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Article

Optimization of expedition to Phobos using the impulse control and solution to Lambert problems taking into account attraction of the Earth and Mars

Moscow University Mathematics Bulletin. 2014. Vol. 69. No. 2. P. 84-87.
Samokhin A. S.

The trajectory of expedition to Mars and its satellite Phobos with return to the Earth is optimized. The attraction of the Sun, or the Earth, or Mars is considered at each part of the trajectory. The Earth and Mars positions correspond to ephemerides DE424, and the position of Phobos corresponds to ephemerides MAR097. Not more than 6 impulses are assumed on the trajectory. The spacecraft must start from the Earth in the period of 2020–2030 and stay at Phobos at least for 30 days. The total time of the expedition is limited to 1500 days. The characteristic velocity is minimized.