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Kepler’s Problem in Rotating Reference Frames. Part I : Prime Integrals, Vectorial Regularization

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.192-200, 2007.


This paper studies the Keplerian motion in rotating reference frames based on tensorial orthogonal and skewsymmetric
maps. By using a time-regularization vectorial method, an exact solution to Keplerian noninertial motion
is offered. A qualitative and quantitative comprehensive study is made. The paper generalizes the approaches to the
inertial Keplerian motion presented by Levi-Civita and Kustaanheimo–Stiefel. A Sundman-like vectorial
regularization is introduced to eliminate the singularity occurring in the attraction center. It transforms the strong
nonlinear initial value problem with variable coefficients that describes the Keplerian motion in a noninertial
reference frame into a linear one, with constant coefficients. A direct application to this approach is satellite relative

Cuvinte cheie: astrodynamics