'American Institute of Aeronautics and Astronautics (AIAA)'
Abstract
We study the dynamics of the relative motion of
satellites in the gravitational field of the Earth, including
the effects of the bulge of the Earth (the J_2
effect). Using Routh reduction and dynamical systems
ideas, a method is found that locates orbits
such that a cluster of satellites remains close with
very little dispersing, even with no controls
