Other
Scientific paper
Mar 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992kosis..30..194s&link_type=abstract
Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 30, no. 2, Mar.-Apr. 1992, p. 194-202. In Russian.
Other
Interplanetary Trajectories, Manned Mars Missions, Solar Sails, Space Flight, Trajectory Optimization, Planetary Orbits, Pontryagin Principle, Spacecraft Motion, Spacecraft Trajectories
Scientific paper
Time-optimal trajectories of space flights from the earth's sphere of action to the Martian action sphere are found. The spheres of action are assumed to be point-size, i.e., the initial and final states of a spacecraft and the corresponding positions of planets are the same. The initial velocity of a spacecraft is equal to the earth's velocity. The velocities of a spacecraft and Mars at the final point are not equalized. The earth and Martian orbits are assumed to be coplanar, and the trajectories of a spacecraft lie in their planes. The sail is flat. It is assumed that the epsilon fraction of photons is spectrally reflected by the sail, and other photons are absorbed. Time-optimal trajectories are found as a result of solving Pontryagin's boundary problem. A family of solutions is constructed by the 'shooting' method for epsilon = 1 and epsilon = 1.8. The solutions of this family depend smoothly on the initial value of the angle between Mars and the earth.
Egorov A. V.
Sapunkov Ia. B.
Sazonov Vladimir
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