J2-Propelled Orbits and Constellations
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A study was conducted to analyze a new class of orbits, called 'J2 propelled' for which the dynamics were periodic in the inertial frame or in the Earth rotating frame. It was demonstrated that the J2 gravitational perturbation on the orbital elements could be averaged over one orbital period. These averages highlighted whether or not the orbital elements experienced persistent changes. The elliptical Earth-compatible J2-propelled orbits needed to satisfy the double compatibility condition provided in on e of the equations. The proposed elliptical J2 propelled orbits were particularly suitable to be adopted in the three-dimensional (3-D) lattice theory of flower constellations, which extends the two-dimensional (2-D) lattice theory by including the J2 perturbation.
author list (cited authors)
Mortari, D., Gonzales, M., & Lee, S.