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И.С. Григорьев, М.П. Заплетин, А.С. Самохин, М.А. Самохина
22
Инженерный журнал: наука и инновации
# 7·2017
Optimization of Phobos mission with hybrid propulsion
returning to the Earth
© I.S. Grigoryev
1
, M.P. Zapletin
1,2
, A.S. Samokhin
1,2,3
,
M.A. Samokhina
2,3
1
Lomonosov Moscow State University, Moscow, 119991, Russia
2
Peoples’ Friendship University of Russia, Moscow, 117198, Russia
3
Higher School of Economics, Moscow, 101000, Russia
The article considers the problem of optimizing the spacecraft recovery space flight to
Phobos. On the one hand, this task is confined to a real mission to Phobos, which the
Russian Federation plans to accomplish in the coming years. On the other hand, the de-
velopment of techniques for optimizing the spacecraft interplanetary trajectories is the
question of present interest. Usually, in such tasks, the circumplanetary legs of trajectory
are neglected and there is no end-to-end optimization of the entire mission. The paper
shows a technique for constructing Pontryagin extremals in similar problems, taking
these features into account, using the example of an expedition to Phobos. The positions
of the Earth, Mars and Phobos correspond to the ephemerides DE424 and MAR097.
Gravitational fields of the Sun and Mars are considered to be central Newtonian. Space-
craft is equipped with high- and low-thrust engines. The problem of cosmodynamics is
formalized as an optimal control task and then it is solved numerically by shooting meth-
od. The paper shows the particular constructed trajectories, estimates the possible gain
due to using hybrid propulsion instead of only high-thrust engines.
Keywords:
low-thrust, hybrid propulsion, end-to-end optimization, interplanetary flight
optimization, spacecraft trajectory optimization, Phobos, flight to Phobos, Phobos mis-
sion, Mars mission, cosmodynamics problem
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