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arXiv 0902.1293math.DS
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广义光引力Chermnykh问题中哈密顿量在三角形平衡点附近的线性化

Linearization of the Hamiltonian around the triangular equilibrium points in the generalized photogravitational Chermnykh's problem

Badam Singh Kushvah

摘要:

在广义光引力Chermnykh问题中,哈密顿量在三角形平衡点附近被线性化。较大的一次球被认为是辐射源,而较小的一次球被认为是扁球体。我们找到了哈密顿量二阶部分的正规形。为此,我们已经解决了上述方程组。.用解析和数值方法研究了辐射压、引力势对带的线性稳定性的影响。

英文摘要:

Linearization of the Hamiltonian is being performed around the triangular equilibrium points in the generalized photogravitational Chermnykh's problem. The bigger primary is being considered as a source of radiation and small primary as an oblate spheroid. We have found the normal form of the second order part of the Hamiltonian. For this we have solved the aforesaid set of equations. . The effect of radiation pressure, gravitational potential from the belt on the linear stability have been examined analytically and numerically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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