Electronic Resource
Springer
Celestial mechanics and dynamical astronomy
62 (1995), S. 219-261
ISSN:
1572-9478
Keywords:
Planetary motion
;
perturbation theory
;
KAM theory
;
celestial mechanics
;
stability of planetary system
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Using new expansions of the planetary Hamiltonian in Poincaré canonical elliptic variables, Arnold's theorem for the existence of quasiperiodic orbits in degenerated cases is applied to the general spatial planetary three body problem. The existence of quasiperiodic motion is demonstrated for almost all values of the ratio of semi-major axis α in ]0, 0.8] and almost all values of the mutual inclination up to about 1 degree. This extends the previous result of Arnold (1963).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00692089
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