THE BEHAVIOR OF A SATELLITE TRAJECTORY NEAR THE EQUILIBRIUM POINTS OF SUN-EARTH SYSTEM AND ITS CONTROL

Ali, Noha A.; Shalby, Lina;

Abstract


In this paper, the behavior of a satellite trajectory near the equilibrium points of the Sun-Earth system is studied. The equations describing the motion of the satellite in the circular restricted three body problem for the Sun-Earth system, are discussed for their ordinary differential equations form, and Lagrange points are determined. Then, the stability is studied at each Lagrange point. The trajectories of a satellite starting its motion near Lagrange points are illustrated, showing the stability and instability behavior. Finally, the unstable trajectory is controlled by using l2-method at L1 as an example.


Other data

Title THE BEHAVIOR OF A SATELLITE TRAJECTORY NEAR THE EQUILIBRIUM POINTS OF SUN-EARTH SYSTEM AND ITS CONTROL
Authors Ali, Noha A.; Shalby, Lina 
Keywords chaos | circular restricted three body problem | Lagrange points | stability
Issue Date 1-Jan-2023
Journal Theoretical and Applied Mechanics 
ISSN 14505584
DOI 10.2298/TAM220816003S
Scopus ID 2-s2.0-85165455535

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