[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/20826#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/20826","headline":"Lind Blad-Resonoms  &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"Lind Blad-Resonoms  &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 Lindblad\u5171\u9cf4 \uff08\u5f7c\u5973\u306e\u767a\u898b\u8005\u3067\u3042\u308bBertil Lindblad\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\uff09\u306f\u3001Galaxy Theory\u306e\u5171\u9cf4\u73fe\u8c61\u3067\u3059\u3002 [\u521d\u3081] 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[4] \u79c1\u306f\u4ed6\u306e\u661f\u3068\u306e\u5bc6\u63a5\u306a\u51fa\u4f1a\u3044\u3002\u3053\u308c\u3089\u306e\u30ec\u30fc\u30f3\u306e\u30ab\u30aa\u30b9\u306e\u5909\u5316\u306f\u3001\u3053\u306e\u8003\u616e\u4e8b\u9805\u4e2d\u306b\u7121\u8996\u3055\u308c\u307e\u3059\u3002 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-Calcalded Apside Rotation\uff08Periheletonal form\uff09\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002 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    (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4Lindblad\u5171\u9cf4 \uff08\u5f7c\u5973\u306e\u767a\u898b\u8005\u3067\u3042\u308bBertil Lindblad\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\uff09\u306f\u3001Galaxy Theory\u306e\u5171\u9cf4\u73fe\u8c61\u3067\u3059\u3002 [\u521d\u3081] \u3053\u308c\u3089\u306f\u3001\u30b9\u30d1\u30a4\u30e9\u30eb\u3001\u9280\u6cb3\u306e\u30d0\u30fc\u3001\u307e\u305f\u306f\u9280\u6cb3\u306e\u8fd1\u304f\u306e\u4ef2\u9593\u306a\u3069\u3001\u5927\u304d\u306a\u30b9\u30b1\u30fc\u30eb\u306e\u9280\u6cb3\u69cb\u9020\u3092\u5099\u3048\u305f\u9280\u6cb3\u5185\u306e\u500b\u3005\u306e\u661f\u306e\u30c8\u30e9\u30c3\u30af\u306e\u5171\u9cf4\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u5171\u9cf4\u306f\u3001\u9280\u6cb3\u5185\u306e\u9577\u671f\u306b\u308f\u305f\u308b\u30b9\u30d1\u30a4\u30e9\u30eb\u69cb\u9020\u3068\u30d3\u30fc\u30e0\u69cb\u9020\u306e\u5b58\u5728\u306b\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3059\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002 [2]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30ea\u30f3\u30c9\u30d6\u30e9\u30c3\u30c9\u5fdc\u7b54\u306e\u7406\u8ad6\u306b\u304a\u3051\u308b\u4ed6\u306e\u5fdc\u7528\u306f\u3001\u30d7\u30e9\u30cd\u30c6\u30f3\u30ea\u30f3\u30b0\u30f3\u306e\u69cb\u9020\u306e\u8aac\u660e\u3068\u30d7\u30ed\u30c8\u30d7\u30e9\u30cd\u30bf\u30fc\u30eb\u306e\u8aac\u660e\u306b\u3042\u308a\u307e\u3059\u3002 [3] 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-Calcalded Apside Rotation\uff08Periheletonal form\uff09\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u5bc6\u5ea6\u7406\u8ad6\u306f\u3001\u56de\u8ee2\u9280\u6cb3\u306e\u3089\u305b\u3093\u8155\u306f\u5bc6\u5ea6\u6ce2\u306b\u3088\u3063\u3066\u5b89\u5b9a\u5316\u3055\u308c\u3066\u3044\u308b\u3068\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002 s \u8d70\u308a\u56de\u308a\u307e\u3059\u3002 [4] \u9280\u6cb3\u30ec\u30d9\u30eb\u306e\u661f\u306e\u30c8\u30e9\u30c3\u30af\u306f\u3001\u30b9\u30d1\u30a4\u30e9\u30eb\u30a2\u30fc\u30e0\u307e\u305f\u306f\u9280\u6cb3\u306e\u30d0\u30fc\u306b\u3088\u3063\u3066\u4f7f\u7528\u3055\u308c\u307e\u3059 \u90aa\u9b54\u3055\u308c\u305f\u3002 \u969c\u5bb3\u306f\u4e00\u5b9a\u306e\u5186\u5f62\u5468\u6ce2\u6570\u3067\u56de\u8ee2\u3057\u307e\u3059\u3002 \u3044\u3044\u3048 \u500b\u3005\u306e\u661f\u306e\u5faa\u74b0\u56de\u8def\u5468\u6ce2\u6570\u306b\u4e00\u81f4\u3057\u307e\u3059\u3002\u3053\u306e\u969c\u5bb3\u306f\u3001\u30a6\u30a3\u30f3\u30c9\u30a6\u306e\u89d2\u5ea6\u306b\u4f9d\u5b58\u3059\u308b\u8ffd\u52a0\u306e\u91cd\u529b\u96fb\u4f4d\u3068\u3057\u3066\u3082\u30e2\u30c7\u30eb\u5316\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u5186\u5f62\u5468\u6ce2\u6570\u03c9\u306e\u5dee\u306e\u5834\u5408 s \u661f\u03c9\u306e\u5faa\u74b0\u306e\u969c\u5bb3\u3068\u5186\u5468\u6ce2\u6570 \uff08R\uff09 \u4e2d\u592e\u307e\u3067\u306e\u8ddd\u96e2\u304b\u3089\u4e2d\u592e\u307e\u3067 r \u7279\u306b\u6574\u6570\u306b\u4f9d\u5b58\u3057\u307e\u3059 m \u30a8\u30d4\u30b7\u30ab\u30eb\u5468\u6ce2\u6570\u03ba \uff08R\uff09 \u3001\u4e2d\u592e\u307e\u3067\u306e\u4e2d\u9593\u8ddd\u96e2\u306b\u3082\u4f9d\u5b58\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5217\u8eca\u3068\u969c\u5bb3\u306e\u9593\u306b\u53cd\u5fdc\u304c\u3042\u308a\u307e\u3059\u3002 m [ \u03a9S\u2212\u03a9(R)] = \u00b1 k \uff08 r \uff09\uff09 \u3001 {displaystyle mleft [omega _ {mathrm {s}} -omega\uff08r\uff09right] = pm kappa\uff08r\uff09\u3001} \u81ea\u7136\u6570 m \u969c\u5bb3\u306e\u5bfe\u79f0\u6027\u306e\u8272\u306b\u3064\u3044\u3066\u306f\u3001\u305f\u3068\u3048\u3070\u30b9\u30d1\u30a4\u30e9\u30eb\u30a2\u30fc\u30e0\u306e\u6570\uff08\u901a\u5e38\u306f2\uff09\u3002\u661f\u306e\u5468\u671f\u7684\u306a\u8ddd\u96e2\u632f\u52d5\u306f\u3001\u3059\u3079\u3066\u306e\u8fd1\u4f3c\u3068\u540c\u3058\u7a0b\u5ea6\u306b\u5f71\u97ff\u3092\u53d7\u3051\u307e\u3059\u3002 [4]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4 Lindblad\u5171\u9cf4\u306e\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u3002\u30e2\u30c7\u30eb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306b\u306f3\u3064\u306e\u5171\u9cf4\u534a\u5f84\u304c\u3042\u308a\u307e\u3059\u3002\u5171\u632f\u7d4c\u8def\u306f\u9ec4\u8272\u3068\u30de\u30fc\u30af\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u5fdc\u7b54\u306f\u7279\u5b9a\u306e\u9244\u9053\u3067\u767a\u751f\u3057\u307e\u3059 r \u3001 \u5171\u9cf4\u534a\u5f84 \u7279\u5b9a\u306e\u30e2\u30c7\u30eb\u3067\u63a8\u5b9a\u3067\u304d\u307e\u3059\u3002\u30b1\u30fc\u30b9\u306f\u7279\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059 m = 2\u3001\u5fdc\u7b54\u306f\u5177\u4f53\u7684\u306a\u6f5c\u5728\u30e2\u30c7\u30eb\u306b\u5bfe\u3057\u3066\u7279\u306b\u30b9\u30d1\u30a4\u30e9\u30eb\u69cb\u9020\u306e\u5b89\u5b9a\u5316\u3092\u30b5\u30dd\u30fc\u30c8\u3059\u308b\u305f\u3081 [4] \u305d\u3057\u3066\u3001\u307b\u3068\u3093\u3069\u306e\u30b9\u30d1\u30a4\u30e9\u30eb\u9280\u6cb3\u306b\u306f2\u3064\u306e\u8155\u304c\u3042\u308b\u3068\u3044\u3046\u89b3\u5bdf\u7d50\u679c\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u53ef\u80fd\u6027\u306e\u5178\u578b\u7684\u306a\u904e\u7a0b\u3067\u3001\u96a3\u63a5\u3059\u308b\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306b\u9ec4\u8272\u3068\u30de\u30fc\u30af\u3055\u308c\u305f3\u3064\u306e\u5171\u9cf4\u534a\u5f84\u304c\u3042\u308a\u307e\u3059\u3002  \u5185\u5074\u306e\u30ea\u30f3\u30c9\u30d6\u30e9\u30c3\u30c9\u5171\u9cf4 \uff08ILR\uff09\u30b9\u30d1\u30a4\u30e9\u30eb\u69cb\u9020\u304c\u59cb\u307e\u308b\u30ae\u30e3\u30e9\u30af\u30b7\u30fc\u30bb\u30f3\u30bf\u30fc\u306e\u8fd1\u304f\u3002\u3053\u308c\u3089\u306e\u8ecc\u9053\u4e0a\u306e\u661f\u306e\u7d4c\u8def\u306f\u3001\u969c\u5bb3\u306e\u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u306b\u304a\u3051\u308b\u5faa\u74b0\u3054\u3068\u306b\u4e2d\u5fc3\u3078\u306e2\u3064\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u304c\u3042\u308a\u3001\u4e2d\u5fc3\u306e\u5468\u308a\u306b\u307b\u307c\u6955\u5186\u5f62\u3067\u3059\u3002\u969c\u5bb3\u306f\u661f\u3088\u308a\u3082\u9045\u304f\u306a\u308a\u307e\u3059\u3002  Cor\u30c6\u30a3\u30c3\u30af\u5171\u9cf4 \uff08CR\uff09\u30ae\u30e3\u30e9\u30af\u30b7\u30fc\u30bb\u30f3\u30bf\u30fc\u304b\u3089\u4e2d\u8ddd\u96e2\u3002\u3053\u308c\u3089\u306e\u8ecc\u9053\u4e0a\u306e\u661f\u306e\u7d4c\u8def\u3082\u307b\u307c\u6955\u5186\u5f62\u3067\u3059\u304c\u3001\u4e2d\u5fc3\u306e\u5468\u308a\u3067\u306f\u306a\u304f\u3001\u969c\u5bb3\u306e\u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u306b\u304a\u3051\u308b\u56fa\u5b9a\u4f4d\u7f6e\u306b\u3064\u3044\u3066\u3067\u3059\u3002\u969c\u5bb3\u306e\u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u306e\u5faa\u74b0\u3042\u305f\u308a\u306e\u4e2d\u5fc3\u306b\u8fd1\u4f3c\u304c\u3042\u308a\u307e\u3059\u3002  \u5916\u5074\u306e\u30ea\u30f3\u30c9\u30d6\u30e9\u30c3\u30c9\u5171\u9cf4 \uff08OLR\uff09\u9280\u6cb3\u306e\u300c\u76ee\u306b\u898b\u3048\u308b\u7e01\u300d\u3067\u3001\u30b9\u30d1\u30a4\u30e9\u30eb\u69cb\u9020\u304c\u7d42\u4e86\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u8ecc\u9053\u4e0a\u306e\u661f\u306e\u7d4c\u8def\u306f\u3001\u969c\u5bb3\u306e\u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u306b\u304a\u3051\u308b\u5faa\u74b0\u3054\u3068\u306b\u4e2d\u5fc3\u3078\u306e2\u3064\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u304c\u3042\u308a\u3001\u4e2d\u5fc3\u306e\u5468\u308a\u306b\u307b\u307c\u6955\u5186\u5f62\u3067\u3059\u3002\u969c\u5bb3\u306f\u661f\u3088\u308a\u3082\u901f\u304f\u8d70\u308a\u307e\u3059\u3002 \u4ed6\u306e\u3059\u3079\u3066\u306e\u8eca\u7dda\u306f\u3001\u969c\u5bb3\u306e\u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u3067\u30ed\u30bc\u30c3\u30c8\u306e\u5f62\u3092\u3057\u3066\u3044\u307e\u3059\u3002 \u30b9\u30d1\u30a4\u30e9\u30eb\u9280\u6cb3\u3067\u767a\u751f\u3059\u308b\u5bc6\u5ea6\u6ce2\u306f\u3001\u5185\u5074\u3068\u5916\u5074\u306e\u30ea\u30f3\u30c9\u30d6\u30e9\u30c3\u30c9\u5fdc\u7b54\u306e\u9593\u3067\u306e\u307f\u751f\u304d\u6b8b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b9\u30d1\u30a4\u30e9\u30eb\u30a2\u30fc\u30e0\u306f\u3053\u306e\u9818\u57df\u3067\u306e\u307f\u767a\u751f\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5bc6\u5ea6\u6ce2\u306f\u3001ILR\u3092\u4ecb\u3057\u3066\u30b3\u30a2\u306b\u6d78\u900f\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u5f7c\u3089\u306f\u30d3\u30fc\u30c1\u306e\u6ce2\u306e\u3088\u3046\u306b\u3053\u306e\u5883\u754c\u306b\u5438\u53ce\u3055\u308c\u3001\u305d\u306e\u3088\u3046\u306b\u8a13\u7df4\u3055\u308c\u305f\u56de\u907f\u56de\u907f\u306e\u307f\u304c\u5438\u53ce\u3055\u308c\u307e\u3059\u3002\u30d3\u30fc\u30e0\u30b9\u30d1\u30a4\u30e9\u30eb\u30ae\u30e3\u30e9\u30af\u30b7\u30fc\u306e\u30d0\u30fc\u306f\u3001CR\u3088\u308a\u3082\u3055\u3089\u306b\u62e1\u5927\u3057\u307e\u305b\u3093\u3002 [5] Spiral Galaxies\u306b\u3042\u308b\u8239\u5c3e\u306e\u30ea\u30f3\u30b0\u306f\u3001CR\u304a\u3088\u3073OLR\u306b\u5f62\u6210\u3055\u308c\u307e\u3059\u3002\u9280\u6cb3\u306e\u30ac\u30b9\u306fILR\u306b\u96c6\u307e\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u30ac\u30b9\u306e\u30ea\u30f3\u30b0\u3068\u65b0\u3057\u304f\u4f5c\u6210\u3055\u308c\u305f\u661f\u3082\u305d\u3053\u306b\u5f62\u6210\u3055\u308c\u307e\u3059\u3002 [6] \u5929\u306e\u5ddd\u306e\u30ea\u30f3\u30c9\u30d6\u30e9\u30c3\u30c9\u5171\u9cf4 \u5171\u9cf4\u30bf\u30a4\u30d7\uff08\u7565\u8a9e\uff09 Resonanzradius\u00b0 \u76f8\u5bfe\u983b\u5ea6^ \u8aac\u660e \u30a2\u30a6\u30bf\u30fc\u30ea\u30f3\u30c9\u30d6\u30e9\u30c3\u30c9\u5171\u9cf4\uff08OLR\uff09 20 kpc +1 \u969c\u5bb3\u306f\u661f\u3088\u308a\u3082\u901f\u304f\u8d70\u308a\u307e\u3059 cor\u51a0\u5171\u9cf4\uff08cr\uff09 14 kpc 0 \u661f\u3068\u5916\u4e71\u306f\u5747\u7b49\u306b\u8fc5\u901f\u306b\u56de\u8ee2\u3057\u307e\u3059 \u5185\u5074\u306elindblad\u5171\u9cf4\uff08s\uff09\uff08ILR\uff09 \uff08\u30b7\u30b9\u30c6\u30e0\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306b\u5fdc\u3058\u3066\u3001\u8907\u6570\u306eILR\u304b\u3089\u30bc\u30ed\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\uff09 3 kpc -1 \u969c\u5bb3\u306f\u661f\u3088\u308a\u3082\u9045\u304f\u306a\u308a\u307e\u3059 \u00b0\u5929\u306e\u5ddd\u306e\u5024 m = 2\u304a\u3088\u3073\u03c9 s \u224815km\/s\/kpc [6] ^ \u76f8\u5bfe\u983b\u5ea6  n = m k [ \u03a9S &#8211;  \u304a\u304a \uff08 r \uff09\uff09 ] {displaystyle nu = {frac {m} {kappa}} left [omega _ {mathrm {s}} -omega\uff08r\uff09\u53f3]}  \u30ed\u30bc\u30c3\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u4e3b\u8981\u306a \u91cd\u529b\u304c\u901f\u304f\u306a\u308a\u307e\u3059 u\uff08r\u3001\u03c6\u3001z\u3001t\uff09 \u30b9\u30d1\u30a4\u30e9\u30eb\u9280\u6cb3\u306f\u3001\u5165\u9662\u60a3\u8005\u3001\u8ef8\u65b9\u5411\u306e\u5bfe\u79f0\u6027\u3067\u3001\u9280\u6cb3\u30ec\u30d9\u30eb\u304b\u3089\u5bfe\u79f0\u7684\u306b\u306a\u308a\u307e\u3059\uff08 u\uff08r\u3001\u03c6\u3001z\u3001t\uff09= u\uff08r\u3001z\uff09= u\uff08r\u3001-z\uff09 \uff09\u6700\u521d\u306b\u5727\u7e2e\u3055\u308c\u305f\u30b9\u30d1\u30a4\u30e9\u30eb\u30a2\u30fc\u30e0\u3001\u30d0\u30fc\u3001\u307e\u305f\u306f\u305d\u306e\u4ed6\u306e\u969c\u5bb3\u304c\u7121\u8996\u3055\u308c\u305f\u3068\u4eee\u5b9a\u3057\u307e\u3057\u305f\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u81ea\u5206\u81ea\u8eab\u3092\u9280\u6cb3\u30ec\u30d9\u30eb\u3001\u3064\u307e\u308aH.\u5e38\u306b\u9069\u7528\u3055\u308c\u307e\u3059 z = 0 \u305d\u3057\u3066\u3001\u5358\u306b\u305d\u3053\u306b\u53ef\u80fd\u6027\u3092\u547c\u3073\u307e\u3059 \u3042\u306a\u305f\u306f\uff09 \u3002\u9280\u6cb3\u30ec\u30d9\u30eb\u306e\u8fd1\u304f\u306e\u9244\u9053\u306fZ\u65b9\u5411\u306e\u632f\u52d5\u3092\u53d6\u308a\u56f2\u3080 z = 0 \u305d\u308c\u304b\u3089\u3053\u308c\u4ee5\u4e0a\u8003\u616e\u3059\u3079\u304d\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u9280\u6cb3\u30ec\u30d9\u30eb\u306e\u4e00\u822c\u7684\u306a\u52d5\u304d\u65b9\u7a0b\u5f0f x\u00a8=  &#8211;  \u2207 \u306e \uff08 r \uff09\uff09 {displaystyle {ddot {mathbf {x}}} = -nablau\uff08r\uff09}} \u305d\u306e\u5f8c\u3001\u6975\u5ea7\u6a19\u306e\u30ec\u30d9\u30eb\u3067\u8ce2\u660e\u306b\u306a\u308a\u307e\u3059 \uff08r\u3001\u03c6\uff09 \u5b9a\u5f0f\u5316\uff1a r\u00a8 &#8211;  r \u03d5\u02d92= \u2202U(r)\u2202r; r \u03d5\u00a8+ 2 r\u02d9\u03d5\u02d9= 0 {displaystle {dot}}  &#8211;  r {dot {phi}}^{2} = {frac {partial u\uff08r\uff09} {partial r}}; quad r {dot}}+2 {dot {r}}} {dot {dot {phi}} = 0}} = 0} \u3042\u3089\u3086\u308b\u8ddd\u96e2\u306b\u305d\u306e\u3088\u3046\u306a\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059 r \u9280\u6cb3\u30ec\u30d9\u30eb\u306e\u9280\u6cb3\u306e\u4e2d\u5fc3\u306b\u3042\u308b\u5b89\u5b9a\u3057\u305f\u5186\u5f62\u306e\u8eca\u7dda\u3002\u5186\u5f62\u9244\u9053\u306e\u661f\u306f\u3001\u03c9\u3092\u4e00\u5b9a\u306e\u89d2\u5ea6\u901f\u5ea6\u3067\u5909\u63db\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u305d\u306e\u3088\u3046\u306a\u7d4c\u8def\u306e\u4e2d\u5fc3\u529b\u304b\u3089\u751f\u3058\u307e\u3059\u3002 \u2202U\u2202r|r=R= \u304a\u304a 2r \u3002 {displaystyle\u5de6\u3002{frac {partial u} {partial r}}\u53f3| _ {r = r} = omega ^{2} r\u3002} \u30b9\u30d1\u30a4\u30e9\u30eb\u9280\u6cb3\u306e\u307b\u3068\u3093\u3069\u306e\u661f\u306b\u306f\u3001\u304b\u306a\u308a\u5c0f\u3055\u306a\u653e\u5c04\u72b6\u8ddd\u96e2\u9818\u57df\u306e\u5186\u5f62\u30c8\u30e9\u30c3\u30af\u306e\u5468\u308a\u306b\u3042\u308b\u8eca\u7dda\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u30ec\u30d9\u30eb\u4e0a\u306e\u52d5\u304d\u306e\u4e00\u822c\u7684\u306a\u65b9\u7a0b\u5f0f\u306b\u6b63\u5f53\u5316\u3055\u308c\u307e\u3059\u3053\u306e\u5186\u5f62\u306e\u7d4c\u8def\u306b\u8fd1\u3065\u304f\u305f\u3081\u306e\u7dda\u5f62\u3002\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u3001\u5186\u5f62\u9244\u9053\u304b\u3089\u306e\u9038\u8131\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002 r = r + d r \u03d5 = \u304a\u304a t + d \u03d5 \u3002 {displaystyle r = r+delta rquad phi = omega t+delta phi\u3002} \u529b\u306e\u7dda\u5f62\u5316\u306b\u306f\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e2\u756a\u76ee\u306e\u5c0e\u51fa\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002 \u2202U(r)\u2202r= \u2202U(r)\u2202r|r=R+ \u22022U(r)\u2202r2|r=Rde d r \u3002 {displaystyle {frac {partial u\uff08r\uff09} {partial r}} =\u5de6\u3002{frac {partial u\uff08r\uff09} {partial r}}\u53f3| _ {r = r}+\u5de6\u3002 } \u306e2\u756a\u76ee\u306e\u6d3e\u751f \u306e \u5186\u5f62\u9244\u9053\u534a\u5f84\u306e\u5f8c\u306b\u89d2\u5ea6\u901f\u5ea6\u03c9\u3092\u5c0e\u51fa\u3059\u308b\u3053\u3068\u3067\u8868\u73fe\u3067\u304d\u307e\u3059\u3002 \u22022U(r)\u2202r2|r=R= 2 r \u304a\u304a d\u03a9dR+ \u304a\u304a 2\u3002 {displaystyle\u5de6\u3002{frac {partial ^{2} u\uff08r\uff09} {partial r ^{2}}} right | _ {r = r} = 2romega {domega} {dr}}}+omega ^{2}\u3002}\u3002 \u5186\u5f62\u9244\u9053\u534a\u5f84\u306e\u5f8c\u306e\u89d2\u901f\u5ea6\u306e\u5c0e\u51fa\u306f\u3001\u6b21\u306e\u03c9 &#8216;\u3068\u547c\u3073\u307e\u3059\u3002\u30b5\u30a4\u30ba\u03c9\u3068\u03c9 &#8216;\u306f\u3001\u9280\u6cb3\u306e\u56de\u8ee2\u66f2\u7dda\u304b\u3089\u6c7a\u5b9a\u3067\u304d\u308b\u89b3\u6e2c\u5909\u6570\u3067\u3059\u3002\u7279\u306b\u3001\u305d\u308c\u3089\u306fOORTS\u304b\u3089\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 [6] \u7dda\u5f62\u5316\u3055\u308c\u305f\u52d5\u304d\u306e\u65b9\u7a0b\u5f0f\u306f\u4eca\u3067\u3059\uff1a d r\u00a8 &#8211;  2 r \u304a\u304a d \u03d5\u02d9 &#8211;  \u304a\u304a 2d r = \uff08 2 r \u304a\u304a \u304a\u304a &#8216; + \u304a\u304a 2\uff09\uff09 d r ; r d \u03d5\u00a8+ 2 \u304a\u304a d r\u02d9= 0 {displaystle delta {dot}} -2romega delta {dot {phi}}  &#8211;  omega ^{2} delta r =\uff082romega omega &#8216;+omega ^{2}\uff09delta r; quad rdelta {phi}}}+2omega delta \u5bfe\u5fdc\u3059\u308b\u975e\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3068\u540c\u69d8\u306b\u30012\u756a\u76ee\u306e\u65b9\u7a0b\u5f0f\u306f\u76f4\u63a5\u7d71\u5408\u3067\u304d\u307e\u3059\u3002\u52d5\u304d\u306e\u5b9a\u6570 d l = r d \u03d5\u02d9+ 2 \u304a\u304a d r {displaystyle delta l = rdelta {dot {phi}}+2omega delta r} \u5186\u5f62\u9244\u9053\u3068\u4e71\u308c\u305f\u9244\u9053\u306e\u9593\u306e\u56de\u8ee2\u885d\u52d5\u306e\u9055\u3044\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002\u305d\u308c\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u56de\u8ee2\u885d\u52d5\u306b\u9069\u3057\u305f\u90aa\u9b54\u3055\u308c\u306a\u3044\u5186\u5f62\u306e\u7d4c\u8def\u304c\u3042\u308b\u305f\u3081\u3001\u4e00\u822c\u6027\u3092\u5236\u9650\u3059\u308b\u3053\u3068\u306a\u304f\u30bc\u30ed\u3092\u8a2d\u5b9a\u3067\u304d\u307e\u3059\u3002\u7d50\u679c\u306e\u65b9\u7a0b\u5f0f\u3092\u653e\u5c04\u72b6\u306e\u52d5\u304d\u306e\u65b9\u7a0b\u5f0f\u306b\u633f\u5165\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002  \u9280\u6cb3\u306e\u91cd\u529b\u5834\u306e\u30e2\u30c7\u30eb\u306e\u3055\u307e\u3056\u307e\u306a\u30ed\u30bc\u30c3\u30c8\u3002 d r\u00a8= \uff08 2 r \u304a\u304a \u304a\u304a &#8216; + 4 \u304a\u304a 2\uff09\uff09 d r \u3002 {displaystyle delta {ddot {r}} =\uff082romega omega &#8216;+4omega ^{2}\uff09delta r\u3002} \u3053\u308c\u306f\u5186\u5f62\u306e\u5468\u6ce2\u6570\u3092\u6301\u3064\u5747\u4e00\u306a\u632f\u52d5\u65b9\u7a0b\u5f0f\u3067\u3059 k = 2R\u03a9\u03a9\u2032+4\u03a92{displaystyle kappa = {sqrt {2romega omega &#8216;+4omega ^{2}}}}} \u89e3\u6c7a\u7b56\u4ed8\u304d d r \uff08 t \uff09\uff09 = a \u7f6a \u2061 \uff08 k t \uff09\uff09 \u3002 {displaystyle delta r\uff08t\uff09= asin\uff08kappa t\uff09\u3002} \u89d2\u5ea6\u30aa\u30d5\u30bb\u30c3\u30c8\u306e\u65b9\u7a0b\u5f0f\uff1a d \u03d5\u02d9=  &#8211;  2\u03a9Rd r {displaystyle quad delta {dot {phi}} =  &#8211;  {frac {2omega} {r}} delta r} \u6b21\u306b\u300190\u00b0\u306e\u632f\u52d5\u3092\u63d0\u4f9b\u3057\u307e\u3059 d \u03d5 \uff08 t \uff09\uff09 =  &#8211;  bRcos \u2061 \uff08 k t \uff09\uff09 {displaystyle delta phi\uff08t\uff09=  &#8211;  {frac {b} {r}} cos\uff08kappa t\uff09} \u632f\u5e45\u3067 b\/r =2a\u03c9\/\uff08\u03baR\uff09\u3002 \u4e71\u308c\u305f\u5217\u8eca\u306f\u3001\u540c\u3058\u30ed\u30fc\u30bf\u30ea\u30fc\u30a4\u30f3\u30d1\u30eb\u30b9\u3092\u6301\u3064\u90aa\u9b54\u3055\u308c\u306a\u3044\u5186\u5f62\u306e\u7d4c\u8def\u3068\u6bd4\u8f03\u3057\u3066\u3001\u534a\u8ef8\u3092\u5099\u3048\u305f\u6955\u5186\u5f62\u306e\u7d4c\u8def\u3092\u5c0e\u304d\u307e\u3059 a \u3068 b \u305d\u306e\u6bd4\u7387\u304b\u3089\u307e\u3063\u3059\u3050 b\/a = 2o\/k \u306f\u3002\u6955\u5186\u306f\u305d\u3046\u3059\u308b\u3067\u3057\u3087\u3046 \u30a8\u30d4\u30b7\u30b1\u30eb \u540d\u524d\u304c\u4ed8\u3051\u3089\u308c\u3066\u3044\u307e\u3059\uff08\u305f\u3068\u3048\u305d\u308c\u304c\u5186\u3067\u306f\u306a\u3044\u5834\u5408\u3067\u3082\uff09\u3002\u305d\u306e\u7d50\u679c\u3001\u5186\u5f62\u306e\u5468\u6ce2\u6570\u03ba\u304c\u3042\u308a\u307e\u3059 EpizykelfRequenz \u547c\u3073\u51fa\u3055\u308c\u307e\u3057\u305f\u3002\u5186\u5f62\u306e\u52d5\u304d\u3068\u30a8\u30d4\u30c6\u30a3\u30ba\u30e0\u306e\u52d5\u304d\u306e\u30aa\u30fc\u30d0\u30fc\u30ec\u30a4\u306b\u8d77\u56e0\u3059\u308b\u30c8\u30e9\u30c3\u30af\u306f\u3001 Rosettenbahn \u547c\u3073\u51fa\u3055\u308c\u307e\u3057\u305f\u3002\u53cd\u5bfe\u5074\u306e\u5199\u771f\u306b\u306f\u3044\u304f\u3064\u304b\u306e\u4f8b\u304c\u898b\u3089\u308c\u307e\u3059\u3002 \u5bfe\u6570\u307e\u305f\u306f\u7d14\u7c8b\u306a\u52b9\u529b\u95a2\u6570\u306b\u6bd4\u4f8b\u3059\u308b\u53ef\u80fd\u6027\u306b\u3064\u3044\u3066\u306f r \u03c9\uff08 r \uff09\u306e\u7d14\u7c8b\u306a\u52b9\u529b\u95a2\u6570\u306b\u6bd4\u4f8b\u3057\u307e\u3059 r \u3002\u4e0a\u8a18\u306e\u5f0f\u304b\u3089\u3001\u30a8\u30d4\u30bf\u30b9\u5468\u6ce2\u6570\u306f\u5186\u5f62\u9244\u9053\u306e\u89d2\u5ea6\u901f\u5ea6\u306b\u6bd4\u4f8b\u3057\u3001\u4e21\u65b9\u306e\u6bd4\u7387\u304c\u5b9a\u6570\u306b\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\uff08\u3053\u308c\u306f\u96a3\u63a5\u3059\u308b\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u3067\u3082\u305d\u3046\u3067\u3059\uff09\u3002\u30dc\u30fc\u30eb\u5bfe\u79f0\u6027\u4e2d\u5fc3\u8cea\u91cf\u306e\u53ef\u80fd\u6027 u\uff08r\uff09\u301c1\/r \u305f\u3068\u3048\u3070\u3001\u7d9a\u304d\u307e\u3059 k \/ \u304a\u304a = \u521d\u3081 {displaystyle kappa \/omega = 1} \u3001\u30b1\u30d7\u30e9\u30fc\u306e\u6cd5\u5247\u304c\u6307\u5b9a\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u3001\u5faa\u74b0\u3054\u3068\u306b\u30da\u30ea\u30bb\u30f3\u30bf\u30fc\u3068APO\u30bb\u30f3\u30bf\u30fc\u3092\u5099\u3048\u305f\u9589\u9396\u8eca\u7dda\u304c\u3042\u308b\u3088\u3046\u306b\u3002\u5178\u578b\u7684\u306a\u9280\u6cb3\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u73fe\u5b9f\u7684\u306a\u8fd1\u4f3c\u3092\u8868\u3059\u5bfe\u6570\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u5834\u5408\u3001\u7d50\u679c\u306f\u6bd4\u7387\u3067\u3059 k \/ \u304a\u304a = 2 {displaystyle kappa \/omega = {sqrt {2}}} \u3002\u592a\u967d\u74b0\u5883\u306b\u304a\u3051\u308b\u30aa\u30eb\u30c6\u30a3\u30b7\u30e5\u5b9a\u6570\u306e\u6e2c\u5b9a\u306f\u3001\u79c1\u305f\u3061\u306e\u9280\u6cb3\u8fd1\u96a3\u306e\u4fa1\u5024\u3092\u63d0\u4f9b\u3057\u307e\u3059 k \/ \u304a\u304a = \u521d\u3081 \u3001 3 {displaystyle kappa \/omega = 1 {\u3001} 3} \u3002 [6] \u525b\u6027\u56de\u8ee2\u30c7\u30a3\u30b9\u30af\u306e\u5834\u5408\uff08Galaxy Core\u306b\u975e\u5e38\u306b\u3088\u304f\u9069\u7528\u3055\u308c\u308b\u30e2\u30c7\u30eb\uff09 k \/ \u304a\u304a = 2 {displaystyle kappa \/omega = 2} \u3001\u305d\u306e\u305f\u3081\u3001\u661f\u306f\u3001\u4e2d\u592e\u306b\u30ae\u30e3\u30e9\u30af\u30b7\u30fc\u30bb\u30f3\u30bf\u30fc\u3092\u5099\u3048\u305f\u307b\u307c\u6955\u5186\u5f62\u306e\u8eca\u7dda\u3067\u305d\u3053\u306b\u79fb\u52d5\u3057\u307e\u3059\uff08\u30b1\u30d7\u30e9\u30fc\u306e\u554f\u984c\u306e\u3088\u3046\u306b\u7126\u70b9\u3092\u5408\u308f\u305b\u3066\u3044\u307e\u305b\u3093\uff09\u3002 \u969c\u5bb3\u306b\u5bfe\u3059\u308b\u76f8\u5bfe\u7684\u306a\u52d5\u304d [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u306e\u30ed\u30bc\u30c3\u30c8\u306f\u3001\u969c\u5bb3\u3068\u3068\u3082\u306b\u79fb\u52d5\u3057\u307e\u3057\u305f\u3002 \u9280\u6cb3\u306e\u6881\u3001\u30b9\u30d1\u30a4\u30e9\u30eb\u30a2\u30fc\u30e0\u3001\u307e\u305f\u306f\u5bc6\u63a5\u306a\u4ef2\u9593\u306f\u3001\u8ef8\u65b9\u5411\u306e\u4e3b\u8981\u306a\u53ef\u80fd\u6027\u306e\u4e71\u308c\u3068\u3057\u3066\u59a8\u5bb3\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059 \u306e \u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3001\u305d\u308c\u306f\u4e00\u5b9a\u306e\u89d2\u5ea6\u901f\u5ea6\u03c9\u3067 s \u56de\u8ee2\u3002\u969c\u5bb3\u3092\u8986\u3046\u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u306b\u5909\u66f4\u3059\u308b\u3068\u3001\u661f\u306e\u30ec\u30fc\u30eb\u66f2\u7dda\u306f\u3001\u5186\u5f62\u9244\u9053\u306e\u89d2\u901f\u5ea6\u304c\u03c9 &#8216;=\u03c9-\u30a8\u30f3\u30c8\u306b\u306a\u308b\u3088\u3046\u306b\u5909\u63db\u3055\u308c\u307e\u3059\u3002 s \u30a8\u30d4\u30bf\u30b9\u904b\u52d5\u304c\u5909\u63db\u306e\u5f71\u97ff\u3092\u53d7\u3051\u306a\u3044\u307e\u307e\u306b\u3057\u3066\u3044\u308b\u9593\u3001\u6e1b\u3089\u3059\u3053\u3068\u3002\u661f\u306f\u30ed\u30bc\u30c3\u30c8\u306e\u4e0a\u3067\u52d5\u304d\u7d9a\u3051\u3066\u3044\u307e\u3059\u304c\u3001\u5468\u6ce2\u6570\u6bd4\u03ba\/\u03c9 &#8216;\u306f\u7570\u306a\u308a\u307e\u3059\u3002 Corotive Path\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3067\u306f\u3001\u03c9 &#8216;= 0\u3067\u3042\u308a\u3001epitical\u52d5\u304d\u306e\u307f\u304c\u8868\u793a\u3055\u308c\u307e\u3059\u3002 H.\u661f\u306f\u4e71\u308c\u3068\u306e\u76f8\u5bfe\u7684\u306a\u4e0a\u3092\u52d5\u304d\u307e\u3059\u3002 \u03c9 &#8216;\u306f\u901a\u5e38\u3001\u03c9\u3088\u308a\u3082\u91cf\u304c\u5c11\u306a\u3044\u305f\u3081\u3001\u661f\u306e\u30ed\u30bc\u30c3\u30c8\u306e\u307b\u3068\u3093\u3069\u306f\u3001\u52d5\u304d\u306e\u306a\u3044\u30b7\u30b9\u30c6\u30e0\u3088\u308a\u3082\u3001\u95a2\u9023\u3059\u308b\u53c2\u7167\u30b7\u30b9\u30c6\u30e0\u3067\u5faa\u74b0\u3054\u3068\u306b\u306f\u308b\u304b\u306b\u591a\u304f\u306e\u30a8\u30d4\u30b7\u30b1\u30eb\u30c9\u306e\u5b9f\u884c\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001Corotive\u8ecc\u9053\u5185\u306e\u661f\u306e\u76f8\u5bfe\u89d2\u5ea6\u901f\u5ea6\u306e\u5146\u5019\u306f\u6b63\u3067\u3001\u5916\u5074\u306f\u8ca0\u3067\u3059\u3002 \u5468\u6ce2\u6570\u6bd4\u304c\u03ba\/\u03c9 &#8216;\u30d5\u30eb\u6570\u306e\u5834\u5408\u3001\u30ed\u30bc\u30c3\u30c8\u306f\u9280\u6cb3\u306e\u4e2d\u5fc3\u5468\u8fba\u306e\u5faa\u74b0\u3042\u305f\u308a\u03ba\/\u03c9&#8217;\u30a8\u30d4\u30b7\u30b1\u30eb\u5faa\u74b0\u3067\u9589\u3058\u3089\u308c\u307e\u3059\u3002\u4e71\u308c\u306f\u3001\u6bd4\u7387\u03ba\/\u03c9 &#8216;\u306e\u91cf\u304c\u7279\u306b\u5f37\u304f\u661f\u306e\u7d4c\u8def\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u307e\u3059\u3002 m \u969c\u5bb3\u306e\u5bfe\u79f0\u6027\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 k = \u00b1 m \u304a\u304a &#8216; {displaystyle kappa = PM momega &#8216;} \u4e2d\u5fc3\u307e\u3067\u306e\u6700\u5927\u8ddd\u96e2\u306e\u9244\u9053\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u969c\u5bb3\u304b\u3089\u65ad\u5c64\u306b\u5909\u308f\u308a\u3001\u53d9\u4e8b\u8a69\u306e\u534a\u8ef8\u304c\u5897\u52a0\u3057\u307e\u3059\u3002\u3053\u306e\u5171\u9cf4\u73fe\u8c61\u306e\u6b63\u78ba\u306a\u8aac\u660e\u306f\u3001\u3053\u306e\u8a18\u4e8b\u306e\u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u306e\u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u5185\u3067\u53ef\u80fd\u3067\u3059\u3002\u6b21\u306e\u6bb5\u843d\u3067\u306f\u3001Lindblad\u306e\u5fdc\u7b54\u304c\u9280\u6cb3\u306e\u3089\u305b\u3093\u69cb\u9020\u306e\u5b89\u5b9a\u5316\u3068\u62e1\u6563\u306b\u3069\u306e\u3088\u3046\u306b\u5f71\u97ff\u3059\u308b\u304b\u3092\u81ea\u5df1\u6574\u5408\u7684\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u304c\u63d0\u793a\u3055\u308c\u307e\u3059\u3002 \u5fdc\u7b54\u306e\u52b9\u679c [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5171\u9cf4\u306e\u52b9\u679c\u306f\u3001\u969c\u5bb3\u3092\u542b\u3080\u9280\u6cb3\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u9023\u7d9a\u4f53\u306e\u6a5f\u68b0\u7684\u30a2\u30d7\u30ed\u30fc\u30c1\u3092\u9078\u629e\u3059\u308b\u5834\u5408\u3001\u6570\u5b66\u7684\u306b\u30e2\u30c7\u30eb\u5316\u3067\u304d\u307e\u3059\u3002\u30a8\u30ea\u30a2\u5bc6\u5ea6\u5206\u5e03\u03c3\u304c\u30b7\u30b9\u30c6\u30e0\u5185\u3067\u5165\u9662\u60a3\u8005\u3067\u306f\u306a\u3044\u3068\u4eee\u5b9a\u3059\u308b\u3068\u3001\u305d\u306e\u6642\u9593\u306e\u767a\u9054\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u6700\u521d\u306b\u30aa\u30a4\u30e9\u30fc\u65b9\u7a0b\u5f0f\u3092\u691c\u8a0e\u3057\u307e\u3059 \u2202\u03a3u\u2202t+ div \u2061 \uff08 \u03a3u\u2297u\uff09\uff09 =  &#8211;  \u2207 c s &#8211;  a \u2207 \u306e \u3001 {displaystyle {frac {partial sigma mathbf {u}} {partial t}}+operatorname {div} left\uff08sigma mathbf {u} otimes mathbf {u} right\uff09= -nabla c_ {s} -sigma nabla u\u3001} \u95a2\u6570 a {displaystyle sigma} \uff08\u571f\u5730\u5bc6\u5ea6\uff09\u3001 \u306e {displaystyle mathbf {u}} \uff08\u30d5\u30ed\u30fc\u30d5\u30a3\u30fc\u30eb\u30c9\uff09\u3068 \u306e {displaystyleu} \uff08\u53ef\u80fd\u6027\uff09\u3001\u304a\u3088\u3073\u300c\u30b5\u30a6\u30f3\u30c9\u30b9\u30d4\u30fc\u30c9\u300d c s {displaystyle c_ {s}} \u542b\u3080\u3002\u5f8c\u8005\u306f\u3001\u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af\u306a\u72b6\u614b\u65b9\u7a0b\u5f0f\u306b\u3088\u3063\u3066\u300c\u5727\u529b\u300d\u306b\u306a\u308a\u307e\u3059\u3002 p \u306b\u3088\u3063\u3066\u5272\u308a\u5f53\u3066\u3089\u308c\u307e\u3059 c s = d p \/ d a {displaystyle c_ {s} = dp\/dsigma} \u6c7a\u5b9a\u3002\u3059\u3079\u3066\u306e\u30b5\u30a4\u30ba\u306f\u3001\u90aa\u9b54\u3055\u308c\u306a\u3044\u6642\u9593\u306b\u4f9d\u5b58\u3057\u306a\u3044\u30b5\u30a4\u30ba\u3068\u59a8\u5bb3\u306e\u5408\u8a08\u3068\u898b\u306a\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u3059\u3079\u3066\u306e\u6a5f\u80fd\u306b\u5bfe\u3057\u3066\u30ed\u30fc\u30ab\u30eb\u304a\u3088\u3073\u6642\u9593\u4f9d\u5b58\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u304c\u4f5c\u6210\u3055\u308c\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 z\u3002 B.\u9762\u7a4d\u5bc6\u5ea6 a {displaystyle sigma} \u306b\u3088\u308b\u3068 a \uff08 r \u3001 \u03d5 \u3001 t \uff09\uff09 = a 0\uff08 r \uff09\uff09 + \u03a3~\uff08 r \u3001 \u03d5 \u3001 t \uff09\uff09 {displaystyle sigma\uff08r\u3001phi\u3001t\uff09= sigma _ {0}\uff08r\uff09+{tilde {sigma}}\uff08r\u3001phi\u3001t\uff09} \u90aa\u9b54\u3055\u308c\u305f\u3002 \u305d\u306e\u5f8c\u3001\u969c\u5bb3\u304b\u3089\u7d9a\u304f\u65b9\u7a0b\u5f0f\u306e\u90aa\u9b54\u3055\u308c\u306a\u3044\u682a\u5f0f\u3092\u6392\u9664\u3059\u308b\u3068\u3001\u30dd\u30a2\u30bd\u30f3\u30683\u3064\u306e\u8aa4\u52d5\u4f5c\u65b9\u7a0b\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u65b9\u7a0b\u5f0f\u306e\u30b7\u30b9\u30c6\u30e0\u306f\u3001\u30a2\u30d7\u30ed\u30fc\u30c1z\u306b\u3088\u3063\u3066\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 B.\u30d5\u30a9\u30fc\u30e0\u306e\u5bc6\u5ea6 \u03a3~\uff08 r \u3001 \u03d5 \u3001 t \uff09\uff09 = \u03a3~\u2217\uff08 r \uff09\uff09 cos \u2061 \uff08 m\u03a9St\u2212m\u03d5+f(r)\uff09\uff09 {displaystyle {tilde {sigma}}\uff08r\u3001phi\u3001t\uff09= {tilde {sigma}}^{*}\uff08r\uff09cos\u5de6\uff08momega _ {s} t-mphi +f\uff08r\uff09}} \u89e3\u6c7a\u3057\u305f\u3002\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u30b9\u30d1\u30a4\u30e9\u30eb\u5bc6\u5ea6\u6ce2\u306b\u5bfe\u5fdc\u3057\u307e\u3059 m {displaystyle m} \u8ca7\u3057\u304f\u3066 \u8a2d\u8a08\u6a5f\u80fd  f\uff08r\uff09 \u983b\u5ea6\u3067\u305d\u308c \u304a\u304a s {displaystyle omega _ {s}} \u786c\u304f\u56de\u8ee2\u3057\u307e\u3059\u3002\u30d1\u30bf\u30fc\u30f3\u306f\u3001\u30a2\u30b7\u30ab\u30df\u30c0\u3092\u5c01\u5370\u3059\u308b\u305f\u3081\u306b\u5e73\u548c\u306b\u3053\u308c\u306b\u5f93\u3044\u307e\u3059 m \u304a\u304a St 0 &#8211;  m \u03d5 + f \uff08 r \uff09\uff09 = 0 {displaystyle momega _ {s} t_ {0} -mphi +f\uff08r\uff09= 0\uff01\u3001} \u3001 \u3069\u3093\u306a m \u2260 0 {displaystyle mneq 0} \u30b9\u30d1\u30a4\u30e9\u30eb\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 \u03d5 = \u03d5 \uff08 r \uff09\uff09 = 1mf \uff08 r \uff09\uff09 \u3002 {displaystyle non- =\uff08r\uff09= {frac {1} {m}} f\uff08r\uff09\u3002}}  Galaxy\uff08ESO 269-57\uff09\u3068\u661f\u306e\u30ea\u30f3\u30b0\u30682\u3064\u306e\u306f\u3063\u304d\u308a\u72ec\u7acb\u3057\u305f\u30b9\u30d1\u30a4\u30e9\u30eb\u30a2\u30fc\u30e0\u3092\u5099\u3048\u305f \u4ed6\u306e\u969c\u5bb3\u306e\u81ea\u5df1\u77db\u76fe\u3057\u305f\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3082\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u5834\u5408\u3001\u65b9\u7a0b\u5f0f\u306e\u4ee3\u6570\u7cfb\u304c\u5f97\u3089\u308c\u3001\u30b9\u30d1\u30a4\u30e9\u30eb\u5bc6\u5ea6\u6ce2\u306e\u6761\u4ef6\u3092\u8868\u3059\u5206\u6563\u95a2\u4fc2\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5206\u6563\u65b9\u7a0b\u5f0f\u306b\u5f93\u3044\u307e\u3059 \u521d\u3081  &#8211;  m2\u03c92\u03ba2+ k2cs2\u03ba2= 2\u03c0G\u03a30|k|\u03ba2{displaystyle 1- {frac {m ^{2} omega ^{2}} {kappa ^{2}}}+{frac {k ^{2} c_ {s} ^{2}} {kappa ^{2}}}} = {kapma {kisigma _ ksigma} ^{2}}}} \u3001 \u306e\u4e2d\u306b \u304a\u304a = \u304a\u304a \uff08 r \uff09\uff09  &#8211;  \u304a\u304a s {displaystyle omega = omega\uff08r\uff09-mega _ {s}} \u534a\u5f84\u306e\u3042\u308b\u5186\u5f62\u7d4c\u8def\u306e\u89d2\u5ea6\u901f\u5ea6\u3068\u306f\u7570\u306a\u308b\u305f\u3081 r \u969c\u5bb3\u306e\u89d2\u5ea6\u901f\u5ea6\u3067\u3001 k = dfdr{displaystyle k = {frac {df} {dr}}} \u3089\u305b\u3093\u69cb\u9020\u306e\u5186\u5f62\u30b7\u30e3\u30d5\u30c8\u306e\u653e\u5c04\u72b6\u6570\u306f\u3001 k {displaystyle kappa} \u4e0a\u8a18\u306e\u3088\u3046\u306b\u751f\u3058\u308b\u58ee\u5927\u306a\u983b\u5ea6\uff1a k 2= 2 r \u304a\u304a d\u03a9dr+ 4 \u304a\u304a 2\u3002 {displaystyle kappa ^{2} = 2romega {frac {domega} {dr}}+4omega ^{2}\u3002} \u5206\u6563\u65b9\u7a0b\u5f0f\u3082\u5f62\u6210\u3057\u307e\u3059 m 2\u304a\u304a 2= k 2+ k 2c s2 &#8211;  2 pi g a 0| k | {displaystyle m^{2} omega^{2} = kappa^{2}+k^{2} c_ {s}^{2} -2pi gsigma _ {0} | k |} \u3001 \u3057\u305f\u304c\u3063\u3066\u3001\u5730\u533a\u306e\u6ce2\u306e\u6570\u306e\u89e3\u6c7a\u7b56\u304c\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u4e00\u822c\u306b\u30012\u3064\u306e\u30d6\u30e9\u30f3\u30c1\uff1a c s2| k | = g pi a \u00b1 G2\u03c02\u03a32+cs2m2\u03c92\u2212cs2\u03ba2\u3001 {displaystyle c_{s}^{2}|k|=Gpi Sigma pm {sqrt {G^{2}pi ^{2}Sigma ^{2}+c_{s}^{2}m^{2}omega ^{2}-c_{s}^{2}kappa ^{2}}},}  \u6ce2 \uff08+\uff09\u304a\u3088\u3073 \u9577\u3044\u6ce2 \uff08 &#8211; \uff09\u540d\u524d\u304c\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002 [7] \u30ea\u30f3\u30c9\u30d6\u30e9\u30c3\u30c9\u5fdc\u7b54\u306f\u3001\u56de\u8def\u6ce2\u306e\u6570\u304c\u30bc\u30ed\u306b\u306a\u308b\u305f\u3081\u3001\u9577\u3044\u6ce2\u304c\u6d88\u3048\u308b\u5834\u6240\u3067\u8a8d\u8b58\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002 m \u304a\u304a = \u00b1 k \u3002 {displaystyle momega = pm kappa\u3002} OLR\u306e\u5916\u304a\u3088\u3073ILR\u5185\u3067\u3001 \u6ce2 \u5b58\u5728\u3002 Corotive\u8ecc\u9053\u306e\u5468\u308a\u306e\u9818\u57df\u306f\u3001\u30eb\u30fc\u30c8\u306e\u4e0b\u306e\u5f0f\u304c\u8ca0\u306b\u306a\u308b\u305f\u3081\u3001\u03c9\u306f\u975e\u5e38\u306b\u5c0f\u3055\u3044\u305f\u3081\u3001\u3053\u306e\u30e2\u30c7\u30eb\u3067\u306f\u672a\u89e3\u6c7a\u306e\u6319\u52d5\u3092\u793a\u3057\u307e\u3059\u3002 H. g 2pi 2a 2+ c s2m 2\u304a\u304a 2< c s2k 2\u3002 {displaystyle g ^{2} pi ^{2} sigma ^{2}+c_ {s} ^{2} m ^{2} omega ^{2} "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/20826#breadcrumbitem","name":"Lind Blad-Resonoms  &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]