Determination of the dynamic flattening of Venus from measurements of the trajectories of motion of its first artificial satellites Venera 9 and Venera 10

Physics

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Celestial Geodesy, Gravitational Effects, Planetology, Venera Satellites, Venus Surface, Differential Equations, Orbit Calculation, Radial Velocity, Satellite Orbits, Trajectory Analysis

Scientific paper

Radio measurements of the Doppler frequency shift of the radio signals from Venera 9 and Venera 10 orbiting Venus were evaluated in the form of ballistic values of the radial velocity of the satellites with respect to earth-based stations. These data were used to obtain parameters of the trajectories of the satellites which were then used to evaluate the coefficient of the zonal harmonic P20 in the expansion of the gravitational potential of Venus in spherical functions. This coefficient accounts for the polar dynamic flattening of the planet. The expected value of this coefficient was found to be (-4.0 plus or minus 1.5) times 10 to the -6th power.

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