{"id":1199,"date":"2022-01-19T11:41:42","date_gmt":"2022-01-19T02:41:42","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=1199"},"modified":"2024-07-08T12:19:57","modified_gmt":"2024-07-08T03:19:57","slug":"%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","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\/%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\/","title":{"rendered":"\u91cd\u529b\u5834\u4e2d\u306e\u7570\u306a\u308b\u5730\u70b9\u3067\u306e\u6642\u9593\u306e\u9032\u307f\u65b9"},"content":{"rendered":"<p><!--more-->\u91cd\u529b\u5834\u4e2d\u306e\u7570\u306a\u308b\u5730\u70b9\uff0c\u4f8b\u3048\u3070<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u6771\u4eac\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3068\u5730\u4e0a\u306e\u6642\u8a08\u306e\u9032\u307f\u65b9\u306e\u9055\u3044<\/strong><\/span>\u3092\u8abf\u3079\u308b\u305f\u3081\u306b\uff0c\u5730\u7403\u306e\u5916\u90e8\u91cd\u529b\u5834\u306f\u7403\u5bfe\u79f0\u771f\u7a7a\u306a<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a<\/strong><\/span>\u3067\u8a18\u8ff0\u3055\u308c\u3066\u308b\u3068\u3057\u3066\u8a71\u3092\u9032\u3081\u308b\u3002\uff08\u53b3\u5bc6\u306b\u306f\u7403\u5bfe\u79f0\u3067\u306f\u306a\u3044\u3057\uff0c\u307e\u305f\u81ea\u8ee2\u3057\u3066\u3044\u308b\u304c&#8230; \uff09<\/p>\n<p style=\"padding-left: 40px;\">\u3053\u306e\u5b9f\u9a13\u306f\uff0c2020\u5e74\u306b\u591a\u304f\u306e\u30cd\u30c3\u30c8\u30cb\u30e5\u30fc\u30b9\u3067\u53d6\u308a\u4e0a\u3052\u3089\u308c\u305f\u306e\u3067\u691c\u7d22\u3059\u308b\u3068\u3044\u308d\u3044\u308d\u898b\u3064\u304b\u308b\u3002\u305f\u3068\u3048\u3070\uff0c\uff08\u6709\u6599\u8a18\u4e8b\u304c\u591a\u3044\u306e\u3067\u7121\u6599\u3067\u5168\u90e8\u8aad\u3081\u308b\u8a18\u4e8b\u3092\u63a2\u3059\u3068&#8230; \uff09<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a id=\"yui_3_17_2_1_1642559234025_692\" href=\"https:\/\/www.itmedia.co.jp\/news\/articles\/2004\/14\/news092.html\" target=\"_blank\" rel=\"noopener\">\u6771\u5927\u3001\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3068\u5730\u4e0a\u3067\u300c\u76f8\u5bfe\u6027\u7406\u8ad6\u300d\u691c\u8a3c\u3000\u30bb\u30b7\u30a6\u30e0\u539f\u5b50\u6642\u8a08\u3088\u308a100\u500d\u9ad8\u7cbe\u5ea6\u306e\u300c\u5149\u683c\u5b50\u6642\u8a08\u300d\u3067<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3>\u5149\u306e\u632f\u52d5\u6570\u304b\u3089\u5b9a\u7fa9\u3055\u308c\u308b\u6642\u9593\u306e\u9032\u307f<\/h3>\n<p><span style=\"font-family: helvetica, arial, sans-serif;\"><strong>4\u5143\u901f\u5ea6<\/strong><\/span> \\(\\boldsymbol{u}\\) \u306e<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u9759\u6b62\u89b3\u6e2c\u8005<\/strong><\/span>\u304c\u6e2c\u5b9a\u3059\u308b\u6642\u9593\u9593\u9694 \\(\\varDelta \\tau\\) \u306f\uff0c4\u5143\u30d9\u30af\u30c8\u30eb \\(\\boldsymbol{k}\\) \u3067\u8868\u3055\u308c\u308b\u7279\u5b9a\u306e\u5149\uff08\u96fb\u78c1\u6ce2\uff09\u306e\u632f\u52d5\u6570 \\(\\omega\\) \u306b\u53cd\u6bd4\u4f8b\u3059\u308b\u306e\u3067\u3042\u3063\u305f\u3002<\/p>\n<p>$$ \\varDelta \\tau \\propto \\frac{1}{\\omega}, \\quad \\omega \\equiv &#8211; \\boldsymbol{k}\\cdot\\boldsymbol{u}$$<\/p>\n<p><strong>\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a<\/strong>\u4e2d\u306e\u9759\u6b62\u89b3\u6e2c\u8005\u304c\u89b3\u6e2c\u3059\u308b\u5149\u306e\u632f\u52d5\u6570\u306f\uff0c<\/p>\n<p>$$\\omega = -k_0\\, u^0 = \\frac{\\omega_c}{\\sqrt{1 &#8211; \\frac{r_g}{r}}}, \\quad \\omega_c = \\mbox{const.}, \\ \\\u00a0 r_g \\equiv \\frac{2GM}{c^2}$$<br \/>\n\u3068\u306a\u308a\uff0c\u540c\u3058\u5149\u6e90\u304b\u3089\u653e\u305f\u308c\u305f\u540c\u3058\u5149\uff0c\u3064\u307e\u308a\u540c\u3058 \\(\\boldsymbol{k}\\) \u3092\u89b3\u6e2c\u3057\u3066\u3044\u3066\u3082\uff0c\u632f\u52d5\u6570 \\(\\omega\\) \u306f\u89b3\u6e2c\u8005\u306e\u4f4d\u7f6e\u3092\u8868\u3059\u52d5\u5f84\u5ea7\u6a19 \\(r\\) \u306b\u4f9d\u5b58\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n<h3>\u7570\u306a\u308b\u5730\u70b9\u306b\u304a\u3051\u308b\u6642\u9593\u306e\u9032\u307f\u65b9\u306e\u9055\u3044<\/h3>\n<p>\u3057\u305f\u304c\u3063\u3066\uff0c\u5730\u7403\u4e2d\u5fc3\u304b\u3089 \\(r = r_1\\) \uff08\u5730\u4e0a\u3092\u60f3\u5b9a\uff09\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f \\(\\varDelta \\tau_1\\) \u3068\uff0c \\(r = r_2 &gt; r_1\\) \uff08\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3092\u60f3\u5b9a\uff09\u306b\u9759\u6b62\u3057\u3066\u3044\u308b\u6642\u8a08\u306e\u9032\u307f \\(\\varDelta \\tau_2\\) \u306e\u6bd4\u306f<\/p>\n<p>$$\\frac{\\varDelta \\tau_2}{\\varDelta \\tau_1} = \\frac{\\omega_1}{\\omega_2} = \\frac{\\sqrt{1 &#8211; \\frac{r_g}{r_2}}}{\\sqrt{1 &#8211; \\frac{r_g}{r_1}}} &gt; 1$$<br \/>\n<span id=\"yui_3_17_2_1_1642559342380_253\" class=\"filter_mathjaxloader_equation\">\u3068\u306a\u308a\uff0c\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u306b\u304a\u3044\u305f\u6642\u8a08\u306e\u9032\u307f\u306e\u307b\u3046\u304c\u306f\u3084\u3044\u3068\u3044\u3046\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/span><\/p>\n<p>\\(r_2 &gt; r_1\\) \u3067\u3042\u308b\u304b\u3089\uff0c\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u6d45\u3044\u3068\u3053\u308d\u30fb\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u9ad8\u3044\u74b0\u5883\u3067\u3042\u308b\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0 \\(r = r_2\\) \u306e\u307b\u3046\u304c\uff0c\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u6df1\u3044\u3068\u3053\u308d\u30fb\u91cd\u529b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u4f4e\u3044\u74b0\u5883\u3067\u3042\u308b\u5730\u4e0a \\(r = r_1\\) \u3088\u308a\u3082\u6642\u9593\u304c\u306f\u3084\u304f\u9032\u3080\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n<p><span id=\"yui_3_17_2_1_1642559342380_253\" class=\"filter_mathjaxloader_equation\">\u3069\u306e\u304f\u3089\u3044\u9032\u3080\u306e\u304b\uff0c\u5b9a\u91cf\u7684\u306a\u8a08\u7b97\u3092\u3057\u3066\u307f\u3088\u3046\u3002<\/span><\/p>\n<p>\u4ee5\u4e0b\u3067\u306f\uff0c$r_1 = R$, $r_2 = R + h$ \uff08\u3053\u3053\u3067\uff0c$R$ \u306f\u5730\u7403\u534a\u5f84\uff0c$h$ \u306f\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u306e\u9ad8\u3055\uff09\u3068\u3057\u3066<\/p>\n<p>$$\\frac{\\varDelta \\tau_2}{\\varDelta \\tau_1} = \\frac{\\sqrt{1 &#8211; \\frac{r_g}{R+h}}}{\\sqrt{1 &#8211; \\frac{r_g}{R}}} $$<\/p>\n<p>\u3092$ r_g \\ll h \\ll R$ \u3067\u3042\u308b\u304b\u3089\uff0c$r_g$ \u304a\u3088\u3073 $h$ \u306b\u3064\u3044\u30661\u6b21\u307e\u3067\u306e\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\u3057\u305f\u5f0f\u3092\u8a55\u4fa1\u3057\u3066\u307f\u308b\u3002<\/p>\n<h3>Maxima-Jupyter \u306b\u3088\u308b\u8a08\u7b97\u4f8b<\/h3>\n<hr \/>\n<p>&nbsp;<\/p>\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=\"\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3067\u306e\u6642\u9593\u306e\u9032\u307f\">\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3067\u306e\u6642\u9593\u306e\u9032\u307f<\/h3>\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>$r_1$ \u3092\u5730\u4e0a\u3068\u3059\u308b\u3068\uff0c\u5730\u7403\u534a\u5f84 $R$ \u3092\u4f7f\u3063\u3066 $r_1 = R$<br \/>\n$r_2$ \u3092\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3068\u3059\u308b\u3068\uff0c\u5c55\u671b\u53f0\u307e\u3067\u306e\u9ad8\u3055 $h$ \u3092\u4f7f\u3063\u3066 $r_2 = R + h$<br \/>\n$\\displaystyle \\frac{\\varDelta \\tau_2}{\\varDelta \\tau_1} = $ <code>Dtratio<\/code> \u3068\u3044\u3046\u5909\u6570\u306b\u5165\u308c\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[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><span class=\"nv\">rg<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"nv\">R<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">h<\/span><span class=\"p\">))<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">(<\/span>1<span class=\"o\">-<\/span><span class=\"nv\">rg<\/span><span class=\"o\">\/<\/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[1]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{1}$}\\frac{\\sqrt{1-\\frac{{\\it rg}}{h+R}}}{\\sqrt{1-\\frac{{\\it rg}}{R}}}\\]<\/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>\u5f8c\u8ff0\u3059\u308b\u3088\u3046\u306b\u5177\u4f53\u7684\u306a\u6570\u5024\u3092\u5165\u308c\u308b\u3068 $r_g \\ll h \\ll R$ \u3067\u3042\u308b\u304b\u3089<br \/>\n<code>taylor()<\/code> \u95a2\u6570\u3067\uff0c\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\uff0c\u3084\u3063\u3066\u3093\u304b\u3044\uff01<\/p>\n<p>\u307e\u305a\uff0c$r_g$ \u306b\u3064\u3044\u30661\u6b21\u307e\u3067\u306e\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\uff0c<code>taylor(Dtratio, rg, 0, 1)<\/code>\u3002<\/p>\n<p>\u305d\u3057\u3066\u305d\u308c\u3092\u3055\u3089\u306b $h$ \u306b\u3064\u3044\u30661\u6b21\u307e\u3067\u306e\u30c6\u30a4\u30e9\u30fc\u5c55\u958b <code>taylor(%, h, 0, 1)<\/code> \u3057\u3066\uff0c\u7d50\u679c\u3092\u5909\u6570 <code>tay1<\/code> \u306b\u4ee3\u5165\u3059\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[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><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<span class=\"nv\">tay1<\/span><span class=\"o\">:<\/span> <span class=\"nf\">taylor<\/span><span class=\"p\">(<\/span><span class=\"nv\">%<\/span>, <span class=\"nv\">h<\/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[2]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{2}$}\\frac{h\\,{\\it rg}}{2\\,R\\,h+2\\,R^2}+1\\]<\/div>\n<\/div>\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{${\\it \\%o}_{3}$}\\frac{h\\,{\\it rg}}{2\\,R^2}+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><code>tay1<\/code> \u306e $r_g$ \u306b\u6bd4\u4f8b\u3059\u308b\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u88dc\u6b63\u9805\u3092\uff0c\u4fc2\u6570\u3092\u3068\u308a\u3060\u3059 <code>coeff()<\/code> \u95a2\u6570\u3092\u4f7f\u3063\u3066\u3068\u308a\u3060\u3057\uff0c\u5909\u6570 <code>ans<\/code> \u306b\u4ee3\u5165\u3059\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\">ans<\/span><span class=\"o\">:<\/span> <span class=\"nv\">rg<\/span> <span class=\"o\">*<\/span> <span class=\"nf\">coeff<\/span><span class=\"p\">(<\/span><span class=\"nv\">tay1<\/span>, <span class=\"nv\">rg<\/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{${\\it \\%o}_{4}$}\\frac{h\\,{\\it rg}}{2\\,R^2}\\]<\/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>\u307e\u305f\u306f\uff0c\u3066\u3063\u3068\u308a\u65e9\u304f\uff0c<code>tay1<\/code> \u304b\u3089 $1$ \u3092\u5f15\u3044\u3066\u3082\u3088\u3044\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[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">tay1<\/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{${\\it \\%o}_{5}$}\\frac{h\\,{\\it rg}}{2\\,R^2}\\]<\/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>\u3042\u3068\u306f\uff0c$r_g, h, R$ \u306b\u305d\u308c\u305e\u308c\u6570\u5024\u3092\u5165\u308c\u3066 <code>ans<\/code> \u306e\u5024\u3092\u6c42\u3081\uff0c\u3053\u308c\u306f1\u79d2\u3042\u305f\u308a\u306e\u9032\u307f\u306e\u9055\u3044\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\uff0c1\u65e5\u3042\u305f\u308a\u306e\u6642\u8a08\u306e\u9032\u307f\u3092\u6c42\u3081\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[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">G<\/span><span class=\"o\">:<\/span> 6<span class=\"o\">.<\/span>674<span class=\"nv\">E<\/span><span class=\"o\">-<\/span><span class=\"mi\">11<\/span>;\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> <span class=\"mi\">299792458<\/span>;\r\n\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><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[5]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{6}$}6.674 \\times 10^{-11}\\]<\/div>\n<\/div>\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{${\\it \\%o}_{7}$}5.972000000000001 \\times 10^{+24}\\]<\/div>\n<\/div>\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{${\\it \\%o}_{8}$}299792458\\]<\/div>\n<\/div>\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{${\\it \\%o}_{9}$}0.00886940714066725\\]<\/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\">\/* \u5730\u7403\u534a\u5f84 *\/<\/span>\r\n<span class=\"cm\">\/* \u8d64\u9053\u534a\u5f84\u3092\u4f7f\u3046\u3079\u304d\u304b\u306f\uff0c\u60a9\u3080\u3068\u3053\u308d\u3002*\/<\/span>\r\n<span class=\"cm\">\/* \u3061\u3087\u3063\u3068\u5927\u304d\u3081\u306a\u5024\u3092\u5165\u308c\u3066\u3044\u308b\u3053\u3068\u306b\u306a\u308b\u304b\u3082\u3002*\/<\/span>\r\n<span class=\"nv\">R<\/span><span class=\"o\">:<\/span> 6378<span class=\"nv\">E3<\/span>; \r\n<span class=\"cm\">\/* \u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u306e\u9ad8\u3055\u3002\u601d\u308f\u305a 634m \u3068\u8a00\u3063\u3066\u3057\u307e\u3044\u305d\u3046\u3060\u304c... *\/<\/span>\r\n<span class=\"nv\">h<\/span><span class=\"o\">:<\/span> <span class=\"mi\">450<\/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{${\\it \\%o}_{10}$}6378000.0\\]<\/div>\n<\/div>\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{${\\it \\%o}_{11}$}450\\]<\/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>\u5909\u6570 <code>ans<\/code> \u3092\u69cb\u6210\u3059\u308b\u5909\u6570\u306e\u6570\u5024\u3092\u5165\u308c\u3066\u3082\uff0c<code>ans<\/code> \u305d\u306e\u3082\u306e\u306f\u6700\u521d\u306e\u5b9a\u7fa9\u3068\u5909\u308f\u3089\u306a\u3044\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[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">ans<\/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[7]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{12}$}\\frac{h\\,{\\it rg}}{2\\,R^2}\\]<\/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>\u305d\u3093\u306a\u3068\u304d\u306f\uff0c<code>ev(ans);<\/code> \u3068\u3059\u308b\u3068\uff0cevaluate \u3064\u307e\u308a\u6570\u5024\u3092\u5165\u308c\u3066\u5024\u3092\u51fa\u3057\u3066\u304f\u308c\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[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* ev() \u95a2\u6570\u306f Evaluate \u3064\u307e\u308a\uff08\u6570\u5024\u3092\u5165\u308c\u3066\uff09\u5024\u3092\u51fa\u3057\u3066\u304f\u308c\u308b\u3002*\/<\/span>\r\n<span class=\"nf\">ev<\/span><span class=\"p\">(<\/span><span class=\"nv\">ans<\/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[8]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{13}$}4.905780125753035 \\times 10^{-14}\\]<\/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>\u3053\u308c\u306b\uff0c1\u65e5\u306e\u79d2\u6570\u3092\u304b\u3051\u3066\uff0c1\u65e5\u3042\u305f\u308a\u306e\u6642\u9593\u306e\u9032\u307f\u306b\u3059\u308b\u3068&#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[9]:<\/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> 3$ <span class=\"cm\">\/* 16 \u6841\u3082\u8868\u793a\u3059\u308b\u5fc5\u8981\u306f\u306a\u3044\u306e\u3067\uff0c\u8868\u793a\u6841\u3092 3\u6841\u306b\u3059\u308b *\/<\/span>\r\n<span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"s\">\"\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3067\u306f\uff0c1\u65e5\u3042\u305f\u308a\"<\/span>, <span class=\"nf\">ev<\/span><span class=\"p\">(<\/span><span class=\"nv\">ans<\/span><span class=\"p\">)<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">24<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">60<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">60<\/span>, <span class=\"s\">\"\u79d2\u9032\u3080\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 \">\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3067\u306f\uff0c1\u65e5\u3042\u305f\u308a \\(4.24 \\times 10^{-9}\\) \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<p>\u7d50\u8ad6\uff1a<\/p>\n<p>\u30b9\u30ab\u30a4\u30c4\u30ea\u30fc\u5c55\u671b\u53f0\u3067\u306f\uff0c\u6642\u9593\u306f1\u65e5\u3042\u305f\u308a10\u5104\u5206\u306e 4.2 \u79d2 \u3059\u3059\u3080\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"parent":103,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-1199","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/1199","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=1199"}],"version-history":[{"count":15,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/1199\/revisions"}],"predecessor-version":[{"id":9126,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/1199\/revisions\/9126"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/103"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=1199"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}