On the verification of the planetary system around PSR 1257 + 12

Statistics – Computation

Scientific paper

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Computational Astrophysics, Extrasolar Planets, Gravitational Effects, Planetary Systems, Pulsars, Stellar Orbits, Orbit Perturbation, Pulse Modulation, Random Noise, Time Measurement, Planets, Planetary Systems, Extrasolar Planets, Psr1257+12, Perturbations, Orbits, Astronomy, Parameters, Oscillations, Amplitude, Calculations, Numerical Methods, Analysis

Scientific paper

The magnitude and nature of residuals expected in the times of pulsar arrival (TOA) of the millisecond pulsar PSR 1257 + 12 as a function of the observational time span is estimated so that an observing progam may be planned to optimize the detection of a perturbation signature of a possible planetary system. The numerical and analytic procedures for evaluating the residuals are described. Calculations results are given in which a recognizable signature is shown to be a modulation of the amplitude of the TOA residual differences as a function of both epoch and observational interval. A supplementary approach involving intensive closely spaced observations over selected time intervals to find the time of a particular zero crossing of the TOA residuals is also discussed.

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