The Drag Exerted by an Oblate Rotating Atmosphere on an Artificial Satellite

KH. I. Khalil

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KH. I. Khalil. The Drag Exerted by an Oblate Rotating Atmosphere on an Artificial Satellite[J]. Applied Mathematics and Mechanics, 2002, 23(9): 903-914.

Citation:

KH. I. Khalil. The Drag Exerted by an Oblate Rotating Atmosphere on an Artificial Satellite[J]. Applied Mathematics and Mechanics, 2002, 23(9): 903-914.

Citation:

KH. I. Khalil. The Drag Exerted by an Oblate Rotating Atmosphere on an Artificial Satellite[J]. Applied Mathematics and Mechanics, 2002, 23(9): 903-914.

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The Drag Exerted by an Oblate Rotating Atmosphere on an Artificial Satellite

KH. I. Khalil

National Research Institute of Astronomy and Geophysics-Helwan, Cairo, Egypt

Received Date: 2001-07-24
Publish Date: 2002-09-15

Abstract

Abstract

A theory is formulated for the motion of an artificial satellite under the joint effects of Eearth oblateness and atmospheric drag. The Hamilton's equations of motion are derived including the zonal harmonics of the geopotential up to J₄ and the drag accelerations. The atmospheric model is an oblate rotating model in which the atmospheric rotation lags behind that of the earth as the increasing distance from the Earth. The drag free problem is first solved via two canonical transformations to eliminate in succession the short and long period terms. An operator D is then defined and used to formulate the drag acceleration in terms of the double primed variables expressing the solution of the drag-free problem.
- oblateness,
- the Hamiltonian,
- Lie transform

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References(10)

References

[1]	Kampos B.Nasa CR-1008-Guidnace,Flight Mech,and Trajectory Optimization[M].Vol.IX,Washington,1968.
[2]	Sehnal L.Satellite Dynamics[M].Giocagolia Ed.New York:Univ of Texas Press,1975.
[3]	King-Hele D G.Satellite Orbits in an Atmosphere:Theory and Applications[M].Glasgow:Blackic and Sons,1987.
[4]	Milani,N,Nobili A,Frainella P.Non Gravitational Perturbations[M].Bristol:Adam Hilger (IOP),1987.
[5]	Brouwer D,Hori G.Theoretical evaluation of atmospheric drag effects in the motion of an artificial satellite[J].The Astronomical Journal,1961,66(5):193-225.
[6]	Hoots F R.Theory of the motion of an artificial earth satellite[J].Celestial Mechanics,1981,23(4):307-336.
[7]	Dehlase F.Analytical treatment of air drag and earth oblateness effect upon an artificial satellite [J].Celestial Mechanics,1991,52(1):85-103.
[8]	Deprit A.Canonical transformations depending on a small parameter[J].Celestial Mechanics,1969,1(1):12-30.
[9]	Kamel A A.Expansion formulae in canonical transformation depending on a small parameter[J].Celestial Mechanics,1969,1(2):190-199.
[10]	Bell W W.Special Functions for Scientists and Engineers[M].London:Van Nostrand,1968.