_x}<\/span> \u3067\u904b\u52d5\u3057\u3066\u3044\u308b\u306a\u3089\u3001\u305d\u306e\u901f\u5ea6\u306f <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u306b\u304a\u3044\u3066\u6b21\u306e\u3088\u3046\u306b\u6c7a\u5b9a\u3055\u308c\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle v^\\prime_x = \\frac{dx^\\prime}{dt^\\prime} = \\frac{dx^\\prime}{dt} = \\frac{d}{dt}\\left(x - v_{ss^\\prime_x} t \\right) = v_x - v_{ss^\\prime_x}<\/span>\n<p style=\"text-align:justify;\">\u3053\u306e\u6700\u5f8c\u306e\u5f0f\u3092\u5fae\u5206\u3059\u308b\u3068\u3001\u4efb\u610f\u306e\u7c92\u5b50\u306e\u52a0\u901f\u5ea6\u306f <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span> \u306e\u3044\u305a\u308c\u306b\u304a\u3044\u3066\u3082\u540c\u4e00\u3067\u3042\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u308b\u3002\u3059\u306a\u308f\u3061 <span class=\"katex-eq\" data-katex-display=\"false\">dv^\\prime_x\/dt^\\prime = dv_x\/dt<\/span> \u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u7a7a\u9593\u3068\u6642\u9593\u306e\u30ac\u30ea\u30ec\u30aa\u5e7e\u4f55\u5b66<\/h3>\n<p style=\"text-align:justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u3068\u3044\u30462\u3064\u306e\u4e8b\u8c61\u3092\u8003\u3048\u3001\u305d\u308c\u305e\u308c\u306e\u5ea7\u6a19\u304c <span class=\"katex-eq\" data-katex-display=\"false\">(t_A,x_A,y_A,z_A)<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">(t_B,x_B,y_B,z_B)<\/span> \u3067\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d\u3001\u91cf <span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t = t_B - t_A<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">\\Delta r^2 = \\Delta x^2 + \\Delta y^2 + \\Delta z^2<\/span> \u304c\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306e\u4e0b\u3067\u305d\u308c\u305e\u308c\u4e0d\u5909\u3067\u3042\u308b\u3053\u3068\u306f\u5bb9\u6613\u306b\u78ba\u8a8d\u3067\u304d\u308b\u3002\u3053\u308c\u306f\u3001\u7a7a\u9593\u3068\u6642\u9593\u3092\u5225\u500b\u306e\u5b58\u5728\u3068\u3057\u3066\u8003\u3048\u308b\u3053\u3068\u3078\u3068\u5c0e\u304f\u3002\u4e00\u65b9\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta r^2<\/span> \u306f\u3001\u3053\u308c\u306f\u7a7a\u9593\u305d\u306e\u3082\u306e\u306e\u5e7e\u4f55\u5b66\u7684\u6027\u8cea\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u5506\u3057\u3066\u3044\u308b\u3002\u6211\u3005\u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\Delta r^2<\/span> \u3092\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\u306b\u304a\u3051\u308b\u4e8b\u8c61\u9593\u306e\u8ddd\u96e2\u306e\u4e8c\u4e57\u3068\u3057\u3066\u8a8d\u8b58\u3059\u308b\u3002\u3053\u308c\u304c\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u306e\u6587\u8108\u306b\u304a\u3051\u308b\u7a7a\u9593\u3068\u6642\u9593\u306e\u5e7e\u4f55\u5b66\u3092\u5b9a\u7fa9\u3059\u308b\u3002<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u30ac\u30ea\u30ec\u30aa\u76f8\u5bfe\u6027\u3068\u7269\u7406\u6cd5\u5247<\/h2>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u3078\u306e\u5fdc\u7528<\/h3>\n<p style=\"text-align:justify;\">\u524d\u7bc0\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u306e\u6587\u8108\u3067\u306f\u3001\u4efb\u610f\u306e2\u3064\u306e\u7570\u306a\u308b\u6163\u6027\u7cfb\u306f\u5e38\u306b\u540c\u3058\u52a0\u901f\u5ea6\u3092\u89b3\u6e2c\u3059\u308b\u3002\u3053\u308c\u3092\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u7b2c2\u6cd5\u5247\u3068\u7d44\u307f\u5408\u308f\u305b\u308b\u3068\u3001\u3059\u3079\u3066\u306e\u6163\u6027\u7cfb\u304c\u5e38\u306b\u540c\u3058\u529b\u5b66\u3092\u89b3\u6e2c\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u3059\u306a\u308f\u3061:<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle F_x = m\\frac{dv_x}{dt}= m\\frac{dv^\\prime_x}{dt^\\prime} = F^\\prime_x.<\/span> <\/p>\n<p style=\"text-align:justify;\">\u3053\u306e\u6700\u5f8c\u306e\u5f0f\u306f\u3001<strong>\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3092\u884c\u3063\u3066\u3082\u7269\u7406\u6cd5\u5247\u306f\u5909\u308f\u3089\u306a\u3044<\/strong>\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u3053\u308c\u306f\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u7269\u7406\u6cd5\u5247\u306f\u3059\u3079\u3066\u306e\u6163\u6027\u89b3\u6e2c\u8005\u306b\u5bfe\u3057\u3066\u540c\u4e00\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"7\"><\/a><\/p>\n<h3>\u6ce2\u306e\u4f1d\u64ad\u3078\u306e\u5fdc\u7528<\/h3>\n<p style=\"text-align:justify;\">\u6163\u6027\u89b3\u6e2c\u8005\u306e\u5909\u5316\u306b\u5bfe\u3057\u3066\u7269\u7406\u6cd5\u5247\u304c\u4fdd\u6301\u3055\u308c\u308b\u3053\u3068\u306f\u3001\u7b2c\u4e00\u306b\u6211\u3005\u304c\u904b\u52d5\u3059\u308b\u3068\u304d\u306b\u89b3\u6e2c\u3059\u308b\u4e8b\u5b9f\u3067\u3042\u308a\u3001\u7b2c\u4e8c\u306b\u524d\u7bc0\u307e\u3067\u306e\u8a08\u7b97\u304b\u3089\u5f97\u3089\u308c\u305f\u7d50\u8ad6\u3067\u3042\u308b\u305f\u3081\u3001\u5f53\u7136\u6210\u308a\u7acb\u3064\u3053\u3068\u304c\u671f\u5f85\u3055\u308c\u308b\u3002\u3057\u304b\u3057\u3001\u5b9f\u969b\u306b\u306f\u5e38\u306b\u305d\u3046\u3067\u3042\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u3002\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306e\u4e0b\u3067\u4fdd\u5b58\u3055\u308c\u306a\u3044\u73fe\u8c61\u306e\u6700\u3082\u9855\u8457\u306a\u4f8b\u306f\u3001\u6ce2\u306e\u4f1d\u64ad\u3067\u3042\u308b\u3002\u4e00\u822c\u306b\u3001\u6ce2 <span class=\"katex-eq\" data-katex-display=\"false\">\\psi<\/span> \u306e\u7a7a\u9593\u304a\u3088\u3073\u6642\u9593\u306b\u304a\u3051\u308b\u4f1d\u64ad\u3092\u8868\u3059\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u5f62\u3092\u3068\u308b\u3002<\/p>\n<p><a name=\"eq4\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\nabla^2 \\psi = \\frac{1}{v_0^2}\\frac{\\partial^2 \\psi}{\\partial t^2}<\/span> <strong>[4]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u3053\u3053\u3067 <span class=\"katex-eq\" data-katex-display=\"false\">v_0<\/span> \u306f\u6ce2\u306e\u4f1d\u64ad\u901f\u5ea6\u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"8\"><\/a><\/p>\n<h4>\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306f\u6ce2\u306e\u4f1d\u64ad\u306b\u3069\u306e\u3088\u3046\u306a\u5f71\u97ff\u3092\u53ca\u307c\u3059\u304b\uff1f<\/h4>\n<p style=\"text-align:justify;\">\u3053\u308c\u306b\u3064\u3044\u3066\u306f\u77ed\u3044\u7b54\u3048\u3068\u9577\u3044\u7b54\u3048\u304c\u3042\u308b\u3002\u77ed\u3044\u7b54\u3048\u306f\u300c\u540c\u3058\u73fe\u8c61\u3092\u89b3\u6e2c\u3057\u3066\u3044\u3066\u3082\u3001\u7570\u306a\u308b\u6163\u6027\u89b3\u6e2c\u8005\u306f\u300e\u7570\u306a\u308b\u7269\u7406\u300f\u3092\u898b\u308b\u300d\u3068\u3044\u3046\u3082\u306e\u3067\u3042\u308b\u3002\u9577\u3044\u7b54\u3048\u306f\u3001\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3092\u9069\u7528\u3057\u305f\u3068\u304d\u306b\u6ce2\u306e\u4f1d\u64ad\u65b9\u7a0b\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u305d\u306e\u305f\u3081\u306b\u3001\u307e\u305a\u65b9\u7a0b\u5f0f <a href=\"#eq3\">[4]<\/a> \u3092\u53d6\u308a\u3001\u305d\u308c\u305e\u308c\u306e\u5ea7\u6a19\u306b\u5c55\u958b\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p><a name=\"eq5\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial ^2 \\psi}{\\partial x^2} + \\frac{\\partial ^2 \\psi}{\\partial y^2} + \\frac{\\partial ^2 \\psi}{\\partial z^2} = \\frac{1}{v_0^2} \\frac{\\partial ^2 \\psi}{\\partial t^2}.<\/span> <strong>[5]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u3053\u306e\u5f0f\u3092\u7528\u3044\u3066\u3001\u6b21\u306b <a href=\"#eq3\">[3]<\/a> \u306e\u5f0f\u3092\u4f7f\u3044\u3001\u4ed6\u65b9\u306e\u6163\u6027\u7cfb\u306b\u304a\u3051\u308b\u5c0e\u95a2\u6570\u306b\u66f8\u304d\u63db\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n<h5>1\u968e\u5c0e\u95a2\u6570\u306e\u5909\u63db<\/h5>\n<p style=\"text-align:justify;\"><a href=\"#eq3\">[3]<\/a> \u306e\u5f0f\u306b\u5f93\u3044\u3001\u5404\u5909\u6570\u3092\u30d7\u30e9\u30a4\u30e0\u4ed8\u304d\u306e\u5909\u6570\u3067\u5fae\u5206\u3059\u308b\u3068\u6b21\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial x^\\prime}{\\partial x} = \\frac{\\partial y^\\prime}{\\partial y}= \\frac{\\partial z^\\prime}{\\partial z}= \\frac{\\partial t^\\prime}{\\partial t}= 1<\/span>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial x^\\prime}{\\partial t} = - v_{x_0}<\/span>\n<p style=\"text-align:justify;\">\u4e00\u65b9\u3001\u305d\u306e\u4ed6\u306e\u5c0e\u95a2\u6570\u306f\u3059\u3079\u3066\u30bc\u30ed\u3068\u306a\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial t^\\prime}{\\partial x} = \\frac{\\partial t^\\prime}{\\partial y} = \\frac{\\partial t^\\prime}{\\partial z} = \\frac{\\partial x^\\prime}{\\partial y} = \\frac{\\partial x^\\prime}{\\partial z} = \\frac{\\partial y^\\prime}{\\partial x} = \\frac{\\partial y^\\prime}{\\partial z} = \\frac{\\partial y^\\prime}{\\partial t} = \\frac{\\partial z^\\prime}{\\partial x} = \\frac{\\partial z^\\prime}{\\partial y} = \\frac{\\partial z^\\prime}{\\partial t} = 0\n\n<\/span>\n<p style=\"text-align:justify;\">\u3053\u308c\u3092\u8e0f\u307e\u3048\u3066\u3001\u6b21\u306b\u30c1\u30a7\u30fc\u30f3\u30eb\u30fc\u30eb\u3092\u7528\u3044\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">\\psi<\/span> \u306e\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{\\partial \\psi}{\\partial x} = \\frac{\\partial \\psi}{\\partial x^\\prime} \\underbrace{\\frac{\\partial x^\\prime}{\\partial x}}_{=1} + \\frac{\\partial \\psi}{\\partial y^\\prime} \\underbrace{\\frac{\\partial y^\\prime}{\\partial x}}_{=0} +\n\n\\frac{\\partial \\psi}{\\partial z^\\prime} \\underbrace{\\frac{\\partial z^\\prime}{\\partial x}}_{=0} + \\frac{\\partial \\psi}{\\partial t^\\prime} \\underbrace{\\frac{\\partial t^\\prime}{\\partial x}}_{=0} =  \\frac{\\partial \\psi}{\\partial x^\\prime}.<\/span>\n<p>\u540c\u69d8\u306b\u3001\u4ed6\u306e2\u3064\u306e\u7a7a\u9593\u5909\u6570\u306b\u3064\u3044\u3066\u3082\u6b21\u304c\u6210\u308a\u7acb\u3064:<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{\\partial \\psi}{\\partial y} =  \\frac{\\partial \\psi}{\\partial y^\\prime}.<\/span>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{\\partial \\psi}{\\partial z} =  \\frac{\\partial \\psi}{\\partial z^\\prime}.<\/span>\n<p style=\"text-align:justify;\">\u3057\u304b\u3057\u3001\u6642\u9593\u5fae\u5206\u306b\u3064\u3044\u3066\u306f\u3044\u304f\u3064\u304b\u306e\u9055\u3044\u304c\u73fe\u308c\u308b\u3002<\/p>\n<p id=\"eq\">\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\displaystyle \\frac{\\partial \\psi}{\\partial t} &amp;= \\displaystyle\\frac{\\partial \\psi}{\\partial x^\\prime}\\underbrace{\\frac{\\partial x^\\prime}{\\partial t}}_{=-v_{x_0}} + \\frac{\\partial \\psi}{\\partial y^\\prime}\\underbrace{\\frac{\\partial y^\\prime}{\\partial t}}_{=0} + \\frac{\\partial \\psi}{\\partial z^\\prime}\\underbrace{\\frac{\\partial z^\\prime}{\\partial t}}_{=0} + \\frac{\\partial \\psi}{\\partial t^\\prime}\\underbrace{\\frac{\\partial t^\\prime}{\\partial t}}_{=1}\\\\ &amp;=\\displaystyle -v_{x_0} \\frac{\\partial \\psi}{\\partial x^\\prime} + \\frac{\\partial \\psi}{\\partial t^\\prime},\n\n\\end{array}\n\n<\/span>\n<h5>2\u968e\u5c0e\u95a2\u6570\u306e\u5909\u63db<\/h5>\n<p style=\"text-align:justify;\">\u7a7a\u9593\u90e8\u5206\u306b\u3064\u3044\u3066\u306f\u5927\u304d\u306a\u56f0\u96e3\u306a\u304f\u9032\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u305d\u306e\u7d50\u679c\u306f\u6b21\u306e\u901a\u308a\u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"eq6\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial^2 \\psi}{\\partial x^2} = \\frac{\\partial^2 \\psi}{\\partial {x^\\prime}^2}.<\/span> <strong>[6]<\/strong><\/p>\n<p><a name=\"eq7\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial^2 \\psi}{\\partial y^2} = \\frac{\\partial^2 \\psi}{\\partial {y^\\prime}^2}<\/span> <strong>[7]<\/strong><\/p>\n<p><a name=\"eq8\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial^2 \\psi}{\\partial z^2} = \\frac{\\partial^2 \\psi}{\\partial {z^\\prime}^2}<\/span> <strong>[8]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u3057\u304b\u3057\u3001\u6642\u9593\u90e8\u5206\u306b\u3064\u3044\u3066\u306f\u3001\u3059\u3067\u306b1\u968e\u5c0e\u95a2\u6570\u304b\u3089\u4e88\u60f3\u3067\u304d\u305f\u3088\u3046\u306b\u3001\u5927\u304d\u306a\u9055\u3044\u304c\u73fe\u308c\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\displaystyle\\frac{\\partial^2 \\psi}{\\partial t^2} &amp;=\\displaystyle \\frac{\\partial}{\\partial t}\\left( -v_{x_0} \\frac{\\partial \\psi}{\\partial x^\\prime} + \\frac{\\partial \\psi}{\\partial t^\\prime} \\right)\\\\ &amp; \\displaystyle = -v_{x_0} \\frac{\\partial }{\\partial t} \\left(\\frac{\\partial \\psi}{\\partial x^\\prime} \\right) + \\frac{\\partial }{\\partial t} \\left(\\frac{\\partial \\psi}{\\partial t^\\prime} \\right)\\\\ &amp;\\displaystyle = -v_{x_0} \\frac{\\partial }{\\partial x^\\prime} \\left(\\frac{\\partial \\psi}{\\partial t} \\right) + \\frac{\\partial }{\\partial t^\\prime} \\left(\\frac{\\partial \\psi}{\\partial t} \\right)\\\\ &amp;\\displaystyle = -v_{x_0} \\frac{\\partial }{\\partial x^\\prime} \\left(-v_{x_0} \\frac{\\partial \\psi}{\\partial x^\\prime} + \\frac{\\partial \\psi}{\\partial t^\\prime} \\right) + \\frac{\\partial }{\\partial t^\\prime} \\left(-v_{x_0} \\frac{\\partial \\psi}{\\partial x^\\prime} + \\frac{\\partial \\psi}{\\partial t^\\prime} \\right) \\end{array}<\/span>\n<p><a name=\"eq9\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle\\frac{\\partial^2 \\psi}{\\partial t^2}  = v_{x_0}^2 \\frac{\\partial^2 \\psi}{\\partial {x^\\prime}^2} - 2v_{x_0}\\frac{\\partial^2 \\psi}{\\partial x^\\prime \\partial t^\\prime} + \\frac{\\partial^2 \\psi}{\\partial {t^\\prime}^2}.<\/span> <strong>[9]<\/strong><\/p>\n<h5>\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3092\u6ce2\u306e\u4f1d\u64ad\u306b\u9069\u7528\u3059\u308b<\/h5>\n<p style=\"text-align:justify;\">\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u6ce2\u306e\u4f1d\u64ad\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3057\u3066\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3042\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u5f0f [<a href=\"#eq6\">6<\/a>,<a href=\"#eq7\">7<\/a>,<a href=\"#eq8\">8<\/a>] \u304a\u3088\u3073 [<a href=\"#eq9\">9<\/a>] \u3092\u5f0f [<a href=\"#eq5\">5<\/a>] \u306b\u4ee3\u5165\u3059\u308b\u3068\u3001\u6b21\u306e\u7d50\u679c\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle \\frac{\\partial^2 \\psi}{\\partial {x^\\prime}^2} + \\frac{\\partial^2 \\psi}{\\partial {y^\\prime}^2} + \\frac{\\partial^2 \\psi}{\\partial {z^\\prime}^2} = \\frac{1}{v_0^2} \\left(\\color{red}{ v_{x_0}^2 \\frac{\\partial^2 \\psi}{\\partial {x^\\prime}^2} - 2v_{x_0}\\frac{\\partial^2 \\psi}{\\partial x^\\prime \\partial t^\\prime}} + \\frac{\\partial^2 \\psi}{\\partial {t^\\prime}^2} \\right).\n\n<\/span> <strong>[10]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u3053\u3053\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u6ce2\u306e\u4f1d\u64ad\u306e\u5f62\u306f\u8d64\u3067\u793a\u3057\u305f\u8ffd\u52a0\u9805\u306e\u51fa\u73fe\u306b\u3088\u308a\u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306e\u4e0b\u3067\u4fdd\u6301\u3055\u308c\u306a\u3044\u3002\u73fe\u6642\u70b9\u3067\u306f\u3053\u308c\u306b\u5927\u304d\u306a\u5f71\u97ff\u306f\u306a\u3044\u304c\u3001\u5f8c\u306e\u8b1b\u7fa9\u3067\u898b\u308b\u3088\u3046\u306b\u3001\u3053\u308c\u306f\u53e4\u5178\u7269\u7406\u5b66\u3092\u300c\u7834\u308b\u300d\u70b9\u3067\u3042\u308a\u3001\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6\u3078\u306e\u79fb\u884c\u3092\u4fc3\u3059\u5951\u6a5f\u3068\u306a\u308b\u3002<\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\">\n<h2>\u7d50\u8ad6<\/h2>\n<p style=\"text-align:justify;\">\n        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\u3067\u904b\u52d5\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u3053\u306e\u5909\u63db\u306f\u6b21\u306e\u5f62\u3092\u3068\u308b\u3002 [2] \u9006\u5909\u63db \u3042\u308b\u7a2e\u306e\u4ee3\u6570\u7684\u5bfe\u79f0\u6027\u306b\u57fa\u3065\u3044\u3066\u3001\u9006\u5909\u63db\u3092\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002 [3] \u7d76\u5bfe\u6642\u9593\u3068\u901f\u5ea6\u306e\u52a0\u6cd5 \u30ac\u30ea\u30ec\u30aa\u5909\u63db\u306e\u6700\u521d\u306e\u5f0f\uff08[2] \u307e\u305f\u306f [3] 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