NON INTEGRABILITY OF THE J(2) PROBLEM

被引：48

作者：

Irigoyen, Maylis ^{[1
]}

Simo, Carles ^{[2
]}

机构：

[1] Univ Paris 02, F-75006 Paris, France

[2] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1993年 / 55卷 / 03期

关键词：

Non integrability; second degree zonal harmonic;

D O I：

10.1007/BF00692515

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the motion of a massless particle around an oblate planet, keeping only in the expression of the perturbing potential the second degree zonal harmonic. We prove the analytical non integrability of this problem, by using Ziglin's theorem and the Yoshida criterion for homogeneous potentials.

引用

页码：281 / 287

页数：7

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