Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jansc..27...63v&link_type=abstract
(American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Jackson, Wyo.,
Astronomy and Astrophysics
Astronomy
Angular Momentum, Maximum Principle, Optimal Control, Solar Radiation, Solar Sails, Spacecraft Propulsion, Asymptotic Methods, Gravitation, Orbital Mechanics, Pontryagin Principle, Solar Energy, Spacecraft Trajectories, Steepest Descent Method
Scientific paper
The paper treats the problem of determining the optimum control strategy for a solar sail spacecraft that leads to maximum increase in the semimajor axis (and thus total energy) in one revolution and which yields a maximum increase in the semilatus rectum (and thus angular momentum) after one revolution. Application of Pontryagin's maximum principle provides necessary conditions to be satisfied by the optimal control strategy. The solutions are found in implicit form in terms of the state and adjoint variables, and approximate explicit representations are determined in terms of an asymptotic series in the small parameter denoting the ratio of solar radiation and gravity forces. The approximate analytical results are substantiated by a numerical iteration procedure based on the steepest-descent method.
Modi V. J.
van der Ha J. C.
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