Application of the theory of multipoint boundary value problems to determine the orbit of a space object

Mathematics

Scientific paper

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Astrodynamics, Boundary Value Problems, Orbit Calculation, Satellite Orbits, Algorithms, Differential Equations, Equations Of Motion, Matrices (Mathematics)

Scientific paper

A method for determining the orbit of a space object from angular measurements is proposed which is based on the use of the theory of multipoint boundary value problems for the set of ordinary nonlinear differential equations describing the motion of the object in the terrestrial spheroid field. The proposed approach makes it possible to synthesize algorithms for finding the orbit of a space object according to a minimum number of measurements.

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