The optimal stabilization of orbital motion in a neighborhood of collinear libration point

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The optimal stabilization of orbital motion in a neighborhood of collinear libration point. / Shmyrov, Alexander ; Shmyrov, Vasily.

в: Numerical Algebra, Control and Optimization, Том 7, № 2, 06.2017, стр. 185-189.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{bd5d889366b9466a8cb377d531373e70,

title = "The optimal stabilization of orbital motion in a neighborhood of collinear libration point",

abstract = "In this paper we consider the special problem of stabilization of controllable orbital motion in a neighborhood of collinear libration point L2 of Sun-Earth system. The modification of circular three-body problem - non-linear Hill{\textquoteright}s equations, which describe orbital motion in a neighborhood of libration point is used as a mathematical model. Also, we used the linearized equations of motion. We investigate the problem of spacecraft arrival on the unstable invariant manifold. When a spacecraft reaches this manifold, it does not leave the neighborhood of L2 by long time. The distance to the unstable invariant manifold is described by a special function of phase variables, so-called “hazard function”. The control action directed along Sun-Earth line. 200 words.",

keywords = "Bellman function, Circular three-body problem, Control, Hill{\textquoteright}s equations, Libration point, Stabilization",

author = "Alexander Shmyrov and Vasily Shmyrov",

year = "2017",

month = jun,

doi = "10.3934/naco.2017012",

language = "English",

volume = "7",

pages = "185--189",

journal = "Numerical Algebra, Control and Optimization",

issn = "2155-3289",

publisher = "American Institute of Mathematical Sciences",

number = "2",

}

RIS

TY - JOUR

T1 - The optimal stabilization of orbital motion in a neighborhood of collinear libration point

AU - Shmyrov, Alexander

AU - Shmyrov, Vasily

PY - 2017/6

Y1 - 2017/6

N2 - In this paper we consider the special problem of stabilization of controllable orbital motion in a neighborhood of collinear libration point L2 of Sun-Earth system. The modification of circular three-body problem - non-linear Hill’s equations, which describe orbital motion in a neighborhood of libration point is used as a mathematical model. Also, we used the linearized equations of motion. We investigate the problem of spacecraft arrival on the unstable invariant manifold. When a spacecraft reaches this manifold, it does not leave the neighborhood of L2 by long time. The distance to the unstable invariant manifold is described by a special function of phase variables, so-called “hazard function”. The control action directed along Sun-Earth line. 200 words.

AB - In this paper we consider the special problem of stabilization of controllable orbital motion in a neighborhood of collinear libration point L2 of Sun-Earth system. The modification of circular three-body problem - non-linear Hill’s equations, which describe orbital motion in a neighborhood of libration point is used as a mathematical model. Also, we used the linearized equations of motion. We investigate the problem of spacecraft arrival on the unstable invariant manifold. When a spacecraft reaches this manifold, it does not leave the neighborhood of L2 by long time. The distance to the unstable invariant manifold is described by a special function of phase variables, so-called “hazard function”. The control action directed along Sun-Earth line. 200 words.

KW - Bellman function

KW - Circular three-body problem

KW - Control

KW - Hill’s equations

KW - Libration point

KW - Stabilization

UR - http://www.scopus.com/inward/record.url?scp=85020790808&partnerID=8YFLogxK

U2 - 10.3934/naco.2017012

DO - 10.3934/naco.2017012

M3 - Article

AN - SCOPUS:85020790808

VL - 7

SP - 185

EP - 189

JO - Numerical Algebra, Control and Optimization

JF - Numerical Algebra, Control and Optimization

SN - 2155-3289

IS - 2

ER -

ID: 98681385