Extended Schubart averaging

Details Extended Schubart averaging Extended Schubart averaging

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60..173m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, vol. 60, no. 1, p. 173-186

Astronomy and Astrophysics

Astronomy

19

Asteroids, Astronomical Models, Average, Equations Of Motion, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Solar Orbits, Eccentricity, Jupiter (Planet), Mathematical Models, Solar System

Scientific paper

The purpose of this paper is the presentation of an integrator for the average motion of an asteroid in mean motion commensurability with Jupiter. The program is valid for any (p + q)/p mean motion commensurability (except when q = 0) and uses a double precision version of DE as propagator. The averaged equations of motion of the asteroid are evaluated in a non-singular way for any value of the eccentricities and the inclinations and the orbit of Jupiter is described by the most important terms in Longstop 1B. This integrator can be considered as an extension of the well known Schubart Averaging in which Jupiter is moving on a fixed ellipse.

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