Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984adans..54.1211h&link_type=abstract
IN: Astrodynamics 1983; Proceedings of the Conference, Lake Placid, NY, August 22-25, 1983. Part 2 (A84-30526 13-13). San Diego,
Astronomy and Astrophysics
Astronomy
Aerodynamic Drag, Atmospheric Effects, Ballistic Trajectories, Orbit Calculation, Two Body Problem, Angular Momentum, Approximation, Body Kinematics, Circular Orbits, Degrees Of Freedom, Equations Of Motion, Gravitational Effects, Rotating Fluids, Vector Analysis
Scientific paper
The present approximate, semianalytic solution to the two-body problem (with drag) describes nonlifting orbital motion in a rotating atmosphere, where spherical earth gravity is modeled as a central, inverse-square field. It is shown that orbital motion occurs in an earth-fixed, invariable plane that is defined by the radius and relative velocity vectors, and that equations of motion that are simplified by ignoring aerodynamic lift, gravitational perturbations, and kinematic accelerations, are autonomous and independent of the central angle measured in the invariable plane.
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