Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cemda..97..101s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 97, Issue 2, pp.101-129
Astronomy and Astrophysics
Astronomy
12
Formation Flight, Nonlinear Relative Motion, State Transition, Nonsingular Elements
Scientific paper
This paper develops a tensor and its inverse, for the analytical propagation of the position and velocity of a satellite, with respect to another, in an eccentric orbit. The tensor is useful for relative motion analysis where the separation distance between the two satellites is large. The use of nonsingular elements in the formulation ensures uniform validity even when the reference orbit is circular. Furthermore, when coupled with state transition matrices from existing works that account for perturbations due to Earth oblateness effects, its use can very accurately propagate relative states when oblateness effects and second-order nonlinearities from the differential gravitational field are of the same order of magnitude. The effectiveness of the tensor is illustrated with various examples.
Alfriend Kyle T.
Sengupta Prasenjit
Vadali Srinivas R.
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