{"id":1221,"date":"2023-12-27T15:50:33","date_gmt":"2023-12-27T06:50:33","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=1221"},"modified":"2024-07-08T12:27:39","modified_gmt":"2024-07-08T03:27:39","slug":"%e5%86%86%e8%bb%8c%e9%81%93%e4%b8%8a%e3%82%92%e9%81%8b%e5%8b%95%e3%81%99%e3%82%8b%e6%99%82%e8%a8%88%e3%81%ae%e9%80%b2%e3%81%bf%e6%96%b9","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\/%e5%86%86%e8%bb%8c%e9%81%93%e4%b8%8a%e3%82%92%e9%81%8b%e5%8b%95%e3%81%99%e3%82%8b%e6%99%82%e8%a8%88%e3%81%ae%e9%80%b2%e3%81%bf%e6%96%b9\/","title":{"rendered":"\u5186\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u306e\u6642\u9593\u306e\u9032\u307f\u65b9"},"content":{"rendered":"<p><!--more--><\/p>\n<p><span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a<\/strong><\/span>\u306b\u304a\u3044\u3066\uff0c<\/p>\n<ul>\n<li>\\(r = r_1 (=R)\\) \uff08\u5730\u4e0a\u3092\u60f3\u5b9a\uff09\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 \\(\\varDelta \\tau_1\\)<\/li>\n<li>\u4e0a\u7a7a\u3092\u534a\u5f84 \\(r (&gt; R)\\) \u306e\u5186\u8ecc\u9053\u3092\u63cf\u3044\u3066\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 \\(\\varDelta \\bar{\\tau}\\)<\/li>\n<li>\u52d5\u5f84\u5ea7\u6a19 \\(r\\)\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 \\(\\varDelta \\tau\\)<\/li>\n<\/ul>\n<p>\u3068\u3059\u308b\u3002<\/p>\n<p>\u3053\u306e\u3068\u304d\uff0c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u534a\u5f84 \\(r (&gt; R)\\) \u306e\u5186\u8ecc\u9053\u3092\u63cf\u3044\u3066\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9032\u307f \\(\\varDelta \\bar{\\tau}\\)<\/strong> <\/span>\u3068\uff0c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u5730\u4e0a \\(r = r_1 ( = R)\\) \u306b\u9759\u6b62\u3057\u7d9a\u3051\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f<\/strong><\/span> \\(\\varDelta \\tau_1\\) \u306e\u6bd4 \\(\\displaystyle \\frac{\\varDelta \\bar{\\tau}}{\\varDelta \\tau_1}\\) \u306f\u3069\u3046\u306a\u308b\u304b\uff0c\u3068\u3044\u3046\u8a71\u3002<\/p>\n<h3><span id=\"i\">\u7570\u306a\u308b\u5730\u70b9\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u306e\u6bd4<\/span><\/h3>\n<p>\u307e\u305a\uff0c \u7570\u306a\u308b\u5730\u70b9\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u65b9\u306e\u6bd4\u306f\uff0c<a href=\"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\/%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e7%95%b0%e3%81%aa%e3%82%8b%e5%9c%b0%e7%82%b9%e3%81%a7%e3%81%ae%e6%99%82%e9%96%93%e3%81%ae%e9%80%b2%e3%81%bf%e6%96%b9\/#i-2\">\u65e2\u306b\u8aac\u660e\u3057\u305f\u3088\u3046\u306b<\/a><\/p>\n<p>$$\\frac{\\varDelta \\tau}{\\varDelta \\tau_1} = \\frac{\\sqrt{1 &#8211; \\frac{r_g}{r}}}{\\sqrt{1 &#8211; \\frac{r_g}{r_1}}} $$<\/p>\n<h3><span id=\"i-2\">\u30ed\u30fc\u30ec\u30f3\u30c4\u56e0\u5b50<\/span><\/h3>\n<p>\u6b21\u306b\uff0c\u540c\u3058\u52d5\u5f84\u5ea7\u6a19 \\(r\\) \u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f \\(\\varDelta \\tau\\) \u3068\uff0c\u901f\u3055 \\(V\\) \u3067\u904b\u52d5\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f \\(\\varDelta \\bar{\\tau}\\) \u306f\uff0c\u7279\u6b8a\u76f8\u5bfe\u8ad6\u306e\u5834\u5408\u3068\u540c\u69d8\u306b\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u72b6\u6cc1\u4e0b\u306b\u304a\u3044\u3066\u3082\uff0c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u30ed\u30fc\u30ec\u30f3\u30c4\u56e0\u5b50<\/strong><\/span>\u306e\u9006\u6570\u3067\u3042\u308b \\(\\sqrt{1 &#8211; V^2}\\) \u3060\u3051\u7570\u306a\u308b\u306f\u305a\u3067\u3042\u308b\u3002\uff08\\(c = 1\\)\uff09<\/p>\n<p><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e3%83%86%e3%82%b9%e3%83%88%e7%b2%92%e5%ad%90%e3%81%ae%e9%81%8b%e5%8b%95\/%e5%86%86%e9%81%8b%e5%8b%95\/#4\">\u9759\u6b62\u89b3\u6e2c\u8005\u304b\u3089\u307f\u305f\uff0c\u5186\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u306b\u95a2\u3059\u308b<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u30ed\u30fc\u30ec\u30f3\u30c4\u56e0\u5b50<\/strong><\/span><\/a> \\(\\gamma\\) \u306f<\/p>\n<p>$$\\gamma\\equiv \\frac{1}{\\sqrt{1-V^2}} =\u00a0 \\frac{\\sqrt{1 &#8211; \\frac{r_g}{r}}}{\\sqrt{1 &#8211; \\frac{3}{2}\\frac{r_g}{r}}}$$<\/p>\n<p>\u3067\u3042\u3063\u305f\u304b\u3089\uff0c<\/p>\n<p>$$ \\frac{\\varDelta \\bar{\\tau}} {\\varDelta \\tau} = \\sqrt{1 &#8211; V^2} = \\frac{\\sqrt{1 &#8211; \\frac{3}{2}\\frac{r_g}{r}}}{\\sqrt{1 &#8211; \\frac{r_g}{r}}}$$<\/p>\n<h3><span id=\"i-3\">\u9759\u6b62\u89b3\u6e2c\u8005\u304b\u3089\u307f\u305f\u5186\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9032\u307f<\/span><\/h3>\n<p>\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u6700\u7d42\u7684\u306b\u306f<\/p>\n<p>$$ \\frac{\\varDelta \\bar{\\tau}}{\\varDelta \\tau_1} = \\frac{\\varDelta \\tau}{\\varDelta \\tau_1} \\frac{\\varDelta \\bar{\\tau}} {\\varDelta \\tau} = \\frac{\\sqrt{1 &#8211; \\frac{r_g}{r}}}{\\sqrt{1 &#8211; \\frac{r_g}{r_1}}}\u00a0 \\frac{\\sqrt{1 &#8211; \\frac{3}{2}\\frac{r_g}{r}}}{\\sqrt{1 &#8211; \\frac{r_g}{r}}} =<br \/>\n\\frac{\\sqrt{1 &#8211; \\frac{3}{2}\\frac{r_g}{r}}}{\\sqrt{1 &#8211; \\frac{r_g}{r_1}}}\u00a0$$<\/p>\n<p><span id=\"yui_3_17_2_1_1642566654756_245\" class=\"filter_mathjaxloader_equation\">\u3053\u306e\u5f0f\u304b\u3089\u4e0a\u7a7a\u3092\u904b\u52d5\u3057\u3066\u3044\u308b\u4eba\u5de5\u885b\u661f\u3084\u56fd\u969b\u5b87\u5b99\u30b9\u30c6\u30fc\u30b7\u30e7\u30f3\u306e\u6642\u8a08\u306f\uff0c\u5730\u4e0a\u306e\u6642\u8a08\u3068\u6bd4\u3079\u3066\u5fc5\u305a\u3057\u3082\u9032\u3080\u3060\u3051\u3060\u3063\u305f\u308a\uff0c\u307e\u305f\u9045\u308c\u308b\u3060\u3051\u3060\u3063\u305f\u308a\u3067\u306f\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u4e0a\u8a18\u306b\u306f\uff0c\u3088\u308a\u4e0a\u7a7a\u306e\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u6d45\u3044\u5834\u6240\u306b\u3042\u308b\u3053\u3068\u306b\u3088\u308b\u6642\u8a08\u3092\u9032\u307e\u305b\u308b\u52b9\u679c\u3068\uff0c\u904b\u52d5\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u3088\u308a\u6642\u8a08\u3092\u9045\u308c\u3055\u305b\u308b\u52b9\u679c\u306e\u4e21\u65b9\u304c\u5165\u3063\u3066\u3044\u308b\u3002<\/span><\/p>\n<p>\\(r = r_1 \\gg r_g\\) \u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u89b3\u6e2c\u8005\u304b\u3089\u307f\u3066\u3044\u308b\u3068\uff0c\u5186\u8ecc\u9053\u306e\u534a\u5f84 \\(r\\) \u304c\u5c0f\u3055\u304f\u306a\u308c\u3070\u306a\u308b\u307b\u3069\uff0c\u3053\u306e\u5186\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9032\u307f \\(\\varDelta \\bar{\\tau}\\) \u306f\u5c0f\u3055\u304f\u30fb\u3086\u3063\u304f\u308a\u306b\u306a\u3063\u3066\u3044\u304d\uff0c\\(\\displaystyle r \\rightarrow \\frac{3}{2} r_g = \\frac{3GM}{c^2}\\) \u3067 \\(\\varDelta \\bar{\\tau} \\rightarrow 0\\) \u3068\u306a\u308b\u3002<\/p>\n<h3>Maxima-Jupyter \u306b\u3088\u308b\u8a08\u7b97\u4f8b<\/h3>\n<hr \/>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u5186\u8ecc\u9053\u3092\u63cf\u3044\u3066\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9032\u307f\">\u5186\u8ecc\u9053\u3092\u63cf\u3044\u3066\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9032\u307f<\/h3>\n<p>\u534a\u5f84 $r_1$\uff08\u5730\u4e0a\u3092\u60f3\u5b9a\uff09\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 $\\Delta t_1$\uff0c\u534a\u5f84 $r$ \uff08$r &gt; r_1$ \u3064\u307e\u308a\u4e0a\u7a7a\u3092\u60f3\u5b9a\uff09\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 $\\varDelta \\tau$\uff0c\u534a\u5f84 $r$ \u306e\u5186\u8ecc\u9053\u4e0a\u3092\u904b\u52d5\u3059\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 $\\varDelta \\bar{\\tau}$ \u3068\u3059\u308b\u3068\uff0c<br \/>\n$$\\frac{\\varDelta \\bar{\\tau}}{\\varDelta \\tau_1} =\u00a0 \\frac{\\sqrt{1 &#8211; \\frac{3}{2}\\frac{r_g}{r}}}{\\sqrt{1 &#8211; \\frac{r_g}{r_1}}}$$<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">Dtratio<\/span><span class=\"o\">:<\/span> <span class=\"nf\">sqrt<\/span><span class=\"p\">((<\/span>1<span class=\"o\">-<\/span>3<span class=\"o\">\/<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">rg<\/span><span class=\"o\">\/<\/span><span class=\"nv\">r<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span>1<span class=\"o\">-<\/span><span class=\"nv\">rg<\/span><span class=\"o\">\/<\/span><span class=\"nv\">r1<\/span><span class=\"p\">))<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[1]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{1}$}\\sqrt{\\frac{1-\\frac{3\\,{\\it rg}}{2\\,r}}{1-\\frac{{\\it rg}}{r_{1}}}}\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6642\u9593\u306e\u9032\u307f\u304c\u7b49\u3057\u304f\u306a\u308b\uff0c\u3064\u307e\u308a <code>Dtratio = 1<\/code> \u3068\u306a\u308b\u306e\u306f&#8230;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">solve<\/span><span class=\"p\">(<\/span><span class=\"nv\">Dtratio<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">r<\/span><span class=\"p\">)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[2]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{2}$}\\left[ r=\\frac{3\\,r_{1}}{2} \\right] \\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u5730\u7403\u4e0a\u7a7a ($r &gt; r_1$) \u3092\u5186\u8ecc\u9053\u3092\u63cf\u3044\u3066\u904b\u52d5\u3059\u308b\u7269\u4f53\u306e\u6642\u8a08\u306f\uff0c<br \/>\n$r_1 &lt; r &lt; \\frac{3}{2} r_1$ \u306a\u3089 $\\displaystyle \\frac{\\varDelta \\bar{\\tau}}{\\varDelta \\tau_1} = $ <code>Dtratio<\/code> $&lt; 1$ \u3064\u307e\u308a\u9045\u308c\u308b\u3002<br \/>\n\u307e\u305f\uff0c$\\frac{3}{2} r_1 &lt; r$ \u306a\u3089 <code>Dtratio<\/code> $&gt; 1$ \u3068\u306a\u308a\u9032\u3080\u3002<\/p>\n<p>$r$ \u306b\u3088\u3063\u3066\u6642\u8a08\u304c\uff08\u5730\u4e0a\u306b\u304f\u3089\u3079\u3066\uff09\u9032\u3093\u3060\u308a\u9045\u308c\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u3069\u3046\u7406\u89e3\u3059\u308b\u304b\uff1f<br \/>\n\u6642\u8a08\u306e\u9032\u307f\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u52b9\u679c\u306f\u6b21\u306e2\u3064\uff1a<\/p>\n<ul>\n<li>\u91cd\u529b\u8d64\u65b9\u504f\u79fb\u306b\u8d77\u56e0\u3059\u308b\u52b9\u679c<\/li>\n<li>\u904b\u52d5\u306b\u8d77\u56e0\u3059\u308b\u52b9\u679c<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3053\u3053\u307e\u3067\u306f\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u306b\u53b3\u5bc6\u3002\u30cb\u30e5\u30fc\u30c8\u30f3\u8fd1\u4f3c\u7b49\u306a\u3057\u3067\u53b3\u5bc6\u306b\u6210\u308a\u7acb\u3063\u3066\u3044\u308b\u3002<\/p>\n<p>\u5730\u7403\u306e\u91cd\u529b\u534a\u5f84 $r_g$ \u306f\u5730\u7403\u534a\u5f84 $r_1$ \u3084\u5186\u8ecc\u9053\u306e\u534a\u5f84 $r$ \u306b\u6bd4\u3079\u3066\u5c0f\u3055\u3044\u306e\u3067\uff0c$r_g$ \u306b\u3064\u3044\u30661\u6b21\u307e\u3067\u306e\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\u3092\u3068\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u56fd\u969b\u5b87\u5b99\u30b9\u30c6\u30fc\u30b7\u30e7\u30f3\u306e\u6642\u8a08\u306e\u9032\u307f\u65b9\">\u56fd\u969b\u5b87\u5b99\u30b9\u30c6\u30fc\u30b7\u30e7\u30f3\u306e\u6642\u8a08\u306e\u9032\u307f\u65b9<\/h3>\n<p>\u56fd\u969b\u5b87\u5b99\u30b9\u30c6\u30fc\u30b7\u30e7\u30f3 ISS \u306e\u6642\u8a08\u306f\uff0c\u5730\u4e0a\u306e\u6642\u8a08\u306b\u6bd4\u3079\u3066\u3069\u308c\u3060\u3051\u9032\u307f\u65b9\u304c\u9055\u3046\uff1f<br \/>\n\u5b87\u5b99\u30b9\u30c6\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u6642\u9593\u304c\u3069\u306e\u304f\u3089\u3044\u9045\u308c\u308b\u306e\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n<p>\u5730\u7403\u306e\u307e\u308f\u308a\u306e\u904b\u52d5\u3092\u8003\u3048\u308b\u5834\u5408\u306f\uff0c\u5730\u7403\u306e\u91cd\u529b\u534a\u5f84 $r_g$ \u304c\u5730\u7403\u534a\u5f84\u306b\u6bd4\u3079\u3066\u6975\u3081\u3066\u5c0f\u3055\u3044\u3053\u3068\u304b\u3089\uff0c\u6570\u5024\u7684\u8a55\u4fa1\u3092\u3059\u308b\u969b\u306b\u306f $r_g$ \u306e1\u6b21\u307e\u3067\u306e\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\u3067\u5341\u5206\u7cbe\u5ea6\u304c\u3042\u308b\u3068\u8a00\u3048\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">Dtratio1<\/span><span class=\"o\">:<\/span> <span class=\"nf\">taylor<\/span><span class=\"p\">(<\/span><span class=\"nv\">Dtratio<\/span>, <span class=\"nv\">rg<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[3]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{3}$}1-\\frac{\\left(3\\,r_{1}-2\\,r\\right)\\,{\\it rg}}{4\\,r\\,r_{1}}\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">delta<\/span><span class=\"o\">:<\/span> <span class=\"nv\">Dtratio1<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[4]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{4}$}\\frac{\\left(2\\,r-3\\,r_{1}\\right)\\,{\\it rg}}{4\\,r\\,r_{1}}\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5730\u7403\u534a\u5f84 *\/<\/span>\r\n<span class=\"nv\">r1<\/span><span class=\"o\">:<\/span> 6378<span class=\"nv\">E3<\/span>;\r\n\r\n<span class=\"nv\">G<\/span><span class=\"o\">:<\/span> 6<span class=\"o\">.<\/span>674<span class=\"nv\">E<\/span><span class=\"o\">-<\/span>11$\r\n<span class=\"cm\">\/* \u5730\u7403\u8cea\u91cf *\/<\/span>\r\n<span class=\"nv\">M<\/span><span class=\"o\">:<\/span> 5<span class=\"o\">.<\/span>972<span class=\"nv\">E24<\/span>$\r\n<span class=\"cm\">\/* \u5149\u901f *\/<\/span>\r\n<span class=\"nv\">c<\/span><span class=\"o\">:<\/span> 299792458$\r\n<span class=\"cm\">\/* \u5730\u7403\u306e\u91cd\u529b\u534a\u5f84 *\/<\/span>\r\n<span class=\"nv\">rg<\/span><span class=\"o\">:<\/span> 2<span class=\"o\">*<\/span><span class=\"nv\">G<\/span><span class=\"o\">*<\/span><span class=\"nv\">M<\/span><span class=\"o\">\/<\/span><span class=\"nv\">c<\/span><span class=\"o\">**<\/span>2$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[5]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{5}$}6378000.0\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* ISS \u306e\u8ecc\u9053\u534a\u5f84\uff0c\u7d04410km\u4e0a\u7a7a *\/<\/span>\r\n<span class=\"nv\">r<\/span><span class=\"o\">:<\/span> <span class=\"nv\">r1<\/span> <span class=\"o\">+<\/span> 410<span class=\"o\">.<\/span>0<span class=\"nv\">E3<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[6]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{10}$}6788000.0\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>1\u79d2\u3042\u305f\u308a\u306e\u6642\u8a08\u306e\u9032\u307f\u306e\u9055\u3044\u304c <code>delta<\/code> \u3067\u3042\u308b\u304b\u3089\uff0c1\u5e74\u3042\u305f\u308a\u306b\u3059\u308b\u306b\u306f\u79d2\u6570\u3092\u304b\u3051\u3066\uff0c<code>float()<\/code> \u95a2\u6570\u3067\u5c0f\u6570\u70b9\u8868\u793a\u3057\u3066&#8230;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u6709\u52b9\u6841\u3092 2\u6841\u304f\u3089\u3044\u3067\u8868\u793a\u3055\u305b\u308b *\/<\/span>\r\n<span class=\"nv\">fpprintprec<\/span><span class=\"o\">:<\/span> 2$\r\n<span class=\"nv\">ans<\/span><span class=\"o\">:<\/span> <span class=\"nf\">ev<\/span><span class=\"p\">(<\/span><span class=\"nv\">delta<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span>60<span class=\"o\">*<\/span>60<span class=\"o\">*<\/span>24<span class=\"o\">*<\/span><span class=\"mf\">365.25<\/span>, <span class=\"nv\">float<\/span>$\r\n\r\n<span class=\"k\">if<\/span> <span class=\"nv\">ans<\/span> <span class=\"o\">&gt;<\/span> <span class=\"mi\">0<\/span> <span class=\"k\">then<\/span>\r\n    <span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"s\">\"ISS \u306e\u6642\u8a08\u306f 1 \u5e74\u3042\u305f\u308a\"<\/span>, <span class=\"nf\">abs<\/span><span class=\"p\">(<\/span><span class=\"nv\">ans<\/span><span class=\"p\">)<\/span>, <span class=\"s\">\"\u79d2 \u9032\u3080\u3002\"<\/span><span class=\"p\">)<\/span>\r\n  <span class=\"k\">else<\/span>\r\n    <span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"s\">\"ISS \u306e\u6642\u8a08\u306f 1 \u5e74\u3042\u305f\u308a\"<\/span>, <span class=\"nf\">abs<\/span><span class=\"p\">(<\/span><span class=\"nv\">ans<\/span><span class=\"p\">)<\/span>, <span class=\"s\">\"\u79d2 \u9045\u308c\u308b\u3002\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_latex output_subarea \">ISS \u306e\u6642\u8a08\u306f 1 \u5e74\u3042\u305f\u308a \\(0.009\\) \u79d2 \u9045\u308c\u308b\u3002<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u53c2\u8003\">\u53c2\u8003<\/h4>\n<p>\u672c\u7a3f\u57f7\u7b46\u6642\u70b9\uff082022\/01\/19\uff09\u306e\u95b2\u89a7\u3067\u306f\uff0cWikipedia \u306e\u4ee5\u4e0b\u306e\u65e5\u672c\u8a9e\u7248\u3068\u82f1\u8a9e\u7248\u3067 ISS \u306e\u6642\u9593\u306e\u30ba\u30ec\u304c\u5fae\u5999\u306b\u7570\u306a\u3063\u3066\u3044\u308b\u3088\u3046\u3067\u3042\u308b\u3002\u3044\u305a\u308c\u4fee\u6b63\u30fb\u5909\u66f4\u3055\u308c\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u306e\u3067\uff0c\u672c\u7a3f\u57f7\u7b46\u6642\u70b9\u3067\u306e\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8\u3092\u3064\u3051\u3066\u304a\u304f\u3002\uff08\u8ffd\u8a18\uff1a2023\/11\u6708\u6642\u70b9\u3067\u78ba\u8a8d\u3057\u305f\u3068\u3053\u308d\u3067\u306f\uff0c\u65e5\u672c\u8a9e\u7248\u304c\u3053\u3053\u3067\u8a08\u7b97\u3057\u305f\u3068\u304a\u308a\u306b\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>1\u5e74\u306b\u3064\u304d0.009\u79d2\u9045\u308c\u308b<\/strong><\/span>\u300d\u3068\u5909\u66f4\u3055\u308c\u3066\u3044\u308b\u3002\u5ff5\u306e\u305f\u3081\uff0c\u79c1\u304c Wikipedia \u306e\u6570\u5024\u3092\u7de8\u96c6\u3057\u305f\u306e\u3067\u306f\u306a\u3044\u3067\u3059\u3088\u3002\u82f1\u8a9e\u7248\u306e\u6570\u5024\u306f\u305d\u306e\u307e\u307e\u3002\uff09<\/p>\n<ul>\n<li><a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E6%99%82%E9%96%93%E3%81%AE%E9%81%85%E3%82%8C\" target=\"_blank\" rel=\"noopener\">\u6642\u9593\u306e\u9045\u308c &#8211; Wikipedia<\/a><\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Time_dilation\" target=\"_blank\" rel=\"noopener\">Time dilation &#8211; Wikipedia<\/a><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1233 alignnone\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/wikija-300x317.png\" alt=\"\" width=\"300\" height=\"317\" srcset=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/wikija-300x317.png 300w, https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/wikija.png 420w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1234 alignnone\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/wikien-300x359.png\" alt=\"\" width=\"300\" height=\"359\" srcset=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/wikien-300x359.png 300w, https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/wikien.png 419w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"GPS-\u885b\u661f\u306e\u6642\u8a08\u306e\u9032\u307f\u65b9\">GPS \u885b\u661f\u306e\u6642\u8a08\u306e\u9032\u307f\u65b9<\/h3>\n<p>GPS \u885b\u661f\u306e\u6642\u8a08\u306e\u9032\u307f\u306e\u305a\u308c\u306f1\u65e5\u3042\u305f\u308a\u3069\u308c\u304f\u3089\u3044\u306b\u306a\u308b\u304b\uff1f\u9045\u308c\u308b\uff1f\u305d\u308c\u3068\u3082\u9032\u3080\uff1f<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* GPS \u885b\u661f\u306e\u8ecc\u9053\u534a\u5f84\u3002\u9ad8\u5ea6 20,200 km *\/<\/span>\r\n<span class=\"nv\">r<\/span><span class=\"o\">:<\/span> <span class=\"nv\">r1<\/span> <span class=\"o\">+<\/span> 20200<span class=\"nv\">E3<\/span>$\r\n<span class=\"cm\">\/* 1\u79d2\u3042\u305f\u308a\u306e\u30aa\u30d5\u30bb\u30c3\u30c8\u306f *\/<\/span>\r\n<span class=\"nv\">fpprintprec<\/span><span class=\"o\">:<\/span> 0$\r\n<span class=\"nf\">ev<\/span><span class=\"p\">(<\/span><span class=\"nv\">delta<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">float<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[8]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{16}$}4.450282987909475 \\times 10^{-10}\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* 1\u65e5\u3042\u305f\u308a\u306b\u3059\u308b\u3068 *\/<\/span>\r\n<span class=\"nv\">fpprintprec<\/span><span class=\"o\">:<\/span> 4$\r\n<span class=\"nv\">ans<\/span><span class=\"o\">:<\/span> <span class=\"nf\">ev<\/span><span class=\"p\">(<\/span><span class=\"nv\">delta<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span>60<span class=\"o\">*<\/span>60<span class=\"o\">*<\/span><span class=\"mi\">24<\/span>, <span class=\"nv\">float<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[10]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"k\">if<\/span> <span class=\"nv\">ans<\/span> <span class=\"o\">&gt;<\/span> <span class=\"mi\">0<\/span> <span class=\"k\">then<\/span>\r\n    <span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"s\">\"GPS \u885b\u661f\u306e\u6642\u8a08\u306f 1 \u65e5\u3042\u305f\u308a\"<\/span>, <span class=\"nf\">abs<\/span><span class=\"p\">(<\/span><span class=\"nv\">ans<\/span><span class=\"p\">)<\/span>, <span class=\"s\">\"\u79d2 \u9032\u3080\u3002\"<\/span><span class=\"p\">)<\/span>\r\n  <span class=\"k\">else<\/span>\r\n    <span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"s\">\"GPS \u885b\u661f\u306e\u6642\u8a08\u306f 1 \u65e5\u3042\u305f\u308a\"<\/span>, <span class=\"nf\">abs<\/span><span class=\"p\">(<\/span><span class=\"nv\">ans<\/span><span class=\"p\">)<\/span>, <span class=\"s\">\"\u79d2 \u9045\u308c\u308b\u3002\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_latex output_subarea \">GPS \u885b\u661f\u306e\u6642\u8a08\u306f 1 \u65e5\u3042\u305f\u308a \\(3.845 \\times 10^{-5}\\) \u79d2 \u9032\u3080\u3002<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u5730\u7403\u306e\u81ea\u8ee2\u306b\u3088\u308b\u52b9\u679c\">\u5730\u7403\u306e\u81ea\u8ee2\u306b\u3088\u308b\u52b9\u679c<\/h3>\n<p>\u5730\u4e0a\u306b\u8a2d\u7f6e\u3057\u305f\u6642\u8a08\u306f\uff0c\u5730\u7403\u306e\u81ea\u8ee2\u306b\u3088\u308a\u5730\u8ef8\u306e\u5468\u308a\u3092\u5186\u8ecc\u9053\u3092\u63cf\u3044\u3066\u904b\u52d5\u3059\u308b\u3002\u3053\u306e\u81ea\u8ee2\u306b\u3088\u308b\u901f\u3055\u304c\u6700\u5927\u3068\u306a\u308b\u306e\u306f\u8d64\u9053\u3067\uff0c\u305d\u306e\u5024\u3092 $V_e$ \u3068\u3059\u308b\u3068\uff0c<br \/>\n\u81ea\u8ee2\u901f\u5ea6\u306b\u3088\u308b\u6642\u9593\u306e\u9032\u307f\u306e\u5909\u5316\u306f\uff0c$\\displaystyle \\sqrt{1-\\left(\\frac{V_e}{c}\\right)^2}$ \u306e\u3088\u3046\u306a\u9805\u3068\u3057\u3066\u73fe\u308c\u308b\u3002$\\displaystyle \\left(\\frac{V_e}{c}\\right)^2$ \u306e\u90e8\u5206\u3092\u6570\u5024\u7684\u306b\u3042\u305f\u3063\u3066\u307f\u308b\u3068\uff0c<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">fpprintprec<\/span><span class=\"o\">:<\/span> 0$\r\n<span class=\"nv\">Ve<\/span><span class=\"o\">:<\/span> <span class=\"nf\">float<\/span><span class=\"p\">(<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">*<\/span><span class=\"nv\">r1<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span>24<span class=\"o\">*<\/span>60<span class=\"o\">*<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>;\r\n<span class=\"p\">(<\/span><span class=\"nv\">Ve<\/span><span class=\"o\">\/<\/span><span class=\"nv\">c<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[11]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{21}$}463.8212487174931\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[11]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{22}$}2.393645743040008 \\times 10^{-12}\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3068\u306a\u308a\uff0cISS \u3084 GPS \u885b\u661f\u306e\u52b9\u679c ($\\sim 10^{-10}$) \u3088\u308a\u30822\u6841\u5c0f\u3055\u3044\u306e\u3067\uff0c\u307e\u3041\u7121\u8996\u3057\u3066\u826f\u3044\u3067\u3042\u308d\u3046\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"parent":103,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-1221","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u306b\u304a\u3044\u3066\uff0c \\(r = r_1 (=R)\\) \uff08\u5730\u4e0a\u3092\u60f3\u5b9a\uff09\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 \\\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"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\/%e5%86%86%e8%bb%8c%e9%81%93%e4%b8%8a%e3%82%92%e9%81%8b%e5%8b%95%e3%81%99%e3%82%8b%e6%99%82%e8%a8%88%e3%81%ae%e9%80%b2%e3%81%bf%e6%96%b9\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.0.1\" \/>\n\t\t<meta property=\"og:locale\" content=\"ja_JP\" \/>\n\t\t<meta property=\"og:site_name\" content=\"\u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba -\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\u5186\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u306e\u6642\u9593\u306e\u9032\u307f\u65b9 - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba\" \/>\n\t\t<meta property=\"og:description\" content=\"\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u306b\u304a\u3044\u3066\uff0c \\(r = r_1 (=R)\\) \uff08\u5730\u4e0a\u3092\u60f3\u5b9a\uff09\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 \\\" \/>\n\t\t<meta property=\"og:url\" content=\"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\/%e5%86%86%e8%bb%8c%e9%81%93%e4%b8%8a%e3%82%92%e9%81%8b%e5%8b%95%e3%81%99%e3%82%8b%e6%99%82%e8%a8%88%e3%81%ae%e9%80%b2%e3%81%bf%e6%96%b9\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2023-12-27T06:50:33+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2024-07-08T03:27:39+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"\u5186\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u306e\u6642\u9593\u306e\u9032\u307f\u65b9 - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba\" \/>\n\t\t<meta name=\"twitter:description\" content=\"\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u306b\u304a\u3044\u3066\uff0c \\(r = r_1 (=R)\\) \uff08\u5730\u4e0a\u3092\u60f3\u5b9a\uff09\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f\u3092 \\\" \/>\n\t\t<script type=\"application\/ld+json\" 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