12 / 12
И.А. Пономарева
12
Инженерный журнал: наука и инновации
# 7·2017
Method of computing manoeuvres parameters during
the space flight into the libration point L
2
of the Sun — Earth system
© I.A. Ponomareva
Central Research Institute of
Mechanical Engineering TsNIIMASH,
Korolev town, Moscow region, 141070, Russia
The article considers the problem of computing manoeuvres parameters at the stage of
the spacecraft flight into the neighborhood of the libration point and at the stage of
movement in the neighborhood of this point. We introduce the method of computing ma-
noeuvres parameters developed as part of the project “Spectrum-RG”. This method in-
volves maximizing the residence time in the defined area and is based on the quasi-
Newton method of the numerical optimization with simple constraints. The article looks
at the distinctive features of the method and the calculation data within the framework of
Monte-Carlo algorithm, which takes into account various types of inaccuracies and to-
lerances.
Keywords:
libration point, quasi-periodic orbit, correction maneuver, quasi-Newton
method of optimization
REFERENCES
Farquhar R.W., Dunham D.W., Guo Y., McAdams J.V.
Acta Astronautica
,
2004, no. 55, pp. 687–700.
Ilin I.S., Zaslavskiy G.S., Lavrenov S.M., Sazonov V.V., Stepanyants V.A.,
Tuchin A.G., Tuchin D.A., Yaroshevskiy V.S.
Preprint IPM imeni M.V. Keldy-
sha
—
Keldysh Institute Preprints
, 2013, no. 6, p. 32.
Aksenov S.A., Bober S.A., Nikolayeva Yu.A., Novikov P.V., Fedorenko Yu.V.
Kompyuternoye modelirovaniye dvizheniya kosmicheskogo apparata v okrest-
nosti tochki libratsii L2 sistemy Solntse — Zemlya.
[Computer modeling of the
spacecraft movement in the neighborhood of the libration point L2 of the Sun-
Earth system].
Preprint TSNIIMASH
—
Preprint of the
Central Research Insti-
tute of
Mechanical Engineering TSNIIMASH
. 2015, 51 p.
Dunham D.W., Roberts C.E.
The Journal of the Astronautical Sciences
, 2001,
vol. 49, no. 1, pp. 127–144.
Gill Ph.E., Murray W., Wright M.H.
Practical optimization.
London, Academic
Press, Ltd., 1981
[In Russ.: Philip E. Gill, Walter Murray, Margaret H. Wright.
Prakticheskaya optimizatsiya
. Moscow, Mir Publ., 1985, 509 p.].
Kondrashin M.A., Ponomareva I.A.
Kosmonavtika i raketostroyeniye — Cosmo-
nautics and Rocket Engineering
, 2016, no. 8 (93), pp. 23–30.
Ponomareva I.A.
, Engineer of the 1st category,
Central Research Institute of
Mechanical
Engineering TSNIIMASH. e-mail:
PonomarevaIA@tsniimash.ru