We introduce relative orbital mechanics concepts in the context of orbital rendezvous and present a derivation of the general dynamic equations of relative motion. A linearization of the equations of motion in the LVLH frame that is valid for circular and elliptical orbits is presented, as well as the derivation of a homogeneous solution, known as the Yamanaka–Ankersen equations. A particular solution is also presented, assuming a zero-order hold discretization, that may be used for rendezvous manoeuvre planning. Simulations of free-drift relative motions between two satellites are included, in the cases of both circular and elliptical target orbits, and the resulting non-intuitive trajectories are explained. We also present simulations with different impulsive manoeuvres, that are typically utilized for performing rendezvous manoeuvres.
Relative Orbital Mechanics
SpringerBriefs in Applied Sciences
2021-06-25
25 pages
Article/Chapter (Book)
Electronic Resource
English
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