Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-27T20:42:38.848Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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