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Proper Elements of the Asteroids: A Semi - Analytical Method

Published online by Cambridge University Press:  07 August 2017

Anne Lemaitre
Anne Lemaitre*
Affiliation:
Department of Mathematics Facultés N.D. de la Paix Rempart de la Vierge,8 B-5000 NAMUR, Belgium Email: ALEMAITRE@BNANDP51.bitnet

Abstract

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We propose here the first results of the semi analytical method of Henrard(1990) applied to the calculation of proper elements for the asteroids.

Keywords

Proper ElementsAsteroidsSemi analytical Method
Type
Part III - The Asteroidal Belt
Information
Symposium - International Astronomical Union , Volume 152: Chaos, Resonance and Collective Dynamical Phenomena in the Solar System , 1992 , pp. 133 - 137
Copyright
Copyright © Kluwer 1992 

References

Henrard, J.: 1990, “A Semi-Numerical Perturbation Method for Separable Hamiltonian Systems”, Celest. Mech. and Dyn. Astr. 49, 43–67 Google Scholar
Knezevic, : 1988, “Asteroid Mean Orbital Elements”, Bull. Obs. Astron. Belgrade 139, 1–6 Google Scholar
Knezevic, : 1989, “Asteroid long-periodic perturbations: the second order Hamiltonian”, Celest. Mech. and Dyn. Astr. 46, 147–158 CrossRefGoogle Scholar
Kozai, Y.: 1985, “Stability of Asteroid Motions”, in Resonances in the Motion of Planets, Satellites and Asteroids , Ferraz-Mello, S., Sessin, W., ed(s)., 117–127, Universidade de Sao Paulo, Sao paulo, Bresil Google Scholar
Lemaitre, A., Morbidelli, A.: 1992?, “Calculation of Proper Elements for high inclined asteroidal orbits by Henrard's semi - analytical Perturbation Method”, Celest. Mech. and Astr. Dyn. , in preparation Google Scholar
Milani, A., Knezevic, Z.: 1990, “Secular Perturbation Theory and Calculation of Asteroid Proper Elements”, Celest. Mech. and Dyn. Astr. 49, 347–411 CrossRefGoogle Scholar
Williams, J.G.: 1969, “Secular Perturbations in the Solar System”, Ph.D. Dissertation , University of California, Los Angeles Google Scholar
Yuasa, M.: 1973, “Theory of Secular Perturbations of asteroids Including Terms of Higher Orders and Higher Degrees”, Publ. Astron. Soc. Japan 25, 399–445 Google Scholar