An improved theory for determining changes in satellite orbits caused by meridional winds

Physics

Scientific paper

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Meridional Flow, Orbit Perturbation, Orbital Mechanics, Satellite Orbits, Wind Effects, Wind Velocity, Aerodynamic Drag, Angular Velocity, Eccentric Orbits, Oblate Spheroids, Upper Atmosphere

Scientific paper

Meridional (south-to-north) winds in the upper atmosphere may be specified by the equivalent angular rotation rate, Phi, and previous theories for the effect of meridional winds on satellite orbits have used Phi as the controlling parameter. In this report the theory is developed anew in terms of the parameter M = Phi sec phi, where phi is the latitude. It is shown that in practice M is just as useful as Phi; and M has the advantage of leading to a much simpler and more accurate theory for expressing the changes in orbital inclination and right ascension of an orbit of any eccentricity (e greater than 0 and less than 1) produced by meridional winds in an oblate atmosphere. The theory is developed in two parts: for high eccentricity (e greater than 0.05) and for low eccentricity (e less than 0.05).

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