Abstract General expressions for the vectorial formulation of the equations of motion under geopotential perturbations are provided. These expressions are based on the apsidal frame formulation, and ease the identification of the fast and slow components of the motion, as well as the consequent averaging of the potential over the mean anomaly. The mean variation equations of the eccentricity and angular momentum vector, while redundant, comprise a non-singular differential system that is efficiently integrated numerically, and naturally complements analogous vectorial formulations of the third-body and solar radiation pressure disturbing effects. Still, classical approaches in orbital elements may show better efficiency in the integration of moderate and high eccentricity orbits due to the almost linear character of the variations.
Highlights Geopotential perturbations are reformulated in vectorial form. The vectorial formulation is free from singularities. The long-term behavior is obtained by averaging techniques. The numerical integration of the vectorial mean elements is highly accurate and stable.
Vectorial formulation for the propagation of average dynamics under gravitational effects
Acta Astronautica ; 217 ; 181-187
2024-01-10
7 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Application of a fully vectorial beam propagation method
British Library Online Contents | 1997
|Vectorial beam propagation method based on mixed elements
British Library Conference Proceedings | 1998
|A Full-Vectorial Beam Propagation Method for Anisotropic Waveguides
British Library Online Contents | 1994
|Three-Dimensional Semi-Vectorial Wide-Angle Beam Propagation Method
British Library Online Contents | 1994
|Total Lagrangian formulation of 2D bar element using vectorial kinematical description
Online Contents | 2013
|