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Toward Autonomous Navigation of Spacecraft on the Observed Periodic Radiation of Pulsars
Authors: A.E.Avramenko, B.Ya.Losovsky
Number of views: 371
The analytical coupling of the Doppler shift of the periodic pulsar radiation with the
motion parameters of the observer in any chosen coordinate frame is shown. The motion parameters
and the deviation of the spacecraft from the calculated position are associated with the Doppler shift
of radiation of the pulsar. According to the coherent radiation of the pulsar in space and time, due to
stable rotation parameters, the uniform physical time scales, invariant in any coordinate frame,
including on-board, is formed. In the orthogonal coordinate system with axes beginning at the center
of mass of the spacecraft and non-rotating axes relative to the barycenter of the Solar system, the
projections of the radius vector and spacecraft deflection velocity in the direction of the pulsar are
obtained. According to the observed rotation parameters of the pulsar, which are not correlated with
its movement, inertial coordinate reference systems are synchronized by the criterion of invariance of
analytical pulsar time scales in each of them. As an illustration, the decade data on the timing of the
pulsar B0531+21 determined its own position and movement with an estimated accuracy within
about 10 m and 10-1–10-2 m/s, respectively, with the subnanosecond resolution of the measured
intervals and corresponded distances.