Autonomous orbit plane determination with the aid of landmarks on the surface of a central planet

Physics

Scientific paper

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Landmarks, Orbit Calculation, Orbital Position Estimation, Planetary Surfaces, Satellite Orientation, Angular Distribution, Maximum Likelihood Estimates, Space Navigation

Scientific paper

Parameters to be determined, and derivation of the likelihood equation are discussed, with the angular distance between a landmark located on the planet's surface and the direction to the planet's center at the instant when the plane of measurement is at right angles to the orbit plane. Typical formations visible on the planet's surface, whether artificial or natural in origin, such as mountain peaks, craters, river confluences, large cities (as applicable to the planet) are considered as landmarks. The Kepler orbit plane is to be determined from optical measurements data using such topocentric landmarks. An eigenvector solution of the maximum likelihood equation, using a correlation matrix, is presented in optimizing landmark selection.

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