{"id":466,"date":"2025-02-02T15:18:40","date_gmt":"2025-02-02T06:18:40","guid":{"rendered":"https:\/\/www.flumen-jp.com\/wordpress\/?p=466"},"modified":"2026-04-17T03:14:29","modified_gmt":"2026-04-16T18:14:29","slug":"circle","status":"publish","type":"post","link":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/2025\/02\/02\/circle\/","title":{"rendered":"\u5186\u7ba1\u306e\u8d8a\u6d41\u5f0f"},"content":{"rendered":"\n

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\u3000\u7d50\u679c\u3060\u3051\u3092\u793a\u3059\u3068\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\uff08\u9593\u9055\u3063\u3066\u3044\u305f\u3089\u30b3\u30c3\u30bd\u30ea<\/strong>\u304a\u77e5\u3089\u305b\u304f\u3060\u3055\u3044\uff09\u3002\u6c34\u4f4d\u304c\u7ba1\u9802\u3088\u308a\u4e0a\u4f4d\u306e\u5834\u5408\u306f\u53f3\u8fba\u7b2c 2 \u9805\u304a\u3088\u3073\u7b2c 3 \u9805\u3092\u30bc\u30ed\u3068\u3057\u307e\u3059\u3002\u305d\u308c\u4ee5\u5916\u306f \\(\\eta = r\\) \u3068\u3057\u3066\u4e0b\u3055\u3044\u3002
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<\/div>\n\n\n\n
\"\"<\/figure>\n\n\n\n

$$
\\begin{align*}
\\frac{Q}{C r^2\\!\\sqrt{2\\mathrm{g}}} & \\sim
\\pi \\sqrt{\\eta} \\left(
1 – \\frac{1}{32}\\frac{r^2}{\\eta^2} – \\frac{5}{1024}\\frac{r^4}{\\eta^4}
\\right)
\\\\&\\quad
-\\sqrt{\\eta} \\left[
\\theta_h – \\cos\\theta_h\\cdot\\sin\\theta_h \\vphantom{\\int} \\right.
\\\\&\\qquad\\quad
-\\frac{1}{3}\\frac{r}{\\eta}
\\bigl( \\sin\\theta_h – \\cos^{2}\\!\\theta_h\\cdot\\sin\\theta_h \\bigr)
\\\\&\\qquad\\quad
-\\frac{1}{16}\\frac{r^2}{\\eta^2}
\\biggl( \\frac{\\theta_h}{2} + \\frac{\\sin 2\\theta_h}{4} – \\cos^{3}\\!\\theta_h\\cdot\\sin\\theta_h \\biggr)
\\\\&\\qquad\\quad
-\\frac{1}{40}\\frac{r^3}{\\eta^3}
\\biggl( \\frac{3}{4} \\sin\\theta_h + \\frac{\\sin 3\\theta_h}{12}- \\cos^{4}\\!\\theta_h\\cdot\\sin\\theta_h \\biggr)
\\\\&\\qquad\\quad\\left.
-\\frac{5}{384}\\frac{r^4}{\\eta^4}
\\biggl(\\frac{3}{8}\\theta_h + \\frac{\\sin 2\\theta_h}{4} + \\frac{\\sin 4\\theta_h}{32}
\\cos^{5}\\!\\theta_h\\cdot\\sin\\theta_h \\biggr)
\\right]
\\\\&\\quad
-\\sqrt{h’}\\,\\bigl(
\\pi – \\theta_h + \\sin\\theta_h\\cdot\\cos\\theta_h\\vphantom{\\int}
\\bigr)
\\end{align*}
$$<\/p>\n\n\n\n

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