ANALYSIS OF RESONANCES IN THE SPIN-ORBIT PROBLEM IN CELESTIAL MECHANICS - HIGHER-ORDER RESONANCES AND SOME NUMERICAL EXPERIMENTS .2.

被引：25

作者：

CELLETTI, A

机构：

[1] Dipartimento di Matematica, II Università di Roma, Roma, 00133, Via Fontanile di Carcaricola

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1990年 / 41卷 / 04期

关键词：

D O I：

10.1007/BF00945951

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the stability of the non-synchronous resonances in the spin-orbit problem in Celestial Mechanics. Using a mathematical model obtained making some restrictions on the physical problem, we trap the 3:2 resonance between invariant surfaces for realistic values of the physical and orbital parameters in the cases of the Moon and other three satellites of Saturn. We also provide some remarks on higher order resonances and on the Mercury-Sun system. Moreover we apply some numerical techniques in order to determine the break-down threshold of the invariant tori. In the last section we give some remarks on the robustness of the golden mean torus. © 1990 Birkhäuser Verlag.

引用

页码：453 / 479

页数：27

共 22 条

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