{"id":63385,"date":"2015-06-02T11:04:42","date_gmt":"2015-06-02T03:04:42","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=63385"},"modified":"2021-10-06T16:11:04","modified_gmt":"2021-10-06T08:11:04","slug":"%e7%82%ba%e4%bd%95%e5%8f%af%e4%bb%a5%e7%94%a8%e5%93%88%e4%bc%af%e5%b8%b8%e6%95%b8%e4%bc%b0%e8%a8%88%e5%ae%87%e5%ae%99%e5%b9%b4%e9%bd%a1","status":"publish","type":"post","link":"http:\/\/localhost\/%e7%82%ba%e4%bd%95%e5%8f%af%e4%bb%a5%e7%94%a8%e5%93%88%e4%bc%af%e5%b8%b8%e6%95%b8%e4%bc%b0%e8%a8%88%e5%ae%87%e5%ae%99%e5%b9%b4%e9%bd%a1\/","title":{"rendered":"\u70ba\u4f55\u53ef\u4ee5\u7528\u54c8\u4f2f\u5e38\u6578\u4f30\u8a08\u5b87\u5b99\u5e74\u9f61"},"content":{"rendered":"

\u70ba\u4f55\u53ef\u4ee5\u7528\u54c8\u4f2f\u5e38\u6578\u4f30\u8a08\u5b87\u5b99\u5e74\u9f61 (Why Hubble\u2019s constant can be used to estimate the age of the universe)<\/strong><\/span>
\n\u570b\u7acb\u81fa\u7063\u5927\u5b78\u7269\u7406\u7cfb\u6559\u6388 \u9673\u7fa9\u88d5<\/strong><\/span><\/p>\n

\u6839\u64da\u54c8\u4f2f\u5b9a\u5f8b\uff0c\u9060\u65b9\u661f\u7cfb\u90fd\u5728\u9060\u96e2\u6211\u5011\u800c\u53bb\uff0c\u4e14\u9060\u96e2\u7684\u901f\u5ea6 \\(v\\)\u00a0<\/i><\/b>\u548c\u8ddd\u96e2 \\(d\\)\u00a0<\/i><\/b>\u6210\u6b63\u6bd4\uff0c\u800c\u5176\u9593\u7684\u6bd4\u4f8b\u4fc2\u6578 \\(H\\)\u00a0<\/i><\/b>\u5247\u7a31\u70ba\u54c8\u4f2f\u5e38\u6578\u3002\u5beb\u6210\u6578\u5b78\u5f62\u5f0f\u5373\u70ba\uff1a\\(v=Hd\\)\u3002\u4f60\u53ef\u80fd\u6703\u5728\u4e0d\u540c\u7684\u5834\u5408\u807d\u5230\u4eba\u5bb6\u8aaa\uff0c\u54c8\u4f2f\u5e38\u6578\u7684\u5012\u6578\u53ef\u4ee5\u7528\u4f86\u505a\u70ba\u5b87\u5b99\u5e74\u9f61\u7684\u4f30\u8a08\uff0c\u4f46\u9019\u662f\u70ba\u4ec0\u9ebc\uff1f<\/p>\n

\u6211\u5011\u5148\u4f86\u770b\u4e00\u500b\u4e0d\u76f8\u5e72\u7684\u554f\u984c\u3002\u6211\u5011\u90fd\u5f88\u719f\u6089\u6240\u8b02\u7684\u7c21\u8ae7\u904b\u52d5\uff0c\u5b83\u6307\u7684\u662f\u4e00\u500b\u8cea\u91cf\u70ba \\(m\\)\u00a0<\/i><\/b>\u7684\u7269\u9ad4\u5728\u53d7\u5230\u4e00\u689d\u5f48\u7c27\u5e38\u6578\u70ba \\(k\\)\u00a0<\/i>\u7684\u5f48\u7c27\u4e4b\u56de\u5fa9\u529b\u6642\u4e4b\u904b\u52d5\uff0c\u5176\u904b\u52d5\u65b9\u7a0b\u5f0f\u4e4b\u6578\u5b78\u5f62\u5f0f\u70ba<\/p>\n

\\(m\\cdot(\\)\u52a0\u901f\u5ea6\\()=\\)\\(k\\cdot(\\)\u4f4d\u79fb\\()~~~~~~~~~(1)\\)<\/p>\n

\u5047\u8a2d\u6211\u4eca\u5929\u6709\u8208\u8da3\u7684\u53ea\u662f\u6578\u91cf\u7d1a\u7684\u5927\u5c0f\uff08\u4f8b\u5982\u904b\u52d5\u65b9\u7a0b\u5f0f\u7684\u6578\u5b78\u592a\u96e3\u6216\u592a\u8907\u96dc\u4e86\uff0c\u6211\u5011\u4e0d\u6703\u89e3\uff09\uff0c\u5247\u4e0a\u5f0f\u53f3\u624b\u908a\u4e2d\u7684\u300c\u4f4d\u79fb\u300d\u96d6\u7136\u6703\u96a8\u6642\u9593\u6539\u8b8a\uff0c\u4f46\u5176\u6578\u91cf\u7d1a\u7684\u5927\u5c0f\u61c9\u8a72\u4e5f\u5c31\u548c\u632f\u52d5\u6642\u7684\u6700\u5927\u4f4d\u79fb\uff08\u4ea6\u5373\u632f\u5e45\uff09\\(A\\)\u00a0<\/i>\u662f\u4e00\u81f4\u7684\u3002\u81f3\u65bc\u4e0a\u5f0f\u5de6\u624b\u908a\u4e2d\u7684\u300c\u52a0\u901f\u5ea6\u300d\u4e4b\u6578\u91cf\u7d1a\u7684\u5927\u5c0f\u5247\u53ef\u4ee5\u5229\u7528\u4e0b\u5f0f\u4f86\u4f30\u8a08\uff1a<\/p>\n

\"63385_eq1\"<\/a><\/p>\n

\u5176\u4e2d\u6211\u5011\u628a\u300c\u6642\u9593\u7684\u7d04\u7565\u9577\u77ed\u300d\u8996\u70ba\u548c\u7c21\u8ae7\u904b\u52d5\u7684\u632f\u52d5\u9031\u671f \\(T\\)\u00a0\u6709\u76f8\u540c\u7684\u6578\u91cf\u7d1a\uff0c\u800c\u7b26\u865f\u300c\\(\\sim\\)\u300d\u5247\u4ee3\u8868\u300c\u6578\u91cf\u7d1a\u7684\u7d04\u7565\u5927\u5c0f\u300d\u3002<\/p>\n

\u7167\u9019\u6a23\u8aaa\uff0c\\((1)\\) \u5f0f\u5c31\u7d04\u7565\u8b8a\u6210\u4e86<\/p>\n

\\(m\\cdot \\frac{A}{T^2}\\sim k\\cdot A\\Rightarrow T\\cdot \\sqrt{\\frac{m}{k}}\\)<\/p>\n

\u5728\u4e2d\u5b78\u7269\u7406\u4e2d\u6211\u5011\u77e5\u9053\uff0c\u7d93\u904e\u4ed4\u7d30\u8a08\u7b97\u5f8c\u6240\u6c42\u5f97\u7684\u9031\u671f\u548c\u4ee5\u4e0a\u7d50\u679c\u6bd4\u8f03\uff0c\u5176\u5be6\u9084\u591a\u4e86\u4e00\u500b \\(2\\pi\\) \u7684\u4fc2\u6578\uff0c\u6240\u4ee5\u4e4d\u770b\u4e4b\u4e0b\uff0c\u9019\u500b\u7d50\u679c\u4f3c\u4e4e\u4ee4\u4eba\u5931\u671b\u3002\u53ef\u662f\u9032\u4e00\u6b65\u60f3\uff0c\u5728\u4e0a\u8ff0\u4f30\u7b97\u4e2d\uff0c\u6211\u5011\u6839\u672c\u4e0d\u66fe\u771f\u6b63\u53bb\u89e3\u904b\u52d5\u65b9\u7a0b\u5f0f\uff0c\u4f46\u7adf\u7136\u9084\u80fd\u4e0d\u8cbb\u5439\u7070\u4e4b\u529b\u53bb\u63a8\u7b97\u51fa\u7cfb\u7d71\u9031\u671f\u7684\u6578\u91cf\u7d1a\u4f30\u8a08\uff0c\u9019\u7d55\u5c0d\u662f\u5f88\u5927\u7684\u6210\u5c31\uff01\u4e0d\u53ea\u5982\u6b64\uff0c\u6211\u5011\u9084\u53ef\u4ee5\u6b63\u78ba\u5ba3\u7a31\uff1a\u632f\u52d5\u9031\u671f\u662f\u548c\u8cea\u91cf\u7684\u958b\u6839\u865f\u6210\u6b63\u6bd4\u3001\u548c\u5f48\u7c27\u5e38\u6578\u7684\u958b\u6839\u865f\u6210\u53cd\u6bd4\u54e9\uff01<\/p>\n

\u5982\u679c\u4f60\u80fd\u63a5\u53d7\u4ee5\u4e0a\u7684\u8ad6\u8ff0\uff0c\u90a3\u9ebc\u4e0b\u9762\u9019\u500b\u66f4\u96e3\u7684\u554f\u984c\u4e5f\u53ef\u4ee5\u8f15\u9b06\u5316\u89e3\uff1a\u4e00\u500b\u8cea\u91cf\u70ba \\(m\\)\u00a0<\/i>\u7684\u7269\u9ad4\u53d7\u5230\u4e00\u689d\u975e\u7dda\u6027\u7684\u5f48\u7c27\u4e4b\u56de\u5fa9\u529b\u5728\u505a\u904b\u52d5\uff08\u56de\u5fa9\u529b\u548c\u632f\u5e45\u7684\u4e09\u6b21\u65b9\u6210\u6b63\u6bd4\uff09\uff0c\u5176\u904b\u52d5\u65b9\u7a0b\u5f0f\u4e4b\u6578\u5b78\u5f62\u5f0f\u70ba<\/p>\n

\\(m\\cdot(\\)\u52a0\u901f\u5ea6\\()=\\)\\(C\\cdot(\\)\u4f4d\u79fb\\()^3\\)<\/p>\n

\u8acb\u8ad6\u8ff0\u5b83\u7684\u632f\u52d5\u9031\u671f\u548c\u8cea\u91cf \\(m\\)\u3001\u5e38\u6578 \\(C\\)\u00a0<\/i>\u4ee5\u53ca\u632f\u5e45 \\(A\\)\u00a0<\/i>\u4e4b\u9593\u6709\u4ee5\u4e0b\u7684\u95dc\u4fc2\uff1a<\/p>\n

\\(T\\sim \\frac{1}{A}\\sqrt{\\frac{m}{c}}\\)<\/p>\n

\u00a0\uff08\u6240\u4ee5\uff0c\u632f\u5e45\u5f88\u5c0f\u6642\u7cfb\u7d71\u7684\u9031\u671f\u8b8a\u5f97\u5f88\u9577\uff01\uff09<\/p>\n

\u6709\u4e86\u4ee5\u4e0a\u7684\u71b1\u8eab\u904b\u52d5\uff0c\u63a5\u4e0b\u4f86\u8655\u7406\u5b87\u5b99\u5e74\u9f61\u9019\u500b\u554f\u984c\u5c31\u5bb9\u6613\u591a\u4e86\u3002\u5176\u5be6\u54c8\u4f2f\u5e38\u6578 \\(H\\)\u00a0<\/i><\/b>\u96d6\u7136\u5728\u5b87\u5b99\u4e2d\u6bcf\u4e00\u9ede\u7684\u6578\u503c\u90fd\u76f8\u540c\uff0c\u4f46\u5b83\u4e26\u4e0d\u662f\u50b3\u7d71\u529b\u5b78\u6982\u5ff5\u4e2d\u7684\u5e38\u6578\uff0c\u56e0\u70ba\u5b83\u53ef\u80fd\u96a8\u6642\u9593\u800c\u6539\u8b8a\u3002\u63db\u53e5\u8a71\u8aaa\uff0c\u4eca\u65e5\u6240\u89c0\u6e2c\u5230\u7684 \\(H\\)\u00a0<\/i><\/b>\u7684\u6578\u503c\u96d6\u7136\u5927\u7d04\u662f \\(21~ km\/s\/Mly\\)\uff0c\u4f46 \\(20\\) \u5104\u5e74\u524d\u7684 \\(H\\)\u00a0<\/i><\/b>\u53ef\u80fd\u548c\u6b64\u6578\u5b57\u6709\u6240\u504f\u5dee\uff0c\u800c \\(50\\) \u5104\u5e74\u524d\u7684 \\(H\\)\u00a0<\/i><\/b>\u53ef\u80fd\u548c\u6b64\u6578\u5b57\u504f\u5dee\u66f4\u5927\u3002\u5373\u4fbf\u5982\u6b64\uff0c\u6211\u5011\u9084\u662f\u76f8\u4fe1\uff0c\u53ea\u8981\u8001\u5929\u723a\u6c92\u6709\u548c\u6211\u5011\u958b\u5927\u73a9\u7b11\uff0c\u5247\u4e0d\u540c\u6642\u4ee3\u7684 \\(H\\)\u00a0<\/i><\/b>\u7684\u6578\u91cf\u7d1a\u99ac\u99ac\u864e\u864e\u5927\u6982\u4e5f\u5c31\u662f \\(21 km\/s\/Mly\\)\u3002<\/p>\n

\u540c\u7406\uff0c\u4eca\u65e5\u9060\u65b9\u7279\u5b9a\u7684\u661f\u7cfb\u82e5\u662f\u4ee5 \\(v\\)\u00a0<\/i><\/b>\u7684\u901f\u5ea6\u5728\u9060\u96e2\uff0c\u90a3\u4e4b\u524d\u5462\uff1f\u66f4\u65e9\u7684\u6642\u5019\u53c8\u5982\u4f55\u5462\uff1f\u6211\u5011\u4e5f\u662f\u8aaa\u4e0d\u6e96\uff0c\u4f46\u53ea\u8981\u8001\u5929\u723a\u6c92\u6709\u548c\u6211\u5011\u958b\u5927\u73a9\u7b11\uff0c\u5247\u5927\u90e8\u4efd\u6642\u5019\u5b83\u7684\u6578\u91cf\u7d1a\u61c9\u8a72\u4e5f\u5c31\u662f\u50cf \\(v\\)\u00a0<\/i><\/b>\u90a3\u6a23\u3002\u65e2\u7136\u5982\u6b64\uff0c\u5247\u9060\u65b9\u661f\u7cfb\u5f9e\u8ddd\u96e2\u6211\u5011\u76f8\u9130\u5f88\u8fd1\u7684\u5730\u65b9\uff0c\u96a8\u8457\u5b87\u5b99\u81a8\u8139\u800c\u9060\u96e2\u81f3\u4eca\u65e5\u5f88\u9060\u4e4b\u8ddd\u96e2 \\(d\\)\uff0c\u6b64\u4e2d\u6240\u7d93\u6b77\u7684\u6642\u9593\u4e4b\u6578\u91cf\u7d1a\u5c31\u7d04\u7565\u662f<\/p>\n

\"63385_eq2\"<\/a><\/p>\n

\u65bc\u662f\u6211\u5011\u5c31\u6709\u4e86\u5b87\u5b99\u5e74\u9f61\u7684\u4f30\u8a08\u503c\u662f \\(1\/H\\)\u3002\u7576\u7136\uff0c\u5f9e\u4ee5\u4e0a\u7684\u4f30\u7b97\u4e2d\u4f60\u4e00\u5b9a\u53ef\u4ee5\u770b\u51fa\u4f86\uff0c\u5b87\u5b99\u7684\u5e74\u9f61\u548c\u5b87\u5b99\u6f14\u5316\u6a21\u578b\u7684\u7d30\u7bc0\u6709\u5f88\u5927\u95dc\u4fc2\uff0c\u6240\u4ee5\u4e0a\u8ff0\u7d50\u679c\u5145\u5176\u91cf\u4e5f\u4e0d\u904e\u5c31\u662f\u500b\u6578\u91cf\u7d1a\u7684\u4f30\u8a08\u800c\u5df2\uff0c\u4e0d\u7528\u904e\u5ea6\u89e3\u8b80\uff0c\u5c31\u5982\u540c\u7c21\u8ae7\u632f\u52d5\u6240\u4f30\u51fa\u4f86\u7684\u9031\u671f\u8207\u771f\u5be6\u6578\u503c\u6703\u5dee\u4e0a \\(2\\pi\\) \u4e00\u6a23\u3002<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

\u70ba\u4f55\u53ef\u4ee5\u7528\u54c8\u4f2f\u5e38\u6578\u4f30\u8a08\u5b87\u5b99\u5e74\u9f61 (Why Hubble\u2019s constant can be used to e…<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[39,40,107],"tags":[630,8637,1850,6270,8636,1859],"class_list":["post-63385","post","type-post","status-publish","format-standard","hentry","category-physics09","category-physics09-01","category-physics00","tag-cosmology","tag-hubbles-constant","tag-hubbles-law","tag-6270","tag-8636","tag-1859","loop-entry","cat-39","cat-40","cat-107","no-thumbnail"],"views":16872,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/63385","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=63385"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/63385\/revisions"}],"predecessor-version":[{"id":86517,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/63385\/revisions\/86517"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=63385"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=63385"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=63385"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}