Computer Science
Scientific paper
Mar 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11..145w&link_type=abstract
Celestial Mechanics, vol. 11, Mar. 1975, p. 145-177.
Computer Science
2
Aerodynamic Drag, Algorithms, Computer Programs, Orbital Elements, Satellite Drag, Vinti Theory, Atmospheric Density, Boundary Value Problems, Density Distribution, Eccentricity, Ephemerides, Hamiltonian Functions, Orbital Mechanics, Run Time (Computers), Variational Principles
Scientific paper
A quadrature algorithm is presented which employs analytical expressions for the variations of satellite orbital elements caused by air drag. The Hamiltonian is formally preserved and the Jacobi constants of the motion are advanced with time through the variational equations. The atmospheric density profile is written as a fitted exponential function of the eccentric anomaly, which adheres to tabulated data at all altitudes and simultaneously reduces the variational equations to definite integrals with closed form evaluations, whose limits are in terms of the eccentric anomaly. Results are given for two intense air drag satellites and indicate that the satellite ephemerides produced by this method in conjunction with the Vinti program are of very high accuracy.
Bonavito N. L.
Mistretta G. D.
Watson Jonathan S.
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