Standard

Distortion of the Stellar Velocity Field Parameters due to Systematic Variations of Parallaxes over the Celestial Sphere. / Vityazev, V.V.; Tsvetkov, A.S.

в: Astronomy Letters, Том 40, № 1, 2014, стр. 46-58.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Vityazev, VV & Tsvetkov, AS 2014, 'Distortion of the Stellar Velocity Field Parameters due to Systematic Variations of Parallaxes over the Celestial Sphere', Astronomy Letters, Том. 40, № 1, стр. 46-58. https://doi.org/10.1134/S1063773714010083

APA

Vityazev, V. V., & Tsvetkov, A. S. (2014). Distortion of the Stellar Velocity Field Parameters due to Systematic Variations of Parallaxes over the Celestial Sphere. Astronomy Letters, 40(1), 46-58. https://doi.org/10.1134/S1063773714010083

Vancouver

Vityazev VV, Tsvetkov AS. Distortion of the Stellar Velocity Field Parameters due to Systematic Variations of Parallaxes over the Celestial Sphere. Astronomy Letters. 2014;40(1):46-58. https://doi.org/10.1134/S1063773714010083

Author

Vityazev, V.V. ; Tsvetkov, A.S. / Distortion of the Stellar Velocity Field Parameters due to Systematic Variations of Parallaxes over the Celestial Sphere. в: Astronomy Letters. 2014 ; Том 40, № 1. стр. 46-58.

BibTeX

@article{780366e810234095bbebdf4e2e566792,
title = "Distortion of the Stellar Velocity Field Parameters due to Systematic Variations of Parallaxes over the Celestial Sphere",
abstract = "Abstract—We study the effect of systematic variations in stellar parallaxes over the celestial sphere on the results of a kinematic analysis of stellar proper motions. Our approach is based on the representation of stellar parallaxes by scalar spherical harmonics and on the decomposition of stellar proper motions into a system of vector spherical harmonics. We derive theoretical relations that relate the coefficients of the decomposition of stellar proper motions into toroidal and spheroidal harmonics to the coefficients of the decomposition of stellar parallaxes into scalar spherical harmonics. We have established that the systematic variations of parallaxes over the celestial sphere distort all parameters of the linear Ogorodnikov–Milne model and can be responsible for the appearance of beyond-the-model harmonics. We have performed a kinematic analysis of the proper motions of blue-white and red giants based on Hipparcos data. The parallaxes of blue-white giants show a strong dependence on Galactic latitude",
keywords = "astrometry, stellar kinematics, Galactic structure, Hipparcos, stellar proper motions, spherical harmonics.",
author = "V.V. Vityazev and A.S. Tsvetkov",
year = "2014",
doi = "10.1134/S1063773714010083",
language = "English",
volume = "40",
pages = "46--58",
journal = "Astronomy Letters",
issn = "1063-7737",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Distortion of the Stellar Velocity Field Parameters due to Systematic Variations of Parallaxes over the Celestial Sphere

AU - Vityazev, V.V.

AU - Tsvetkov, A.S.

PY - 2014

Y1 - 2014

N2 - Abstract—We study the effect of systematic variations in stellar parallaxes over the celestial sphere on the results of a kinematic analysis of stellar proper motions. Our approach is based on the representation of stellar parallaxes by scalar spherical harmonics and on the decomposition of stellar proper motions into a system of vector spherical harmonics. We derive theoretical relations that relate the coefficients of the decomposition of stellar proper motions into toroidal and spheroidal harmonics to the coefficients of the decomposition of stellar parallaxes into scalar spherical harmonics. We have established that the systematic variations of parallaxes over the celestial sphere distort all parameters of the linear Ogorodnikov–Milne model and can be responsible for the appearance of beyond-the-model harmonics. We have performed a kinematic analysis of the proper motions of blue-white and red giants based on Hipparcos data. The parallaxes of blue-white giants show a strong dependence on Galactic latitude

AB - Abstract—We study the effect of systematic variations in stellar parallaxes over the celestial sphere on the results of a kinematic analysis of stellar proper motions. Our approach is based on the representation of stellar parallaxes by scalar spherical harmonics and on the decomposition of stellar proper motions into a system of vector spherical harmonics. We derive theoretical relations that relate the coefficients of the decomposition of stellar proper motions into toroidal and spheroidal harmonics to the coefficients of the decomposition of stellar parallaxes into scalar spherical harmonics. We have established that the systematic variations of parallaxes over the celestial sphere distort all parameters of the linear Ogorodnikov–Milne model and can be responsible for the appearance of beyond-the-model harmonics. We have performed a kinematic analysis of the proper motions of blue-white and red giants based on Hipparcos data. The parallaxes of blue-white giants show a strong dependence on Galactic latitude

KW - astrometry

KW - stellar kinematics

KW - Galactic structure

KW - Hipparcos

KW - stellar proper motions

KW - spherical harmonics.

U2 - 10.1134/S1063773714010083

DO - 10.1134/S1063773714010083

M3 - Article

VL - 40

SP - 46

EP - 58

JO - Astronomy Letters

JF - Astronomy Letters

SN - 1063-7737

IS - 1

ER -

ID: 7011400