{"published":"2022-02-02 22:42:10","blog_title":"\u9ed2\u6d1e\u3072\u304b\u308a\u306e\u30d6\u30ed\u30b0","description":"\u8cea\u91cf $ m $ \u306e\u8cea\u70b9\u304c\u8cea\u91cf $ M $ \u306e\u5929\u4f53\u306e\u5468\u56f2\u3092\u516c\u8ee2\u3057\u3066\u3044\u308b\u3068\u3059\u308b. \u3053\u306e\u3068\u304d\u6975\u5ea7\u6a19\u3067\u306e\u7cfb\u306e\u30e9\u30b0\u30e9\u30f3\u30b8\u30a2\u30f3\u306f $$ L = \\frac{1}{2}m(\\dot{r}^ 2 + r^ 2 \\dot{\\theta}^ 2) + \\frac{GMm}{r} $$ \u3068\u306a\u308b. \u3053\u3053\u3067 $r$ \u306f\u5929\u4f53\u3068\u8cea\u70b9\u306e\u8ddd\u96e2, $G$ \u306f\u4e07\u6709\u5f15\u529b\u5b9a\u6570\u3067\u3042\u308b. \u3053\u306e\u5f8c\u5fc5\u8981\u306b\u306a\u308b\u5fae\u5206\u3092\u5148\u306b\u6c42\u3081\u3066\u304a\u304f\u3068, $$ \\begin{align} \\frac{\\partial L}{\\partial \\dot{r}} &= m\\dot{r} \\\\ \\frac{\\partial L}{\\partial r} &= mr\\d\u2026","version":"1.0","url":"https://ccbh.hatenablog.jp/entry/2022/02/02/224210","author_name":"ccbh","type":"rich","author_url":"https://blog.hatena.ne.jp/ccbh/","provider_url":"https://hatena.blog","title":"\u30cb\u30e5\u30fc\u30c8\u30f3\u91cd\u529b\u306b\u304a\u3051\u308b\u8ecc\u9053","provider_name":"Hatena Blog","width":"100%","blog_url":"https://ccbh.hatenablog.jp/","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fccbh.hatenablog.jp%2Fentry%2F2022%2F02%2F02%2F224210\" title=\"\u30cb\u30e5\u30fc\u30c8\u30f3\u91cd\u529b\u306b\u304a\u3051\u308b\u8ecc\u9053 - \u9ed2\u6d1e\u3072\u304b\u308a\u306e\u30d6\u30ed\u30b0\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","height":"190","categories":[]}