Dynamics of the conservative and dissipative spin-orbit problem

被引:14
作者
Celletti, Alessandra
Froeschle, Claude
Lega, Elena
机构
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Observ Nice, F-06304 Nice 4, France
关键词
spin-orbit coupling; resonances; dissipative forces;
D O I
10.1016/j.pss.2006.11.023
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate the dynamics of the spin-orbit coupling under different settings. First we consider the conservative problem, and then we add a dissipative torqije as provided by MacDonald's or Darwin's models. By means of frequency analysis and of the computation Of the maximum Lyapunov indicator we explore the different dynamical behaviors associated to the main resonances. In particular, we focus on the 1:1 and 3:2 resonances in which the Moon and Mercury are actually trapped. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:889 / 899
页数:11
相关论文
共 20 条
[1]   Hamiltonian stability of spin-orbit resonances in celestial mechanics [J].
Celletti, A ;
Chierchia, L .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2000, 76 (04) :229-240
[2]   ANALYSIS OF RESONANCES IN THE SPIN-ORBIT PROBLEM IN CELESTIAL MECHANICS - THE SYNCHRONOUS RESONANCE .1. [J].
CELLETTI, A .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1990, 41 (02) :174-204
[3]  
Celletti A, 2006, DISCRETE CONT DYN S, V16, P757
[4]   Mercury's capture into the 3/2 spin-orbit resonance as a result of its chaotic dynamics [J].
Correia, ACM ;
Laskar, J .
NATURE, 2004, 429 (6994) :848-850
[5]   The spin-orbit resonant rotation of Mercury: A two degree of freedom Hamiltonian model [J].
D'Hoedt, S ;
Lemaitre, A .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2004, 89 (03) :267-283
[6]  
DARWIN G, 1908, TIDAL FRICTION COSMO, V2
[7]   FINAL SPIN STATES OF PLANETS AND SATELLITES [J].
GOLDREIC.P .
ASTRONOMICAL JOURNAL, 1966, 71 (01) :1-&
[8]   SPIN-ORBIT COUPLING IN SOLAR SYSTEM [J].
GOLDREICH, P ;
PEALE, S .
ASTRONOMICAL JOURNAL, 1966, 71 (06) :425-+
[9]   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
[10]   Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave [J].
Itin, AP ;
Neishtadt, AI ;
Vasiliev, AA .
PHYSICA D, 2000, 141 (3-4) :281-296