Perihelion Librations in the Secular Three-Body Problem

被引：6

作者：

Pinzari, Gabriella ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat T Levi Civita, Via Trieste 63, I-35131 Padua, Italy

来源：

JOURNAL OF NONLINEAR SCIENCE | 2020年 / 30卷 / 04期

基金：

欧洲研究理事会;

关键词：

Three-body problem; Normal form theory; Euler integral; Canonical coordinates; Perihelion librations; INSTABILITY; STABILITY;

D O I：

10.1007/s00332-020-09624-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A normal form theory for non-quasiperiodic systems is combined with the special properties of the partially averaged Newtonian potential pointed out in Pinzari (Celest Mech Dyn Astron 131(5):22, 2019) to prove, in the averaged, planar three-body problem, the existence of a plenty of motions where, periodically, the perihelion of the inner body affords librations about one equilibrium position and its ellipse squeezes to a segment before reversing its direction and again decreasing its eccentricity (perihelion librations).

引用

页码：1771 / 1808

页数：38

共 18 条

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