Separable and partially separable systems in the light of the inverse problem of dynamics

被引：7

作者：

Puel, F

机构：

[1] Observatoire de Besançon

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1995年 / 63卷 / 01期

关键词：

inverse problem of dynamics; separability; compatibility;

D O I：

10.1007/BF00691914

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Using a generalization of Joukovsky's formula, we determine three-dimensional families of curves that are orbits only in separable potentials and we note the importance of 'iso-energetic' families of orbits. We also obtain more general families that are orbits of partially separable systems and we examine from this point of view the classical curvilinear coordinate systems.

引用

页码：41 / 57

页数：17

共 16 条

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