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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 ,
Frank Verbunt  and
Eric Cator
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.

Keywords

methods: statisticalstars: distances
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 13 , Symposium S337: Pulsar Astrophysics the Next Fifty Years , September 2017 , pp. 344 - 345
Copyright
Copyright © International Astronomical Union 2018 

References

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