The contraction of satellite orbits under the influence of air drag. VIII - Orbital lifetime in an oblate atmosphere, when perigee distance is perturbed by odd zonal harmonics in the geopotential

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Atmospheric Turbulence, Satellite Drag, Satellite Lifetime, Satellite Orbits, Zonal Harmonics, Geopotential, Harmonic Oscillation, Orbital Mechanics, Perigees

Scientific paper

This paper is devoted to developing the necessary orbital theory for predicting the lifetimes of satellites moving in an oblate atmosphere and subjected to the perturbations due to odd zonal harmonics in the geopotential. The effects of odd zonal harmonics and atmospheric oblateness are expressed as multiplying factors, F(oz) and F(ao), to be applied to the lifetime predictions calculated in the absence of the perturbations. The results are valid for the great majority of orbits about the earth, and in particular for all orbital eccentricities between 0 and 1; but the limits set for the controlling parameters exclude near-polar orbits with perigee heights lower than about 180 km and orbits having inclinations within a narrow band centered on 63.4 deg. The results show that, when the controlling parameters are at their upper limits, either F(oz) or F(ao) can change the lifetime by up to about 35 percent, and taken together they can produce changes of up to 60 percent, if the initial and final positions of perigee are at specified points on the orbit and the eccentricity exceeds 0.2. Such combinations of values rarely arise, however, and the effects are more often of order 10-20 percent.

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