The web of three-planet resonances in the outer Solar System

被引：46

作者：

Guzzo, M ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

来源：

ICARUS | 2005年 / 174卷 / 01期

关键词：

planetary dynamics; Jovian planets; resonances; celestial mechanics;

D O I：

10.1016/j.icarus.2004.10.015

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper we numerically detect the web of three-planet resonances (i.e., resonances among mean anomalies, nodes and perihelia of three planets) with respect to the variation of the semi-major axis of Saturn and Jupiter, in a model including the planets from Jupiter to Neptune. The measure confirms the relevance of these resonances in the long-term evolution of the outer Solar System and provides a technique to identify some of the related coefficients. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：273 / 284

页数：12

共 30 条

[1]

BRETAGNON P, 1981, ASTRON ASTROPHYS, V101, P342

[2]

BRETAGNON P, 1982, ASTRON ASTROPHYS, V114, P278

[3] Graphical evolution of the Arnold web:: From order to chaos [J].

Froeschlé, C ;

Guzzo, M ;

Lega, E .

SCIENCE, 2000, 289 (5487) :2108-2110

[4] Fast Lyapunov indicators. Application to asteroidal motion [J].

Froeschle, C ;

Lega, E ;

Gonczi, R .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1997, 67 (01) :41-62

[5] Construction of a Nekhoroshev like result for the asteroid belt dynamical system [J].

Guzzo, M ;

Morbidelli, A .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1997, 66 (03) :255-292

[6] Long-term stability analysis of quasi integrable degenerate systems through the spectral formulation of the Nekhoroshev theorem [J].

Guzzo, M .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2002, 83 (1-4) :303-323

[7]

Guzzo M, 2001, DISCRETE CONT DYN-B, V1, P1

[8] On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems [J].

Guzzo, M ;

Lega, E ;

Froeschlé, C .

PHYSICA D-NONLINEAR PHENOMENA, 2002, 163 (1-2) :1-25

[9] Improved leap-frog symplectic integrators for orbits of small eccentricity in the perturbed Kepler problem [J].

Guzzo, M .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2001, 80 (01) :63-80

[10] A NUMERICAL EXPERIMENT ON THE CHAOTIC BEHAVIOR OF THE SOLAR-SYSTEM [J].

LASKAR, J .

NATURE, 1989, 338 (6212) :237-238

← 1 2 3 →