The virial-based solution for the velocity of gaseous sphere gravitational contraction |
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Authors: | V I Ferronsky S A Denisik S V Ferronsky |
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Institution: | (1) Water Problems Institute of the Academy of Sciences of the USSR, 13/3 Sadovaya-Chernogriazskaya, K-64 Moscow, USSR |
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Abstract: | It is found that the relationship between the potential energy and the moment of the inertia independent of the radial mass distribution obtained earlier for the sphere also holds in the case of the ellipsoidal mass distribution for the ellipsoid of rotation.The possibility of application of the energy virial relations for solution of the evolutionary problems of the gravitating gaseous sphere, with the help of the relationship found earlier, is demonstrated. The physical conditions on the gaseous sphere boundary are introduced. The existence of two branches of evolution, the proton one and the electron one, is established. The problem of the gravitational contraction velocity during sphere evolution is solved. The relationship between the boundary temperature and the gaseous sphere radius as well as between the luminosity and the body mass is obtained. Some limiting relations for the final stage of the gaseous sphere evolution are found.
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![ncy](/content/hx52446123666374/xxlarge1085.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![chcy](/content/hx52446123666374/xxlarge1095.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![pcy](/content/hx52446123666374/xxlarge1087.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![khcy](/content/hx52446123666374/xxlarge1093.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) . ![Ucy](/content/hx52446123666374/xxlarge1059.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![lcy](/content/hx52446123666374/xxlarge1083.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![ucy](/content/hx52446123666374/xxlarge1091.gif) ![shchcy](/content/hx52446123666374/xxlarge1097.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![ucy](/content/hx52446123666374/xxlarge1091.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![tscy](/content/hx52446123666374/xxlarge1094.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![pcy](/content/hx52446123666374/xxlarge1087.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) —![pcy](/content/hx52446123666374/xxlarge1087.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![ecy](/content/hx52446123666374/xxlarge1101.gif) ![lcy](/content/hx52446123666374/xxlarge1083.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![kcy](/content/hx52446123666374/xxlarge1082.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) . ![Rcy](/content/hx52446123666374/xxlarge1056.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![chcy](/content/hx52446123666374/xxlarge1095.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![kcy](/content/hx52446123666374/xxlarge1082.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![tscy](/content/hx52446123666374/xxlarge1094.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![pcy](/content/hx52446123666374/xxlarge1087.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![tscy](/content/hx52446123666374/xxlarge1094.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![ecy](/content/hx52446123666374/xxlarge1101.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![lcy](/content/hx52446123666374/xxlarge1083.gif) ![yucy](/content/hx52446123666374/xxlarge1102.gif) ![tscy](/content/hx52446123666374/xxlarge1094.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) . ![Ncy](/content/hx52446123666374/xxlarge1053.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![jcy](/content/hx52446123666374/xxlarge1081.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![mcy](/content/hx52446123666374/xxlarge1084.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![yacy](/content/hx52446123666374/xxlarge1103.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![mcy](/content/hx52446123666374/xxlarge1084.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![mcy](/content/hx52446123666374/xxlarge1084.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![softcy](/content/hx52446123666374/xxlarge1100.gif) ![jcy](/content/hx52446123666374/xxlarge1081.gif) ![mcy](/content/hx52446123666374/xxlarge1084.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) , ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![kcy](/content/hx52446123666374/xxlarge1082.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![mcy](/content/hx52446123666374/xxlarge1084.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![softcy](/content/hx52446123666374/xxlarge1100.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![ucy](/content/hx52446123666374/xxlarge1091.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) . ![Ocy](/content/hx52446123666374/xxlarge1054.gif) ![pcy](/content/hx52446123666374/xxlarge1087.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![lcy](/content/hx52446123666374/xxlarge1083.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![softcy](/content/hx52446123666374/xxlarge1100.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![kcy](/content/hx52446123666374/xxlarge1082.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![softcy](/content/hx52446123666374/xxlarge1100.gif) ![Icy](/content/hx52446123666374/xxlarge1048.gif) ![pcy](/content/hx52446123666374/xxlarge1087.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![lcy](/content/hx52446123666374/xxlarge1083.gif) ![softcy](/content/hx52446123666374/xxlarge1100.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![softcy](/content/hx52446123666374/xxlarge1100.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![softcy](/content/hx52446123666374/xxlarge1100.gif) ![Icy](/content/hx52446123666374/xxlarge1048.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![ncy](/content/hx52446123666374/xxlarge1085.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![lcy](/content/hx52446123666374/xxlarge1083.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![yucy](/content/hx52446123666374/xxlarge1102.gif) ![shchcy](/content/hx52446123666374/xxlarge1097.gif) ![iecy](/content/hx52446123666374/xxlarge1077.gif) ![scy](/content/hx52446123666374/xxlarge1089.gif) ![tcy](/content/hx52446123666374/xxlarge1090.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![dcy](/content/hx52446123666374/xxlarge1076.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![ecy](/content/hx52446123666374/xxlarge1101.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![lcy](/content/hx52446123666374/xxlarge1083.gif) ![yucy](/content/hx52446123666374/xxlarge1102.gif) ![tscy](/content/hx52446123666374/xxlarge1094.gif) ![icy](/content/hx52446123666374/xxlarge1080.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![zcy](/content/hx52446123666374/xxlarge1079.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![vcy](/content/hx52446123666374/xxlarge1074.gif) ![ocy](/content/hx52446123666374/xxlarge1086.gif) ![gcy](/content/hx52446123666374/xxlarge1075.gif) ![shcy](/content/hx52446123666374/xxlarge1096.gif) ![acy](/content/hx52446123666374/xxlarge1072.gif) ![rcy](/content/hx52446123666374/xxlarge1088.gif) .
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本文献已被 SpringerLink 等数据库收录! |
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