The contraction of satellite orbits under the influence of air drag. I. With spherically symmetrical atmosphere

Author:

Abstract

The effect of air drag on satellite orbits of small eccentricity e (< 0.2) is studied analytically by a perturbation method, on the assumption that the atmosphere is spherically symmetrical. Equations are derived which show (1) how perigee distance and orbital period vary with eccentricity as the orbit contracts, and (2) how each of these quantities varies with time. The equations of type (1) are nearly independent of the oblateness of the atmosphere. In all the equations, terms of order e 4 and higher are usually neglected. The results are also presented graphically, in a manner designed for practical use. The theory will be extended to an oblate atmosphere in part II, and will later be compared with observation.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference27 articles.

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2. Cook G. E . i 960 E ffect o f an o b late ro ta tin g atm osp here on th e orien ta tio n o f a sa tellite orbit. M in istry of A viation report.

3. Cook G. E . & Plim m er R . N . A . i 960 T he effect o f atm ospheric r o ta tio n on th e orb ital plane o f a near earth satellite. Proc. Roy. Soc. A (in th e Press).

4. Proc. Roy;Soc. A,1959

5. Jacchia L. G. 1959 a Nature Lond. 183 526-527.

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