A. Milani and G.F. Gronchi

**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

- 1. Introduction
- 2. A generalized averaging principle
- 3. Algorithm description
- 4. Examples
- 5. Conclusions
- Bibliography
- About this document ...

2000-05-16