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Aerospace Instrument-Making

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The new equation of time of flight between two points of the central field of gravitation
M.N. Burdaev

The problem of the equation derivation for time calculation of flight between two points of the central field of gravitation as function of boundary radiuses of flight, the corner between them and the corner describing the direction of the orbital speed vector in an initial point of flight is put and solved. At the intermediate stages of the task decision the basic properties of flight trajectories are investigated and on this basis two generalized forms of the equation flight initial speed hodograph, the equation of communication of the corners describing directions of orbital speed vectors in initial and final points of flight, and the equation for calculation of the difference of average anomalies in boundary points of flight as functions of three corners are deduced.

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