### Abstract

Original language | English |
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Title of host publication | 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings |

Pages | 129-131 |

DOIs | |

Publication status | Published - 2015 |

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### Cite this

*2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings*(pp. 129-131) https://doi.org/10.1109/SCP.2015.7342068

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*2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings.*pp. 129-131. https://doi.org/10.1109/SCP.2015.7342068

**The interception problem of a celestial body with the use of the collinear libration points.** / Shmyrov, A.; Shymanchuk, D.; Sokolov, L.

Research output ›

TY - GEN

T1 - The interception problem of a celestial body with the use of the collinear libration points

AU - Shmyrov, A.

AU - Shymanchuk, D.

AU - Sokolov, L.

PY - 2015

Y1 - 2015

N2 - © 2015 IEEE.This paper studies the problem of an intercept trajectory construction when using the neighborhood of the collinear libration point L1 of the Sun-Earth system. A celestial body motion is considered in a rotating frame within the Hill's problem of the circular restricted three-body problem. It is known that collinear libration points are unstable but its instability can be used as a positive factor for maneuvering a celestial body in the near-Earth space. Development methodology of control algorithms for the orbital motion of a celestial body when using the instability of collinear libration points is offered. The construction of an intercept trajectory is based on the properties of a specially introduced phase variables function, called 'hazard function'. The results of the numerical integration are graphically illustrated.

AB - © 2015 IEEE.This paper studies the problem of an intercept trajectory construction when using the neighborhood of the collinear libration point L1 of the Sun-Earth system. A celestial body motion is considered in a rotating frame within the Hill's problem of the circular restricted three-body problem. It is known that collinear libration points are unstable but its instability can be used as a positive factor for maneuvering a celestial body in the near-Earth space. Development methodology of control algorithms for the orbital motion of a celestial body when using the instability of collinear libration points is offered. The construction of an intercept trajectory is based on the properties of a specially introduced phase variables function, called 'hazard function'. The results of the numerical integration are graphically illustrated.

U2 - 10.1109/SCP.2015.7342068

DO - 10.1109/SCP.2015.7342068

M3 - Conference contribution

SN - 9781467376983

SP - 129

EP - 131

BT - 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings

ER -