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.