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Millisecond and Binary Pulsars as Nature's Frequency Standards. III. Fourier Analysis and Spectral Sensitivity of Timing Observations to Low-Frequency Noise

1998/12/30 by Sergei M. Kopeikin, Kopeikin, Sergei M., Vladimir A. Potapov +2
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Astrophysics (astro-ph) #Condensed Matter (cond-mat) #Data Analysis #FOS: Physical sciences #Geophysics and Gravity Measurements #Geophysics and Sensor Technology #Pulsars and Gravitational Waves Research #Statistics and Probability (physics.data-an) #astro-ph #cond-mat #physics.data-an

paper · pdf · doi:10.48550/arxiv.physics/9812050

26 pages, 9 postscript figures, to be submitted to MNRAS

arxiv created 1998/12/30 · openalex publication_date 1998/12/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Millisecond and binary pulsars are the most stable natural frequency standards which admits to introduce modified versions of universal and ephemeris time scales based correspondingly on the intrinsic rotation of pulsar and on its orbital motion around barycenter of a binary system. Measured stability of these time scales depends on numerous physical phenomena which affect rotational and orbital motion of the pulsar and observer on the Earth, perturb propagation of electromagnetic pulses from pulsar to the observer and bring about random fluctuations in the rate of atomic clock used as a primary time reference in timing observations. On the long time intervals the main reason for the instability of the pulsar time scales is the presence of correlated, low-frequency timing noise in residuals of times of arrivals (TOA) of pulses from the pulsar which has both astrophysical and geophysical origin. Hence, the timing noise can carry out the important physical information about interstellar medium, interior structure of the pulsar, stochastic gravitational waves coming from the early universe, etc. Each specific type of the low-frequency noise can be described in framework of power law spectrum model. Although the data processing of pulsar timing observations in time domain seems to be the most imformative it is significantly important to know to which spectral bands single and binary pulsars, considered as detectors of the low-frequency noise signal, are the most sensitive. The given problem is examined in the present article.

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