An application of dimensional theory to space flight dynamics

Physics

Scientific paper

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Gravitational Effects, Orbit Calculation, Planetary Orbits, Satellite Orbits, Dynamic Characteristics, Flight Characteristics, Natural Satellites, Partial Differential Equations, Vector Analysis

Scientific paper

On the basis of some dimensional theoretical considerations, relations are derived which permit determination of the first partial derivatives of a satellite radius vector with respect to the gravitational parameter and equatorial radius of the planet when the satellite motion is determined by an equation for the gravitational potential as a function of the gravitational parameter and equatorial radius of the planet, the radius vector of the satellite, some dimensionless constants, Legendre polynomials, and the planetocentric latitude of the satellite.

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