Proper elements for highly inclined asteroidal orbits

Details Proper elements for highly inclined asteroidal orbits Proper elements for highly inclined asteroidal orbits

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60...29l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, vol. 60, no. 1, p. 29-56

Mathematics

Dynamical Systems

25

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

Scientific paper

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.

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