The Copenhagen problem with a quasi-homogeneous potential

被引：6

作者：

Fakis, Demetrios ^{[1
]}

Kalvouridis, Tilemahos ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Mech, Athens, Greece

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2017年 / 362卷 / 05期

关键词：

Copenhagen problem of three bodies; Zero-velocity curves and surfaces; Trapping regions; Roche lobes; Equilibrium points; Parametric variation; Stability; Focal points and curves; ZERO-VELOCITY CURVES; PERIODIC-SOLUTIONS; ASYMPTOTIC ORBITS; RING PROBLEM; BODY; GRAVITATION; PRINCIPLE; TERMINATIONS; BIFURCATIONS; PROPERTY;

D O I：

10.1007/s10509-017-3077-0

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Copenhagen problem is a well-known case of the famous restricted three-body problem. In this work instead of considering Newtonian potentials and forces we assume that the two primaries create a quasi-homogeneous potential, which means that we insert to the inverse square law of gravitation an inverse cube corrective term in order to approximate various phenomena as the radiation pressure of the primaries or the non-sphericity of them. Based on this new consideration we investigate the equilibrium locations of the small body and their parametric dependence, as well as the zero-velocity curves and surfaces for the planar motion, and the evolution of the regions where this motion is permitted when the Jacobian constant varies.

引用

页数：18

共 42 条

[1] Out-of-plane equilibria in the symmetric collinear restricted four-body problem with radiation pressure [J].