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Next: 1. Introduction

A. Milani and G.F. Gronchi

Proper elements for Earth-crossers

A. Milani - G.F. Gronchi

University of Pisa, Department of Mathematics, Pisa, 56127, Italy

September 19, 1998


A generalization of the averaging principle for planet-crossing orbits is given, together with an algorithm computing the solutions of the corresponding averaged equations. This allows us to define proper frequencies and proper elements for planet-crossing objects with arbitrary semimajor axis, eccentricity and inclination, in the approximation neglecting the eccentricities and the inclinations of the planetary orbits.

minor planets - comets - celestial mechanics


G.-F. Gronchi