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Kepler’s Problem in Rotating Reference Frames. Part II: Relative Orbital Motion

Domenii publicaţii > Stiinte ingineresti + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Daniel Condurache, Vladimir Martinusi

Editorial: AIAA Journal of Guidance, Control and Dynamics., Vol. 30, no.1, p.201-213, 2007.


A direct application of Kepler’s problem in rotating reference frames is the orbital relative motion study. The
nonlinear differential equation modeling the motion is solved by means of tensorial and vectorial regularization
methods. The general framework for obtaining exact solutions to the relative orbital motion is given when the
reference trajectory is elliptic, parabolic, and hyperbolic. All the results are presented in a vectorial closed form,
frame independent and without singularities. The case of circular reference trajectory is particularized with
complete vectorial and parametric solutions. It is proved that the solution to Hill–Clohessy–Wiltshire equations is the
first linear approximation of the exact solution presented in this paper.

Cuvinte cheie: astrodynamics