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Spacecraft Formation Flying by Louis Breger, Jonathan How, Pini Gurfil, Srinivas Rao Vadali, Kyle Alfriend

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Chapter 7

Modeling Perturbed Relative Motion Using Orbital Elements

Publisher Summary

This chapter discusses analytical methods for propagating the perturbed relative motion variables via differential orbital elements and differential Euler parameters. These methods rely on the mean element propagation scheme and constitute nonlinear theories. The unit-sphere approach is presented to the analytical propagation of relative motion. This approach projects the motion of the satellites in a formation onto a sphere of unit radius, allowing for application of the rules of spherical trigonometry. The chapter discusses the effects of J2 perturbation on the orbital elements via the Brouwer theory. It also explains linear theories including the State Transition ...

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