Approximate Analytic Solutions of the Averaged Three-Body Problem at First-Order Resonance with Large Oblateness of the Central Planet

Details Approximate Analytic Solutions of the Averaged Three-Body Problem at First-Order Resonance with Large Oblateness of the Central Planet Approximate Analytic Solutions of the Averaged Three-Body Problem at First-Order Resonance with Large Oblateness of the Central Planet

Jan 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..79...15s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 79, Issue 1, p. 15-27 (2001).

Astronomy and Astrophysics

Astronomy

2

Satellite, Planet, Oblateness, Resonance, Satellite, Planet, Oblateness, Resonance

Scientific paper

For the general spatial planetary three-body problem at first-order mean motion resonance under the large oblateness of the central planet, the analytic solutions of the averaged motion are obtained with the help of the Weierstrass functions accurate to the third-degree terms in the satellites' eccentricities and inclinations. The behavior of solutions is investigated on the phase plane.

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