Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
The research of the coupled orbital-attitude controlled motion of celestial body in the neighborhood of the collinear libration point L 1. / Shmyrov, A.; Shmyrov, V.; Shymanchuk, D.
Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017. ed. / MD Todorov. Vol. 1895 American Institute of Physics, 2017. 110007 (AIP Conference Proceedings; Vol. 1895).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
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TY - GEN
T1 - The research of the coupled orbital-attitude controlled motion of celestial body in the neighborhood of the collinear libration point L 1
AU - Shmyrov, A.
AU - Shmyrov, V.
AU - Shymanchuk, D.
PY - 2017/10/12
Y1 - 2017/10/12
N2 - This article considers the motion of a celestial body within the restricted three-body problem of the Sun-Earth system. The equations of controlled coupled attitude-orbit motion in the neighborhood of collinear libration point L1 are investigated. The translational orbital motion of a celestial body is described using Hill's equations of circular restricted three-body problem of the Sun-Earth system. Rotational orbital motion is described using Euler's dynamic equations and quaternion kinematic equation. We investigate the problem of stability of celestial body rotational orbital motion in relative equilibrium positions and stabilization of celestial body rotational orbital motion with proposed control laws in the neighborhood of collinear libration point L1. To study stabilization problem, Lyapunov function is constructed in the form of the sum of the kinetic energy and special "kinematic function" of the Rodriguez-Hamiltonian parameters. Numerical modeling of the controlled rotational motion of a celestial body at libration point L1 is carried out. The numerical characteristics of the control parameters and rotational motion are given.
AB - This article considers the motion of a celestial body within the restricted three-body problem of the Sun-Earth system. The equations of controlled coupled attitude-orbit motion in the neighborhood of collinear libration point L1 are investigated. The translational orbital motion of a celestial body is described using Hill's equations of circular restricted three-body problem of the Sun-Earth system. Rotational orbital motion is described using Euler's dynamic equations and quaternion kinematic equation. We investigate the problem of stability of celestial body rotational orbital motion in relative equilibrium positions and stabilization of celestial body rotational orbital motion with proposed control laws in the neighborhood of collinear libration point L1. To study stabilization problem, Lyapunov function is constructed in the form of the sum of the kinetic energy and special "kinematic function" of the Rodriguez-Hamiltonian parameters. Numerical modeling of the controlled rotational motion of a celestial body at libration point L1 is carried out. The numerical characteristics of the control parameters and rotational motion are given.
UR - http://www.scopus.com/inward/record.url?scp=85031681504&partnerID=8YFLogxK
U2 - 10.1063/1.5007413
DO - 10.1063/1.5007413
M3 - Conference contribution
AN - SCOPUS:85031681504
VL - 1895
T3 - AIP Conference Proceedings
BT - Application of Mathematics in Technical and Natural Sciences
A2 - Todorov, MD
PB - American Institute of Physics
T2 - 9th International Conference on Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS)
Y2 - 21 June 2017 through 26 June 2017
ER -
ID: 9180816