{"id":3520,"date":"2022-08-24T17:12:36","date_gmt":"2022-08-24T08:12:36","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=3520"},"modified":"2023-03-14T16:52:21","modified_gmt":"2023-03-14T07:52:21","slug":"%e6%a8%aa%e3%83%89%e3%83%83%e3%83%97%e3%83%a9%e3%83%bc%e5%8a%b9%e6%9e%9c%e3%82%92%e5%88%a5%e3%81%ae%e7%ab%8b%e5%a0%b4%e3%81%8b%e3%82%89%e3%81%bf%e3%82%8b%e3%81%a8%e3%80%8c%e7%9c%9f%e6%a8%aa%e3%80%8d","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/3520\/","title":{"rendered":"\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u3092\u5225\u306e\u7acb\u5834\u304b\u3089\u307f\u308b\u3068\u300c\u771f\u6a2a\u300d\u3067\u306f\u306a\u3044\u3068\u3044\u3046\u8a71"},"content":{"rendered":"

\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306b\u304a\u3044\u3066\u306f\uff0c\u5149\u6e90\u30fb\u89b3\u6e2c\u8005\u9593\u306e\u76f8\u5bfe\u901f\u5ea6\u304c\u30bc\u30ed\u306e\u77ac\u9593\u3067\u3042\u3063\u3066\u3082\uff0c\u89b3\u6e2c\u3055\u308c\u308b\u5149\u306e\u632f\u52d5\u6570\u306e\u5909\u5316\u304c\u8d77\u3053\u308b\u3002\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7279\u6709\u306e\u3053\u306e\u52b9\u679c\u306f\u300c\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c<\/strong><\/span>\u300d\u3068\u547c\u3070\u308c\u308b\u3002\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u306e\u539f\u56e0\u3068\u3057\u3066\u306f\uff0c\u5149\u6e90\u306e\u6642\u9593\u306e\u9032\u307f\u65b9\u304c\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u306b\u3088\u3063\u3066\u9045\u308c\u308b\u304b\u3089\u3060\uff0c\u306a\u3069\u3068\u3044\u3046\u8aac\u660e\u304c\u3042\u308b\u304c…<\/p>\n

<\/p>\n

\u89b3\u6e2c\u8005\u304c\u52d5\u304f\u5834\u5408<\/h3>\n

\u5149\u6e90\u304c\u9759\u6b62\u3057\uff0c\u89b3\u6e2c\u8005\u304c\u904b\u52d5\u3059\u308b\u5834\u5408\u3092\u4f8b\u306b\uff0c\u5225\u30da\u30fc\u30b8<\/a>\u306b\u66f8\u3044\u305f\u5185\u5bb9\u3092\u304a\u3055\u3089\u3044\u3059\u308b\u3068\uff0c\u5149\u6e90\u9759\u6b62\u7cfb\u3067\u306e\u632f\u52d5\u6570\u3092 \\(\\omega_0\\) \uff0c\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u304c\u6e2c\u5b9a\u3059\u308b\u632f\u52d5\u6570\u3092 \\(\\omega_{\\rm obs}\\) \u3068\u8868\u8a18\u3059\u308b\u3068
$$\\omega_{\\rm obs} = \\omega_0 \\frac{\\sqrt{1-V^2}}{1+V \\cos\\bar{\\theta}}$$<\/p>\n

\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c<\/strong><\/span>\u3068\u306f\uff0c\u89b3\u6e2c\u8005\u306b\u3068\u3063\u3066\u771f\u6a2a<\/strong><\/span> $\\displaystyle \\bar{\\theta} = \\frac{\\pi}{2}$ \u304b\u3089\u304f\u308b\u5149\u306b\u5bfe\u3057\u3066<\/p>\n

$$ \\omega_{\\rm obs} = \\omega_0 {\\sqrt{1-V^2}}\u00a0 < \\omega_0$$<\/p>\n

\u3068\u306a\u308a\uff0c\u5149\u6e90\u30fb\u89b3\u6e2c\u8005\u9593\u306e\u76f8\u5bfe\u901f\u5ea6\u306f\u3053\u306e\u77ac\u9593\u30bc\u30ed\uff08\u5149\u6e90\u306b\u5411\u304b\u3046\u3042\u308b\u3044\u306f\u96e2\u308c\u308b\u901f\u5ea6\u6210\u5206\u304c\u30bc\u30ed\uff09\u3067\u3042\u308b\u304c\uff0c\u632f\u52d5\u6570\u306e\u5909\u5316\u304c\u8d77\u3053\u308b\u73fe\u8c61\u3067\u3042\u308b\u3002<\/p>\n

 <\/p>\n

\"\"<\/p>\n

\u3053\u306e\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u304c\u8d77\u3053\u3063\u305f\u72b6\u6cc1\u3092\uff0c\u5149\u6e90\u9759\u6b62\u7cfb\u3067\u307f\u308b\u3068\uff0c\u3069\u3046\u306a\u308b\u304b\u3002<\/p>\n

\u300c\u5149\u884c\u5dee<\/a>\u300d\u306e\u30da\u30fc\u30b8\u3067\u5c0e\u3044\u305f\u3088\u3046\u306b\uff0c\u5149\u6e90\u9759\u6b62\u7cfb\u3067\u307f\u305f\u6642\u306e\u5149\u306e\u89d2\u5ea6 $\\theta$ \u306f $\\bar{\\theta}$ \u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u95a2\u4fc2\u304c\u3042\u308b\u3002<\/p>\n

$$\\cos \\bar{\\theta} = \\frac{\\cos\\theta -V}{1 – V\\cos\\theta} \\tag{1}$$<\/p>\n

\u5f93\u3063\u3066 $\\displaystyle \\cos\\bar{\\theta} = \\cos\\frac{\\pi}{2} = 0$ \u306e\u6642\u306e $\\theta$\u00a0 \u306f<\/p>\n

$$\\cos\\theta = V, \\quad \\therefore\\ \\ 0 < \\theta < \\frac{\\pi}{2} $$<\/p>\n

\u3068\u306a\u308b\u3002<\/p>\n

\u5149\u306e\u5165\u5c04\u89d2 $\\varTheta = \\pi – \\theta$ \u3067\u8868\u3059\u3068<\/p>\n

\"\"<\/p>\n

$$ \\frac{\\pi}{2} < \\varTheta < \\pi$$<\/p>\n

\u3068\u306a\u308a\uff0c\u5149\u6e90\u9759\u6b62\u7cfb\u304b\u3089\u307f\u308b\u3068\u300c\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u300d\u3092\u8d77\u3053\u3057\u3066\u3044\u308b\u5149\u306f\u904b\u52d5\u89b3\u6e2c\u8005\u306e\u5f8c\u65b9\u304b\u3089\u5165\u5c04\u3057\u3066\u3044\u308b\u3068\u898b\u3048\u308b\u3002<\/p>\n

\u300c\u771f\u6a2a<\/strong><\/span>\u300d\u304b\u3089\u306e\u5149\u3067\u306f\u306a\u304f\u3066\uff0c\u5f8c\u65b9\u304b\u3089\u306e\u5149\u3092\u9060\u3056\u304b\u308a\u306a\u304c\u3089\u898b\u3066\u3044\u308b\u306e\u3060\u304b\u3089\uff0c\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u3067\u632f\u52d5\u6570\u304c\u5c0f\u3055\u304f\u306a\u308b\u306e\u306f\u5f53\u7136\u3060\u3088\u306d<\/strong><\/span>\uff0c\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n

\u5149\u6e90\u304c\u52d5\u304f\u5834\u5408<\/h3>\n

$$\\omega_{\\rm obs} = \\omega_0 \\frac{\\sqrt{1-V^2}}{1-V \\cos{\\theta}}$$<\/p>\n

 <\/p>\n

\"\"<\/p>\n

\u89b3\u6e2c\u8005\u306b\u3068\u3063\u3066\u771f\u6a2a<\/strong><\/span> $\\displaystyle {\\theta} = \\frac{\\pi}{2}$ \u304b\u3089\u304f\u308b\u5149\u306b\u5bfe\u3057\u3066<\/p>\n

$$ \\omega_{\\rm obs} = \\omega_0 {\\sqrt{1-V^2}}\u00a0 < \\omega_0$$<\/p>\n

\u3068\u306a\u308a\uff0c\u5149\u6e90\u30fb\u89b3\u6e2c\u8005\u9593\u306e\u76f8\u5bfe\u901f\u5ea6\u306f\u3053\u306e\u77ac\u9593\u30bc\u30ed\u3067\u3042\u308b\u304c\uff0c\u632f\u52d5\u6570\u306e\u5909\u5316\u304c\u8d77\u3053\u308b\u3002<\/p>\n

\u3053\u308c\u3092\u5149\u6e90\u9759\u6b62\u7cfb\u3067\u307f\u308b\u3068\uff0c$\\displaystyle \\cos{\\theta} = \\cos\\frac{\\pi}{2} = 0$ \u306e\u6642\u306e $\\bar{\\theta}$\u00a0 \u306f $(1)$ \u5f0f\u304b\u3089<\/p>\n

$$\\cos\\bar{\\theta} = -V, \\quad \\therefore\\ \\ \\bar{\\theta} > \\frac{\\pi}{2} $$<\/p>\n

\u3068\u306a\u308b\u3002<\/p>\n

\u5149\u306e\u5165\u5c04\u89d2 $\\bar{\\varTheta} = \\pi – \\bar{\\theta}$ \u3067\u8868\u3059\u3068<\/p>\n

\"\"$$ 0< \\bar{\\varTheta} < \\frac{\\pi}{2}$$<\/p>\n

\u3068\u306a\u308a\uff0c\u5149\u6e90\u9759\u6b62\u7cfb\u304b\u3089\u307f\u308b\u3068\u300c\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c<\/strong><\/span>\u300d\u3092\u8d77\u3053\u3057\u3066\u3044\u308b\u5149\u306f\uff0c\u904b\u52d5\u5149\u6e90\u304c\u89b3\u6e2c\u8005\u304b\u3089\u9060\u3056\u304b\u308a\u306a\u304c\u3089\u653e\u51fa\u3057\u305f\u5149\u304c\u89b3\u6e2c\u8005\u306b\u5c4a\u3044\u3066\u3044\u308b\u3068\u898b\u3048\u308b\u3002<\/p>\n

\u300c\u771f\u6a2a<\/strong><\/span>\u300d\u304b\u3089\u306e\u5149\u3067\u306f\u306a\u304f\u3066\uff0c\u9060\u3056\u304b\u308b\u5149\u6e90\u304b\u3089\u306e\u5149\u3092\u898b\u3066\u3044\u308b\u306e\u3060\u304b\u3089\uff0c\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u3067\u632f\u52d5\u6570\u304c\u5c0f\u3055\u304f\u306a\u308b\u306e\u306f\u5f53\u7136\u3060\u3088\u306d<\/strong><\/span>\uff0c\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n

\u6559\u8a13\uff1a<\/h3>\n

\u89b3\u6e2c\u8005\u304b\u3089\u307f\u3066\u300c\u771f\u6a2a\u300d\u3067\u3082\uff0c\u5149\u6e90\u9759\u6b62\u7cfb\u3067\u306f\u300c\u771f\u6a2a\u300d\u3067\u306f\u306a\u3044\u3002\u307e\u3042\uff0c\u3053\u3046\u3044\u3046\u898b\u65b9\u3082\u3067\u304d\u308b\uff0c\u3068\u3044\u3046\u3053\u3068\u3067\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306b\u304a\u3044\u3066\u306f\uff0c\u5149\u6e90\u30fb\u89b3\u6e2c\u8005\u9593\u306e\u76f8\u5bfe\u901f\u5ea6\u304c\u30bc\u30ed\u306e\u77ac\u9593\u3067\u3042\u3063\u3066\u3082\uff0c\u89b3\u6e2c\u3055\u308c\u308b\u5149\u306e\u632f\u52d5\u6570\u306e\u5909\u5316\u304c\u8d77\u3053\u308b\u3002\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7279\u6709\u306e\u3053\u306e\u52b9\u679c\u306f\u300c\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u300d\u3068\u547c\u3070\u308c\u308b\u3002\u6a2a\u30c9\u30c3\u30d7\u30e9\u30fc\u52b9\u679c\u306e\u539f\u56e0\u3068\u3057\u3066\u306f\uff0c\u5149\u6e90\u306e\u6642\u9593\u306e\u9032\u307f\u65b9\u304c\u7279\u6b8a\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u306b\u3088\u3063\u3066\u9045\u308c\u308b\u304b\u3089\u3060\uff0c\u306a\u3069\u3068\u3044\u3046\u8aac\u660e\u304c\u3042\u308b\u304c…<\/p>

\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[20],"tags":[],"class_list":["post-3520","post","type-post","status-publish","format-standard","hentry","category-rel-cosmo","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/3520","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=3520"}],"version-history":[{"count":16,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/3520\/revisions"}],"predecessor-version":[{"id":3591,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/3520\/revisions\/3591"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=3520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=3520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=3520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}