Computer Science – Numerical Analysis
Scientific paper
Feb 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992em%26p...56..141s&link_type=abstract
Earth, Moon, and Planets (ISSN 0167-9295), vol. 56, no. 2, Feb. 1992, p. 141-164.
Computer Science
Numerical Analysis
4
Astrodynamics, Euler Equations Of Motion, Orbit Calculation, Satellite Orbits, Satellite Perturbation, Algorithms, Earth Orbits, Independent Variables, Numerical Analysis, Tables (Data), Time Dependence, Zonal Harmonics
Scientific paper
The classical and generalized Sundman time transformations are used to establish a new generating set of differential equations of motion in terms of the Eulerian redundant parameters. The implementation of this set on digital computers for the commonly used independent variables is developed once and for all. Motion prediction algorithms based on these equations are developed in a recursive manner for the motions in the earth's gravitational field with axial symmetry whatever the number of the zonal harmonic terms may be. Applications for the two types of short and long term predictions are considered for the perturbed motion in the earth's gravitational field with axial symmetry with zonal harmonic terms up to J36. Numerical results proved the very high efficiency and flexibility of the developed equations.
Awad Mervat E.-S.
Najmuldeen Samiha A.-S. A.
Sharaf Mohammed A.
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