[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/13920#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/13920","headline":"\u5b50\u5348\u7dda – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u5b50\u5348\u7dda – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u3044\u3064 \u5b50\u5348\u7dda \u5730\u7403\u306e\u8868\u9762\u4e0a\u306e\u5357\u5074\u306b\u5411\u304b\u3046\u6e2c\u5b9a\u7d4c\u8def\u307e\u305f\u306f\u5730\u7403\u306e\u6f5c\u6c34\u8266\u3067\u306e\u6570\u5b66\u7684\u7b49\u4fa1\u7269\u3068\u547c\u3070\u308c\u307e\u3059\uff08\u5b50\u5348\u7dda\u3092\u53c2\u7167\uff09\u3002 after-content-x4 \u6700\u521d\u306e\u6e2c\u5b9a\u30eb\u30fc\u30c8\u306f\u3001\u300c\u7a0b\u5ea6\u6e2c\u5b9a\u65b9\u6cd5\u300d\u3067\u6a5f\u80fd\u3057\u3066\u3001\u5e73\u5747\u5730\u7403\u306e\u66f2\u7387\u3001\u3057\u305f\u304c\u3063\u3066\u5730\u7403\u306e\u534a\u5f84\u3092\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u30012\u3064\u306e\u30eb\u30fc\u30c8\u30a8\u30f3\u30c9\u30dd\u30a4\u30f3\u30c8\u306e\u5730\u7406\u7684\u5e45\uff08\u03c6 \u521d\u3081 \u3001\u30d5\u30a1\u30a4 2 \uff09\u6e2c\u5b9a\u3059\u308b\u3002\u3053\u308c\u3089\u306e\u5e45\u306e\u6e2c\u5b9a\u306f\u3001\u661f\u306e\u9ad8\u5ea6\u3092\u89b3\u5bdf\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u5929\u6587\u5b66\u7684\u3067\u3059\u3002 \u30eb\u30fc\u30c8\u306f\u73fe\u5728\u3001\u6d77\u306e\u30ec\u30d9\u30eb\u3067\u7e2e\u5c0f\u3055\u308c\u3001\u305d\u306e\u9577\u3055\u306f\u5730\u7406\u7684\u7def\u5ea6\u9593\u306e\u9055\u3044\u3068\u6bd4\u8f03\u3055\u308c\u307e\u3059\u3002\u5b50\u5348\u7dda\u306e\u30a2\u30fc\u30c1\u306b\u306f\u9577\u3055\u304c\u3042\u308a\u307e\u3059 b \u305d\u3057\u3066\u5e83\u3044\u9055\u3044\u03b2= |\u03c6\u306e\u91cf \u521d\u3081 -phi 2 |\u3001\u3053\u308c\u306fr = b\/\u03b2\u306e\u5c40\u6240\u66f2\u7387\u534a\u5f84\u3067\u3059\u3002","datePublished":"2019-02-21","dateModified":"2019-02-21","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/ab4311bc3aa8804c343527804ba2cf38b980aa24","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/ab4311bc3aa8804c343527804ba2cf38b980aa24","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/13920","wordCount":2561,"articleBody":" 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Gill\u306b\u3088\u3063\u3066\u958b\u59cb\u3055\u308c\u305f30\u00b0\u6771\u306e\u9577\u3055\u3067\u306e\u30a2\u30d5\u30ea\u30ab\u5ea6\u6e2c\u5b9a\u306f\u30011953\u5e74\u306b\u306e\u307f\u5b8c\u4e86\u3057\u307e\u3057\u305f\u3002\u30ab\u30a4\u30ed\u304b\u3089\u30b1\u30fc\u30d7\u30bf\u30a6\u30f3\u307e\u3067\u306e\u30b3\u30fc\u30b9\u300165\u00b0\u632f\u5e45\u304c\u53e4\u5178\u7684\u306a\u6e2c\u5730\u306e\u6700\u3082\u9577\u3044\u6e2c\u5b9a\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u3067\u3059\u3002 \u56de\u8ee2 – \u30bd\u30ea\u30d7\u30bd\u30a4\u30c9\u306e\u5b50\u5348\u7dda\u30a2\u30fc\u30c1\u306f\u3001\u6955\u5186\u306e\u6b63\u78ba\u306a\u5f62\u72b6\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u306e\u9577\u3055 – \u8d64\u9053\u306b\u3088\u3063\u3066\u30ab\u30a6\u30f3\u30c8\u3055\u308c\u308b – \u306f\u3001\u6955\u5186\u5f62\u306e\u7a4d\u5206\u3068\u3057\u3066\u3001\u304a\u3088\u3073\u5730\u7406\u7684\u5e45\u03c6\u306e\u4e00\u9023\u306e\u95a2\u6570\u306e\u5f62\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 b = c \u30d5\u30a1\u30a4 + d \u7f6a \u2061 2 \u30d5\u30a1\u30a4 + \u3068 \u7f6a \u2061 4 \u30d5\u30a1\u30a4 + f \u7f6a \u2061 6 \u30d5\u30a1\u30a4 + \u22ef {displaystyle b = cvarphi +dsin 2varphi +esin 4varphi +fsin 6varphi +cdots} \u7b49 \u6700\u521d\u306e\u4fc2\u6570 c \u4e2d\u3064\u56fd\u306e\u534a\u5f84\u3067\u3042\u308a\u3001\u30d9\u30c3\u30bb\u30eb\u30a8\u30ea\u30d7\u30bd\u30c9\u306e\u5834\u5408\u306f111.120 km\/gegre\u3067\u3059\u3002 2\u756a\u76ee\u306e\u4fc2\u6570 d \u5730\u7403\u306e\u5203\u3067\u300115.988 km\u3067\u3059\u3002\u4ed6\u306e\u6955\u5186\u4f53\u306e\u5024\u306f4\u4f4d\u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002 \u30a8\u30ad\u30bb\u30f3\u30c8\u30ea\u30c3\u30af\u3092\u4f7f\u7528\u3057\u305f\u958b\u767a \u305d\u3046\u3067\u3059 2 \u3059\u3067\u306bJean-Baptiste Joseph Delambre 1799\uff1a B\u2248a(1\u2212e2){(1+34e2+4564e4+175256e6+1102516384e8)\u03c6\u00a0\u221212(34e2+1516e4+525512e6+22052048e8)sin\u20612\u03c6\u00a0+14(1564e4+105256e6+22054096e8)sin\u20614\u03c6\u00a0\u221216(35512e6+3152048e8)sin\u20616\u03c6\u00a0+18(31516384e8)sin\u20618\u03c6}{displaystyle {begin {aligned} bapprox\uff06; a\uff081-e^{2}\uff09\u5de6{\u5de6\uff081+ {frac {3} {4}} e^{2}+{frac {45} {64}} e^{4}+{{175}} {} {{175}} {{{175}} 11025} {16384}} e^{8} right\uff09varphi right\u3002 {6}+{frac {2205} {2048}} e^{8} right\uff09sin 2varphi \\\uff06+{frac {1} {4}}\u5de6\uff08{frac {15} {64}} {4} {4}+{frac {{64} {{6} {{6} {{6} {6} {6} } {4096}} e^{8} right\uff09sin 4varphi \\\uff06 –  {frac {1} {6}}\u5de6\uff08{frac {35} {512}} e^{6} +{frac {315} {2048}} e^{8} {8} {8} {{8} {{{{{{{{{8} {8} {{8} {{8}\uff09 8}} left.left\uff08{frac {315} {16384}} e^{8}\u53f3\uff09sin 8varphi right} \\ end {aligned}}}} Friedrich Robert Helmert\u304c\u4f7f\u7528\u3057\u307e\u3057\u305f n = 1\u22121\u2212e21+1\u2212e2\u2243 e24{displaystyle n = {frac {1- {sqrt {1-e^{2}}} {1+ {sqrt {1-e^{2}}}}}} 1880\uff1a B\u2248a1+n{(1+n24+n464)\u03c6\u221232(n\u2212n38)sin\u20612\u03c6\u00a0+1516(n2\u2212n44)sin\u20614\u03c6\u22123548n3sin\u20616\u03c6+315512n4sin\u20618\u03c6}{displaystyle {begin {aligned} bapprox\uff06; {frac {a} {1+n}}\u5de6{\u5de6\uff081+ {1+ {n^{2}} {4}}+{frac {n^{4}} {64}} rift\uff09varphi -{{{{{{{{{{{{2} {2} frac -{} frac -{} frac -{64}} {64}} {n^{3}} {8}}\u53f3\uff09sin 2varphi rigk\u3002\\\uff06left\u3002 +{frac {15} {16}}\u5de6\uff08n^{2}  –  {frac {n^{4}} {4}}\u53f3\uff09 {frac {315} {512}} n^{4} sin 8varphi right} \\ end {aligned}}} \u4e00\u822c\u7684\u306a\u5f0f\u306f\u3001Kazus\u306e\u3088\u3046\u306aKawase 2009\u3092\u4e0e\u3048\u307e\u3057\u305f\u3002 b = a1+n\u2211j=0\u221e(\u220fk=1j\u03b5k)2{\u03c6+\u2211l=12j(1l\u22124l)sin\u20612l\u03c6\u220fm=1l\u03b5j+(\u22121)m\u230am\/2\u230b(\u22121)m}{displaystyle B={frac {a}{1+n}}sum _{j=0}^{infty }left(prod _{k=1}^{j}varepsilon _{k}right)^{2}left{varphi +sum _{l=1}^{2j}left({frac {1}{l}}-4lright)sin 2lvarphi prod _{m=1}^{l}varepsilon _{j+(-1)^{m}lfloor m\/2rfloor }^{(-1)^{m}}right}} \u3057\u305f\u304c\u3063\u3066 e i= 3 n \/ 2 \u79c1  –  n {displaystyle varepsilon _ {i} = 3n\/2i-n} \u3002       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/13920#breadcrumbitem","name":"\u5b50\u5348\u7dda – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]