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С.А. Заборский, Е.В. Кирилюк
12
Инженерный журнал: наука и инновации
# 5·2017
Optimal bielliptic transition between coplanar
elliptical orbits
© S.A. Zaborskiy
1
, E.V. Kiriluk
2
1
S.P. Korolev Rocket аnd Space Public Corporation Energia,
Korolev town, Moscow region, 141070, Russia
2
Bauman Moscow State Technical University, 105055, Russia
An analytic solution of the problem of the bielliptic three-pulse transition between circu-
lar orbits and an analytic solution for the problem of the bielliptic transition between
coaxial elliptic orbits are presented. These solutions were published in a number of
sources. In this article, an attempt is made to generalize the existing results for the case
of the transition between two specified points belonging to boundary disparate elliptic
orbits when the radial values of the transition orbit apogee are specified. An analysis of
the obtained relationship for the size of the total pulse increment of the velocity necessary
for the performing the bielliptic maneuver is given. The limiting case in which the biellip-
tic transition degenerates into a biparabolic transition is considered. The dependences of
the transition orbit parameters and the conditions under which the three-pulse transition
can have advantages over the two-pulse one are established.
Keywords:
optimal maneuver, coplanar transition, interorbital transition, biparabolic ma-
neuver, bi-elliptic maneuver, analytical solution, impulse maneuver
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Zaborskiy S.A.,
Cand. Sc. (Eng.), Head of the Launch Vehicle Sector, Department of
Space Ballistics, S.P. Korolev Rocket аnd Space Public Corporation Energia, Assistant