Cairo University

MTPR Journal

 

HAMILTONIAN MODEL OF FORMATION FLYING SATELLITESINTHE NEAR-POLAR CIRCULAR ORBITS Shaheera A. Altalhi*1 and M.I. El-Saftawy*&**

2016-12-17
*King Abdul-Aziz University, 21442 Jeddah, Saudi Arabia. **National Research Institute of Astronomy and Geophysics, 80203 Cairo, Egypt
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 polar 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.

Vol./Issue: 16 , id: 242