Title:
Proper elements for highly inclined asteroidal orbits
Authors:
Lemaitre, Anne; Morbidelli, Alessandro
Affiliation:
AAFUNDP, Namur, Belgium ABFUNDP, Namur, Belgium
Journal:
Celestial Mechanics and Dynamical Astronomy, vol. 60, no. 1, p. 29-56 (CeMDA
Homepage)
Publication Date:
09/1994
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
ASTEROIDS, ASTRONOMICAL MODELS, ECCENTRICITY, KEPLER LAWS, ORBIT
CALCULATION, ORBIT PERTURBATION, ORBITAL ELEMENTS, SOLAR ORBITS,
COMPUTERIZED SIMULATION, DYNAMICAL SYSTEMS, HAMILTONIAN FUNCTIONS,
ITERATIVE SOLUTION, MATHEMATICAL MODELS, NEWTON-RAPHSON METHOD,
SOLAR SYSTEM
Bibliographic Code:
1994CeMDA..60...29L
Abstract
Based on Williams' work and rewritten in action angle variables, a method
for the calculation of proper elements is here
presented. The averaging over the long periodic terms is performed
by the semi numerical method developed by Henrard (1990);
no series expansion in eccentricity or inclination of the asteroid
is used which allows calculatng proper elements for highly
inclined orbits. Conversely, the theory is truncated at the first degree
in the eccentricity and the inclination of the perturbing
planets. A few tests about accuracy and consistency are presented.