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Method of Ignoring the Systematic Variations of Stellar Parallaxes over the Celestial Sphere in a Kinematic Analysis of Stellar Proper Motions. / Vityazev, V.V.; Tsvetkov, A.S.

In: Astronomy Letters, Vol. 40, No. 6, 2014, p. 320-333.

Research output: Contribution to journal › Article › peer-review

Harvard

Vityazev, VV & Tsvetkov, AS 2014, 'Method of Ignoring the Systematic Variations of Stellar Parallaxes over the Celestial Sphere in a Kinematic Analysis of Stellar Proper Motions', Astronomy Letters, vol. 40, no. 6, pp. 320-333. https://doi.org/10.1134/S1063773714060048

APA

Vityazev, V. V., & Tsvetkov, A. S. (2014). Method of Ignoring the Systematic Variations of Stellar Parallaxes over the Celestial Sphere in a Kinematic Analysis of Stellar Proper Motions. Astronomy Letters, 40(6), 320-333. https://doi.org/10.1134/S1063773714060048

Vancouver

Vityazev VV, Tsvetkov AS. Method of Ignoring the Systematic Variations of Stellar Parallaxes over the Celestial Sphere in a Kinematic Analysis of Stellar Proper Motions. Astronomy Letters. 2014;40(6):320-333. https://doi.org/10.1134/S1063773714060048

Author

Vityazev, V.V. ; Tsvetkov, A.S. / Method of Ignoring the Systematic Variations of Stellar Parallaxes over the Celestial Sphere in a Kinematic Analysis of Stellar Proper Motions. In: Astronomy Letters. 2014 ; Vol. 40, No. 6. pp. 320-333.

BibTeX

@article{25603e58413f485aa2cf77e2bdc73a44,
title = "Method of Ignoring the Systematic Variations of Stellar Parallaxes over the Celestial Sphere in a Kinematic Analysis of Stellar Proper Motions",
abstract = "A method for determining the velocity field parameters free from the distortions due to the systematic variations of stellar parallaxes over the celestial sphere is proposed. The method is based on the approximation of parallaxes as a function of coordinates on the sphere using spherical harmonics and can be applied in those cases where the solar motion cannot be eliminated from the stellar proper motions. Numerical experiments have shown that our method is able to obtain accurate coordinates of the solar apex and to calculate the kinematic parameters of the Ogorodnikov–Milne model to within three coefficients of the decomposition of parallaxes into first-order spherical harmonics. Examples of applying the method to the stellar proper motions of the Hipparcos catalogue, which admits checking the results using trigonometric parallaxes, are provided. Such a check has been found to yield a positive result only for nearby stars at heliocentric distances that do not exceed 400 pc and for which the parallaxes were",
keywords = "astrometry, stellar proper motions, parallaxes, spherical harmonics, stellar kinematics, Hipparcos.",
author = "V.V. Vityazev and A.S. Tsvetkov",
year = "2014",
doi = "10.1134/S1063773714060048",
language = "English",
volume = "40",
pages = "320--333",
journal = "Astronomy Letters",
issn = "1063-7737",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "6",

}

RIS

TY - JOUR

T1 - Method of Ignoring the Systematic Variations of Stellar Parallaxes over the Celestial Sphere in a Kinematic Analysis of Stellar Proper Motions

AU - Vityazev, V.V.

AU - Tsvetkov, A.S.

PY - 2014

Y1 - 2014

N2 - A method for determining the velocity field parameters free from the distortions due to the systematic variations of stellar parallaxes over the celestial sphere is proposed. The method is based on the approximation of parallaxes as a function of coordinates on the sphere using spherical harmonics and can be applied in those cases where the solar motion cannot be eliminated from the stellar proper motions. Numerical experiments have shown that our method is able to obtain accurate coordinates of the solar apex and to calculate the kinematic parameters of the Ogorodnikov–Milne model to within three coefficients of the decomposition of parallaxes into first-order spherical harmonics. Examples of applying the method to the stellar proper motions of the Hipparcos catalogue, which admits checking the results using trigonometric parallaxes, are provided. Such a check has been found to yield a positive result only for nearby stars at heliocentric distances that do not exceed 400 pc and for which the parallaxes were

AB - A method for determining the velocity field parameters free from the distortions due to the systematic variations of stellar parallaxes over the celestial sphere is proposed. The method is based on the approximation of parallaxes as a function of coordinates on the sphere using spherical harmonics and can be applied in those cases where the solar motion cannot be eliminated from the stellar proper motions. Numerical experiments have shown that our method is able to obtain accurate coordinates of the solar apex and to calculate the kinematic parameters of the Ogorodnikov–Milne model to within three coefficients of the decomposition of parallaxes into first-order spherical harmonics. Examples of applying the method to the stellar proper motions of the Hipparcos catalogue, which admits checking the results using trigonometric parallaxes, are provided. Such a check has been found to yield a positive result only for nearby stars at heliocentric distances that do not exceed 400 pc and for which the parallaxes were

KW - astrometry

KW - stellar proper motions

KW - parallaxes

KW - spherical harmonics

KW - stellar kinematics

KW - Hipparcos.

U2 - 10.1134/S1063773714060048

DO - 10.1134/S1063773714060048

M3 - Article

VL - 40

SP - 320

EP - 333

JO - Astronomy Letters

JF - Astronomy Letters

SN - 1063-7737

IS - 6

ER -

ID: 7003125