The Orbital Dynamics of Synchronous Satellites:Irregular Motions in the 2:1 Resonance

Jarbas Cordeiro Sampaio; Rodolpho Vilhena de Moraes; Sandro da Silva Fernandes

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The Orbital Dynamics of Synchronous Satellites:Irregular Motions in the 2:1 Resonance

机译：同步卫星的轨道动力学：2：1共振中的不规则运动

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The orbital dynamics of synchronous satellites is studied. The 2:1 resonance is considered; in other words, the satellite completes two revolutions while the Earth completes one. In the development of the geopotential, the zonal harmonics J_(20) and J_(40) and the tesseral harmonics J_(22) and J_(42) are con-sidered. The order of the dynamical system is reduced through successive Mathieu transforma-tions, and the final system is solved by numerical integration. The Lyapunov exponents are used as tool to analyze the chaotic orbits.

机译：研究了同步卫星的轨道动力学。考虑2：1的共振；换句话说，卫星完成了两转，而地球完成了一转。在地势的发展中，考虑了纬向谐波J_（20）和J_（40）以及地纬谐波J_（22）和J_（42）。通过连续的Mathieu变换降低动力学系统的阶数，并通过数值积分求解最终系统。李雅普诺夫指数用作分析混沌轨道的工具。

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《Mathematical Problems in Engineering》 |2012年第2期|p.293-314|共22页
作者
Jarbas Cordeiro Sampaio; Rodolpho Vilhena de Moraes; Sandro da Silva Fernandes;
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作者单位

Departamento deMatematica, Universidade Estadual Paulista (UNESP),12516-410 Guaratinguetd-SP, Brazil;

Instituto de Ciencia e Tecnologia, Universidade Federal de Sao Paulo (UNIFESP),12231-280 Sao Jose dos Campos, SP, Brazil;

Departamento deMatemdtica, Instituto Tecnoldgico de Aerondutica (ITA),12228-900 Sao Jose dos Campos, SP, Brazil;

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7. The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance [O] . Sampaio Jarbas Cordeiro, Moraes Rodolpho Vilhena de, Fernandes Sandro da Silva 2012

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The Orbital Dynamics of Synchronous Satellites:Irregular Motions in the 2:1 Resonance

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