Standard

Vertical gradients in the Galactic rotation derived from proper motions in the UCAC4, PPMXL and XPM catalogues. / Vityazev, V.V.; Tsvetkov, A.S.

In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ, Vol. 2(60), No. 3, 2015, p. 453-462.

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

Harvard

Vityazev, VV & Tsvetkov, AS 2015, 'Vertical gradients in the Galactic rotation derived from proper motions in the UCAC4, PPMXL and XPM catalogues', ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ, vol. 2(60), no. 3, pp. 453-462.

APA

Vityazev, V. V., & Tsvetkov, A. S. (2015). Vertical gradients in the Galactic rotation derived from proper motions in the UCAC4, PPMXL and XPM catalogues. ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ, 2(60)(3), 453-462.

Vancouver

Vityazev VV, Tsvetkov AS. Vertical gradients in the Galactic rotation derived from proper motions in the UCAC4, PPMXL and XPM catalogues. ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ. 2015;2(60)(3):453-462.

Author

Vityazev, V.V. ; Tsvetkov, A.S. / Vertical gradients in the Galactic rotation derived from proper motions in the UCAC4, PPMXL and XPM catalogues. In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ. 2015 ; Vol. 2(60), No. 3. pp. 453-462.

BibTeX

@article{a8d4e4dafb8b425b85e826d5526f7e13,
title = "Vertical gradients in the Galactic rotation derived from proper motions in the UCAC4, PPMXL and XPM catalogues",
abstract = "The modern astrometric catalogues UCAC4 [1], PPMXL [2] and XPM [3] - with full coverage of the sky - contain millions of entries and provide qualitatively new material, particularly for investigating the kinematics of nearby stars in both Galactic hemispheres separately. Unfortuna tely, due to strong correlations of the parameters, the standard LS solutions of the Ogorodnikov-Milne equations on hemispheres cannot be trusted. To remedy this we use an approach, the rst step of which is the expansion of proper motions in a system of vector spherical harmonics which are orthonormal on a hemisphere. In the second step, the kinematic parameters are derived from the coecients of the expansion. This approach was rst used by Vityazev and Tsvetkov [4] for a kinematic analysis of the proper motions listed in the astrometric catalogues Hipparcos [5], Tycho-2 [6] and UCAC3 [7]. In the current paper, this technique is applied to the extensive present-day catalogues UCAC4, PPMXL and XPM containing up to 108 stars.",
keywords = "astrometry, stellar kinematics, proper motions, spherical harmonics, астрометрия, звездная кинематика, структура Галактики, собственные движения звезд, сферические функции",
author = "V.V. Vityazev and A.S. Tsvetkov",
year = "2015",
language = "English",
volume = "2(60)",
pages = "453--462",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "3",

}

RIS

TY - JOUR

T1 - Vertical gradients in the Galactic rotation derived from proper motions in the UCAC4, PPMXL and XPM catalogues

AU - Vityazev, V.V.

AU - Tsvetkov, A.S.

PY - 2015

Y1 - 2015

N2 - The modern astrometric catalogues UCAC4 [1], PPMXL [2] and XPM [3] - with full coverage of the sky - contain millions of entries and provide qualitatively new material, particularly for investigating the kinematics of nearby stars in both Galactic hemispheres separately. Unfortuna tely, due to strong correlations of the parameters, the standard LS solutions of the Ogorodnikov-Milne equations on hemispheres cannot be trusted. To remedy this we use an approach, the rst step of which is the expansion of proper motions in a system of vector spherical harmonics which are orthonormal on a hemisphere. In the second step, the kinematic parameters are derived from the coecients of the expansion. This approach was rst used by Vityazev and Tsvetkov [4] for a kinematic analysis of the proper motions listed in the astrometric catalogues Hipparcos [5], Tycho-2 [6] and UCAC3 [7]. In the current paper, this technique is applied to the extensive present-day catalogues UCAC4, PPMXL and XPM containing up to 108 stars.

AB - The modern astrometric catalogues UCAC4 [1], PPMXL [2] and XPM [3] - with full coverage of the sky - contain millions of entries and provide qualitatively new material, particularly for investigating the kinematics of nearby stars in both Galactic hemispheres separately. Unfortuna tely, due to strong correlations of the parameters, the standard LS solutions of the Ogorodnikov-Milne equations on hemispheres cannot be trusted. To remedy this we use an approach, the rst step of which is the expansion of proper motions in a system of vector spherical harmonics which are orthonormal on a hemisphere. In the second step, the kinematic parameters are derived from the coecients of the expansion. This approach was rst used by Vityazev and Tsvetkov [4] for a kinematic analysis of the proper motions listed in the astrometric catalogues Hipparcos [5], Tycho-2 [6] and UCAC3 [7]. In the current paper, this technique is applied to the extensive present-day catalogues UCAC4, PPMXL and XPM containing up to 108 stars.

KW - astrometry

KW - stellar kinematics

KW - proper motions

KW - spherical harmonics

KW - астрометрия

KW - звездная кинематика

KW - структура Галактики

KW - собственные движения звезд

KW - сферические функции

UR - http://vestnik.spbu.ru/html15/s01/s01v3/15.pdf

M3 - Article

VL - 2(60)

SP - 453

EP - 462

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

SN - 1025-3106

IS - 3

ER -

ID: 5785970