{"id":1147,"date":"2022-01-18T17:33:26","date_gmt":"2022-01-18T08:33:26","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=1147"},"modified":"2022-01-19T10:08:39","modified_gmt":"2022-01-19T01:08:39","slug":"%e7%89%b9%e6%ae%8a%e7%9b%b8%e5%af%be%e8%ab%96%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e9%81%8b%e5%8b%95%e3%81%97%e3%81%a6%e3%81%84%e3%82%8b%e6%99%82%e8%a8%88%e3%81%ae%e9%81%85%e3%82%8c%e3%81%ae%e3%81%8a","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e6%99%82%e9%96%93%e3%81%ae%e9%80%b2%e3%81%bf%e6%96%b9\/%e7%89%b9%e6%ae%8a%e7%9b%b8%e5%af%be%e8%ab%96%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e9%81%8b%e5%8b%95%e3%81%97%e3%81%a6%e3%81%84%e3%82%8b%e6%99%82%e8%a8%88%e3%81%ae%e9%81%85%e3%82%8c%e3%81%ae%e3%81%8a\/","title":{"rendered":"\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306b\u304a\u3051\u308b\u904b\u52d5\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9045\u308c\u306e\u304a\u3055\u3089\u3044"},"content":{"rendered":"

<\/p>\n

\u904b\u52d5\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9045\u308c\u306e\u304a\u3055\u3089\u3044<\/h3>\n

\u7279\u6b8a\u76f8\u5bfe\u8ad6<\/strong><\/span>\u306b\u304a\u3051\u308b\u300c\u904b\u52d5\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9045\u308c<\/a>\u300d\u30da\u30fc\u30b8\u306e\u5185\u5bb9\u306e\u304a\u3055\u3089\u3044\u3002\\(c = 1\\) \u3068\u3059\u308b\u3002<\/p>\n

4\u5143\u901f\u5ea6 \\(\\boldsymbol{u}\\) \u306e\uff08\u9759\u6b62\uff09\u89b3\u6e2c\u8005 \\(A\\) \u306b\u5bfe\u3057\u3066\uff0c\u901f\u3055 \\(V\\) \u3067 \\(\\boldsymbol{e}\\) \u65b9\u5411\u306b\u904b\u52d5\u3057\u3066\u3044\u308b4\u5143\u901f\u5ea6 \\(\\bar{\\boldsymbol{u}}\\) \u306e\u89b3\u6e2c\u8005 \\(B\\) \u306e\u6642\u8a08\u304c \\(T_0\\) \u3060\u3051\u6642\u3092\u523b\u3080\u3002\u3053\u306e\u540c\u3058\u73fe\u8c61\u30924\u5143\u901f\u5ea6 \\(\\boldsymbol{u}\\) \u306e\u89b3\u6e2c\u8005 \\(A\\) \u304c\u6e2c\u5b9a\u3059\u308b\u3068\uff0c\\(A\\) \u304c\u6e2c\u5b9a\u3059\u308b\u6642\u9593 \\(T\\) \u306f
$$ T =\u00a0 – T_0\\, \\bar{\\boldsymbol{u}}\\cdot\\boldsymbol{u}$$
\n\u3068\u306a\u308b\u30024\u5143\u901f\u5ea6\u306e\u5408\u6210\u5247<\/strong><\/span><\/a><\/p>\n

$$\\bar{\\boldsymbol{u}} = \\frac{\\boldsymbol{u} + V \\boldsymbol{e}}{\\sqrt{1 – V^2}}$$<\/p>\n

\u3092\u4f7f\u3046\u3068\uff0c
\\begin{eqnarray} T &=& – T_0\\, \\frac{1}{\\sqrt{1-V^2}} \\left(\\boldsymbol{u} + V \\boldsymbol{e}\\right) \\cdot \\boldsymbol{u}\\\\
&=& \\frac{T_0}{\\sqrt{1-V^2}} \\quad(\\because \\\u00a0 \\boldsymbol{u} \\cdot\\boldsymbol{u} = -1, \\ \\boldsymbol{e} \\cdot \\boldsymbol{u}\u00a0 = 0)
\n\\end{eqnarray}<\/p>\n

\u3057\u305f\u304c\u3063\u3066\uff0c$$T_0 = T \\sqrt{1-V^2}, \\quad \\therefore\u00a0 T_0 < T$$
\u3068\u306a\u308a\uff0c\u89b3\u6e2c\u8005 \\(A\\) \u304b\u3089\u307f\u308b\u3068\u904b\u52d5\u3057\u3066\u3044\u308b\u89b3\u6e2c\u8005 \\(B\\) \u306e\u6642\u8a08\u304c\u3086\u3063\u304f\u308a\u9032\u3093\u3067\u3044\u308b\u3088\u3046\u306b\u307f\u3048\u308b\u3002<\/p>\n

\u30ad\u30e2\u3068\u306a\u308b\u306e\u306f\uff0c\u30ed\u30fc\u30ec\u30f3\u30c4\u56e0\u5b50<\/strong><\/span> \\(\\gamma\\) \u304c\u4e8c\u4eba\u306e\u89b3\u6e2c\u8005\u306e4\u5143\u901f\u5ea6\u306e\u5185\u7a4d\u3067\u8868\u3055\u308c\u308b\u3053\u3068\uff0c\u3064\u307e\u308a<\/p>\n

$$\\gamma \\equiv \\frac{1}{\\sqrt{1 – V^2}} = – \\bar{\\boldsymbol{u}}\\cdot\\boldsymbol{u}$$<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"parent":103,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-1147","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t