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What should be the observation-calculation residuals in modern astrometric experiments?

  • Mathematical Processing of Astronomical Information
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Kinematics and Physics of Celestial Bodies Aims and scope Submit manuscript

Abstract

I provide evidence for the importance of the Jeffreys law of error in the analysis of O-C residuals. This law is used to show that, under uniform metrological conditions, an experiment is considered to be performed correctly only if the O-C values have a t-distribution with five to nine degrees of freedom (ν) or Jeffreys’s form of the Pearson type VII distribution with the exponent m of three to five. Under nonuniform conditions, the left boundary for ν can move to the left but cannot be less than three, and the left boundary for m can also move to the left but cannot be less than two.

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Authors and Affiliations

  1. International University of Economics and Humanities, ul. Stepana Dem’yanchuka 4, korp. 2, Rovno, 33018, Ukraine

    I. V. Dzhun’

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  1. I. V. Dzhun’
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Original Russian Text © I.V. Dzhun’, 2012, published in Kinematika i Fizika Nebesnykh Tel, 2012, Vol. 28, No. 1, pp. 72–80.

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Dzhun’, I.V. What should be the observation-calculation residuals in modern astrometric experiments?. Kinemat. Phys. Celest. Bodies 28, 43–47 (2012). https://doi.org/10.3103/S0884591312010096

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