29th-order harmonics in the geopotential from the orbit of Ariel 1 at 29:2 resonance

Physics

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Ariel 1 Satellite, Geopotential, Harmonic Analysis, Orbit Calculation, Orbital Resonances (Celestial Mechanics), Satellite Observation, Atmospheric Circulation, Eccentric Orbits, Inclination, Resonance, Satellite Orbits

Scientific paper

In analyzing the orbit of Ariel 1 to determine upper-atmosphere winds, it was observed that the orbital inclination underwent a noticeable perturbation in November 1969 at the 29:2 resonance with the earth's gravitational field, when the satellite track over the earth repeats every 2 days after 29 revolutions. The variations in the inclination and eccentricity of the orbit between July 1969 and February 1970 have now been analyzed, using 35 U.S. Navy orbits, and fitted with theoretical curves to obtain lumped values of 29th-order harmonic coefficients in the geopotential.

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