Method for calculating the influence of atmospheric disturbances on the motion of a satellite along a high-eccentricity orbit

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Atmospheric Density, Eccentricity, Orbit Calculation, Satellite Drag, Satellite Perturbation, Algorithms, Bogoliubov Theory, Exponential Functions, Gravitational Fields, Hamiltonian Functions, Molniya Satellites, Orbital Resonances (Celestial Mechanics), Time Dependence

Scientific paper

Solov'ev (1974) has proposed a semianalytical method for calculating the motion of satellites along resonance orbits of large eccentricity. A typical example is the Molniya 1 satellite, which in addition to gravitational and other potential disturbances experiences disturbances produced by atmospheric drag. In the present paper, a procedure for calculating the drag-induced disturbances is proposed. Use is made of a sufficiently general analytical representation of atmospheric density. The motion of the satellite is described in terms of Delaunay canonical elements. Eccentricity is taken into consideration by analytical singularities.

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