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How to estimate distance and velocity from parallax and proper motion

Published online by Cambridge University Press:  04 June 2018

Andrei P. Igoshev
Affiliation:
IMAPP Radboud University Nijmegen, P.O. Box 9010 6500 GL NijmegenThe Netherlands email: ignotur@gmail.com
Frank Verbunt
Affiliation:
IMAPP Radboud University Nijmegen, P.O. Box 9010 6500 GL NijmegenThe Netherlands email: ignotur@gmail.com
Eric Cator
Affiliation:
IMAPP Radboud University Nijmegen, P.O. Box 9010 6500 GL NijmegenThe Netherlands email: ignotur@gmail.com
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Abstract

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If the observed parallax ϖ′ has a gaussian measurement error σ, there is a 68% probability that the actual parallax ϖ is in the range ϖ′ − σ < ϖ < ϖ′ + σ (the frequentist approach). The probability distribution within this range is not known from ϖ′ and σ alone, and in particular, we cannot state that the most probable distance D is given by D = 1/ϖ′. To obtain a probability distribution, we need to know or assume a distribution of pulsar distances. Similar assumptions are also required to estimate the velocity distribution of radio pulsars.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2018 

References

Bailer-Jones, C. A. L., 2015, PASP, 127, 994CrossRefGoogle Scholar
Faucher-Giguère, C.-A., & Kaspi, V. M., 2006, ApJ, 643, 332CrossRefGoogle Scholar
Hobbs, G., Lorimer, D. R., Lyne, A. G., & Kramer, M., 2005, MNRAS, 360, 3CrossRefGoogle Scholar
Igoshev, A. & Verbunt, F., Cator, E., 2016, A&A, 591, A123Google Scholar
Verbiest, J. P. W., Weisberg, J. M., Chael, A. A., Lee, K. J., & Lorimer, D. R., 2012, ApJ, 755, 39CrossRefGoogle Scholar
Verbunt, F., Igoshev, A., Cator, E. 2017, A&A in press ArXiv: 1708.08281Google Scholar