\u9759\u6b62\u7cfb\u306b\u5bfe\u3057\u3066\u901f\u5ea6$v_1$\u3067\u904b\u52d5\u3059\u308b\u6163\u6027\u7cfb\u3068\u3001\u305d\u306e\u6163\u6027\u7cfb\u3067\u901f\u5ea6$v_2$\u3067\u904b\u52d5\u3059\u308b\u7c92\u5b50\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002
\u9759\u6b62\u7cfb\u304b\u3089\u898b\u305f\u3053\u306e\u7c92\u5b50\u306e\u901f\u5ea6$V=\\frac{dx}{dt}$\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n
\u901f\u5ea6$v_1$\u3067\u8d70\u308b\u8eca\u304b\u3089\u901f\u5ea6$v_2$\u3067\u30dc\u30fc\u30eb\u3092\u6295\u3052\u305f\u3068\u304d\u3001\u9759\u6b62\u3057\u3066\u3044\u308b\u89b3\u6e2c\u8005\u304b\u3089\u306f\u305d\u306e\u30dc\u30fc\u30eb\u306e\u901f\u5ea6\u304c\u3069\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u304b\u3001\u3068\u3044\u3046\u8a71\u3067\u3059\u3002
\u975e\u76f8\u5bfe\u8ad6\u7684\u306a\u5834\u5408(\u901f\u5ea6\u304c\u5149\u901f\u3068\u6bd4\u3079\u3066\u5341\u5206\u306b\u9045\u3044\u5834\u5408)\u306b\u306f$V=v_1+v_2$\u3068\u306a\u308a\u307e\u3059\u304c\u3001\u901f\u5ea6\u304c\u5149\u901f\u306b\u8fd1\u3044\u3088\u3046\u306a\u5834\u5408\u306b\u306f\u3001\u89b3\u6e2c\u3055\u308c\u308b\u901f\u5ea6\u306f\u5358\u7d14\u306a\u548c\u3067\u306f\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u5b9f\u969b\u306b\u89b3\u6e2c\u3055\u308c\u308b\u901f\u5ea6\u3092\u6c42\u3081\u3066\u307f\u307e\u3059\u3002
\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u306e\u5f0f\u3088\u308a\u3001\u4ee5\u4e0b\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n
\u9759\u6b62\u7cfb\u3068\u901f\u5ea6$v_1$\u3067\u904b\u52d5\u3059\u308b\u6163\u6027\u7cfb\u306b\u3064\u3044\u3066\u3001<\/p>\n\n\n\n
$$ \\left\\{ \\begin{aligned} cdt&=\\gamma_1(cdt_1+\\frac{v_1}{c}dx_1) \\\\ dx&=\\gamma_1(v_1dt_1+dx_1) \\end{aligned} \\right. $$<\/p>\n\n\n\n
\u901f\u5ea6$v_1$\u3067\u904b\u52d5\u3059\u308b\u6163\u6027\u7cfb\u3068\u7c92\u5b50\u304c\u9759\u6b62\u3057\u3066\u898b\u3048\u308b\u6163\u6027\u7cfb\u306b\u3064\u3044\u3066\u3001<\/p>\n\n\n\n
$$ \\left\\{ \\begin{aligned} cdt_1&=\\gamma_2(cdt_2+\\frac{v_2}{c}\\cdot 0)=\\gamma_2cdt_2 \\\\ dx_1&=\\gamma_2(v_2dt_2+0)=\\gamma_2v_2dt_2 \\end{aligned} \\right. $$<\/p>\n\n\n\n
\u3053\u308c\u3089\u306e\u5f0f\u3088\u308a\u3001<\/p>\n\n\n\n
$$\n\\frac{dx}{cdt}=\\frac{v_1dt_1+dx_1}{cdt_1+\\frac{v_1}{c}dx_1}=\\frac{v_1+v_2}{c+\\frac{v_1}{c}v_2}=\\frac{v_1+v_2}{c(1+\\frac{v_1v_2}{c^2})}\n$$<\/p>\n\n\n\n
\u3057\u305f\u304c\u3063\u3066\u3001<\/p>\n\n\n\n
$$\nV=\\frac{dx}{dt}=\\frac{v_1+v_2}{1+\\frac{v_1v_2}{c^2}}\n$$<\/p>\n\n\n\n
$v_1,v_2\\ll c$\u306e\u5834\u5408\u306b\u306f\u3001\u975e\u76f8\u5bfe\u8ad6\u7684\u306a\u5834\u5408\u306e\u5f0f$V=v_1+v_2$\u306b\u4e00\u81f4\u3057\u307e\u3059\u3002
\u307e\u305f\u3001$v_1,v_2\\to c \\Rightarrow V \\to c$\u3068\u306a\u308b\u3053\u3068\u304b\u3089\u3001\u4eee\u306b\u6163\u6027\u7cfb\u3068\u7c92\u5b50\u304c\u3068\u3082\u306b\u5149\u901f\u3067\u904b\u52d5\u3057\u3066\u3044\u305f\u3068\u3057\u3066\u3082\u3001\u89b3\u6e2c\u8005\u304b\u3089\u898b\u3048\u308b\u901f\u5ea6\u304c\u5149\u901f\u3092\u8d85\u3048\u308b\u3053\u3068\u306f\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u9759\u6b62\u7cfb\u306b\u5bfe\u3057\u3066\u901f\u5ea6$v_1$\u3067\u904b\u52d5\u3059\u308b\u6163\u6027\u7cfb\u3068\u3001\u305d\u306e\u6163\u6027\u7cfb\u3067\u901f\u5ea6$v_2$\u3067\u904b\u52d5\u3059\u308b\u7c92\u5b50\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u9759\u6b62\u7cfb\u304b\u3089\u898b\u305f\u3053\u306e\u7c92\u5b50\u306e\u901f\u5ea6$V=\\frac{dx}{dt}$\u3092\u6c42\u3081\u307e\u3059\u3002 \u901f\u5ea6$v_1$\u3067\u8d70\u308b\u8eca\u304b\u3089\u901f\u5ea6$v_2$ […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,10],"tags":[],"class_list":["post-351","post","type-post","status-publish","format-standard","hentry","category-9","category-10"],"_links":{"self":[{"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/posts\/351","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=351"}],"version-history":[{"count":6,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/posts\/351\/revisions"}],"predecessor-version":[{"id":1598,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=\/wp\/v2\/posts\/351\/revisions\/1598"}],"wp:attachment":[{"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=351"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=351"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/daba-no-heya.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}