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Hypercomplex Eccentric Anomaly in the Unified Solution to the Relative Orbital Motion

Domenii publicaţii > Stiinte ingineresti + Tipuri publicaţii > Articol în volumul unei conferinţe

Autori: Daniel Condurache

Editorial: American Astronautical Society, AAS/AIAA Astrodynamics Specialist Conference, Pittsburgh, Pennsylvania, 9-13 Aug. ,2009, Advances in the Astronautical Sciences, Vol.135, p. 281-300, 2010.


The present work presents an approach to the relative orbital motion by using
hypercomplex numbers. An extension to this notion is used for vectors, by introducing
the hypercomplex vector in the same way as hypercomplex numbers are defined. The
solution to the relative orbital motion is offered in all possible situations (it stands for
any Keplerian reference or targeted trajectories). A unified view on the relative orbital
motion is suggested, by generalizing the previous approaches. The solution is offered to
the nonlinear model of the relative motion and it is expressed in a coordinate-free
hypercomplex vectorial closed form. The key element of this approach is the
hypercomplex eccentric anomaly, introduced via a Sundman-like vectorial regularization.

Cuvinte cheie: Astrodynamics