Mathematical substantiation of a theory of orbital correction using a solar sail

Physics

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Elliptical Orbits, Error Correcting Devices, Satellite Orbits, Solar Sails, Spacecraft Control, Algorithms, Apsides, Position Errors, Trajectory Optimization

Scientific paper

The paper examines the two-dimensional problem of the optimal correction of the geocentric elliptical orbit of a spacecraft using a solar sail. A combination of the averaging and small-parameter methods is used to obtain an approximately optimal solution. The problem is examined for arbitrary initial conditions in the sense of the orientation of the apsidal lines and the dimensions of the elliptical orbit with fixed constraints on the solar-sail thrust force.

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