Orbit Improvement from Satellite Imaging Data Obtainable From Outer Planet Missions

Details Orbit Improvement from Satellite Imaging Data Obtainable From Outer Planet Missions Orbit Improvement from Satellite Imaging Data Obtainable From Outer Planet Missions

Aug 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973cemec...8...99a&link_type=abstract

Celestial Mechanics, Volume 8, Issue 1, pp.99-110

Statistics

Computation

2

Scientific paper

Equations of motion are established for a dynamical system in which a spacecraft flies close to and interacts with an outer planet and one or more of its satellites. For the computation of the state and mass partials needed in a simultaneous orbit correction ofn interacting bodies, a notably compact set of variational equations is derived. The above system of differential equations is integrated numerically on a computer. Spacecraft-satellite direction measurements accurate to ±10″ were simulated along three representative trajectories (Mariner/Jupiter/Saturn 1977 missions) approaching Io, Titan, and Iapetus to within 41 000, 13 000, and 7 000 km, respectively. For example, from measurements distributed evenly at half-day intervals over a 60-day arc centered on encounter, but none so close that the satellite would fill more than 0.5° in the sky, the orbit of the satelliteand that of the spacraft can be estimated to about 100 km. In addition, the mass of the satellite is obtainable to 2.6% for Io, 1.4% for Titan, and 9% for Iapetus. If only measurements up to 3 days before satellite encounter are included, the orbit of the satelliteor that of the spacecraft can be estimated to about 300 km, all information on mass being lost. The paper concludes with a brief discussion of the need for future work on the orbits of the satellites of the outer planets.

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