Abstract

The attitude motion of a rigid spacecraft is studied in the Earth-Moon circular restricted three-body problem. Firstly, the equilibrium attitude and its stability as functions of the moments of inertia are discussed when the spacecraft is assumed at the libration points. Then, periodic attitudes of a spacecraft with mass distribution given in the stable regions are obtained. Regarding space mission applications, the Sun orientation is discussed, and the orbit-attitude resonances are constructed for spacecrafts working on the libration point orbits by means of a continuation procedure.

Highlights

  • The natural dynamical revolution may assist, or even replace, the attitude control action [25]. us, to design the spacecraft control system better, an understanding of the coupling orbital and attitude motion is of significance

  • Kane and Marsh [26] considered the attitude stability of an axial symmetric satellite which is located at the libration points. e satellite is spinning about its axis of symmetry that is normal to the primary bodies’ orbital plane

  • Robinson [27] studied the attitude stability of a dumbbell satellite located at the equilateral points. e same author [28] considered the attitude stability of an arbitraryshaped rigid satellite which is located at a Lagrangian point, and the author constructed a linear stability diagram about the stable attitude of the satellite

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Summary

Introduction

The dynamics about the libration points in the circular restricted three-body problem (CRTBP) has been studied extensively [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17], and so far, several libration point missions have been conducted [18,19,20,21,22,23,24] As we know, both orbital and attitude motions of a spacecraft are required to be considered in practical missions.

Dynamical Models
Libration Point L2
Libration Point L4
Application to the Earth-Moon Libration Point Orbits
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