The main secular resonances nu6, nu5 and nu16 in the asteroid belt

Details The main secular resonances nu6, nu5 and nu16 in the asteroid belt The main secular resonances nu6, nu5 and nu16 in the asteroid belt

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..51..169m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 51, no. 2, 1991, p. 169-197. Research supported by CEC.

Statistics

Computation

23

Asteroid Belts, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Perturbation Theory, Analytic Functions, Computational Astrophysics, Computerized Simulation, Perihelions

Scientific paper

An analytical model, suitable for a global description of the dynamics in a secular resonance of order 1, is derived from the general perturbation study developed in a previous paper (Morbidelli and Henrard, 1991). Such a model is then used to study the secular resonances nu5, nu6, and nu16, and pictures illustrating the secular motion are obtained. The peculiarities of the nu5 resonances are discussed in detail. The results are compared with those obtained by the theories of Yoshikawa and Nakai-Kinoshita. Some numerical simulations performed by Froeschle and Scholl (1986, 1987, 1988, 1989, 1990), are discussed in the light of the new theoretical results. New numerical experiments on the nu6 resonance are also presented.

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