An analytical approach to the motion of the satellites of Neptune

Details An analytical approach to the motion of the satellites of Neptune An analytical approach to the motion of the satellites of Neptune

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992asdy.conf.2191s&link_type=abstract

IN: Astrodynamics 1991; Proceedings of the AAS/AIAA Astrodynamics Conference, Durango, CO, Aug. 19-22, 1991. Pt. 3 (A92-43251 18

Astronomy and Astrophysics

Astronomy

Hamiltonian Functions, Lie Groups, Neptune Satellites, Orbital Elements, Satellite Orbits, Bessel Functions, Equations Of Motion, Numerical Integration, Runge-Kutta Method, Solar Planetary Interactions, Two Body Problem, Voyager 2 Spacecraft

Scientific paper

A complete analytical dynamic theory for the motion of the two satellites of Neptune has been constructed, accurate to approximately .01 arc second over several hundred years. The solution uses the Lie transform approach advanced by Deprit and is consistent with respect to the magnitudes of the disturbing functions, including all perturbations to an accuracy of 10 exp -8 relative to the two-body potentials. Short-period variables are related via the ratio of their mean motions. Initial constants and mass parameters come from the data obtained during the Voyager II encounter with Neptune in 1989.

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