Shaheera A. Altalhi
King Abdul-Aziz University
Saudi Arabia
Title: Hamiltonian model of formation flying Satellites in the critical circular orbits
Biography
Biography: Shaheera A. Altalhi
Abstract
Formation flying of multiple satellites is a progressing technology with many applications. The characteristic of the mission orbit and dynamics of relative motion is very important to design the formation-flying mission. In this work, the motion of formation flying satellites is considered under the effects of second order zonal harmonics in an equatorial orbit. The solution of relative motion in the frame of Hamiltonian mechanics was obtained. The formula of second-order conditions that guarantee the drift rates of two, or more, neighboring orbits is derived. All the possible conditions of formation flying are discussed. These conditions have been modeled in the case of the reference orbit is critical with different inclined orbits for follower satellites. The results show all possibilities of choosing mean orbital elements of leader satellite and differences in momenta between leader and follower satellites’ orbits.