Research output: Contribution to journal › Article
UCAC4: Stellar kinematics with vector spherical functions. / Vityazev, V.V.; Tsvetkov, A.S.
In: Astronomische Nachrichten, Vol. 334, No. 8, 2013, p. 760-768.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - UCAC4: Stellar kinematics with vector spherical functions
AU - Vityazev, V.V.
AU - Tsvetkov, A.S.
PY - 2013
Y1 - 2013
N2 - We present a method of kinematic analysis of proper motions by vector spherical functions, and the results of its application to astrometric data. The sets of vector spherical functions which are orthonormal on a full sphere as well as on a latitude zone are constructed. Decomposition of the proper motions into a set of such functions allows model-independent study of stellar kinematics. If needed, the parameters of the standard (say, Ogorodnikov-Milne) model may be derived from the coefficients of the decomposition. In contrast to the commonly used least squares estimation of the model’s parameters, vector spherical functions identify all systematic components of the velocity field (no matter, whether they are incorporated into the model or not) and give us a possibility to test whether the data are compatible with the model. In this paper, we apply this technique for the first time to the proper motions from the UCAC4 catalog for stars in the 11 to 16 magnitude range. We derive all-sky solutions and the sol
AB - We present a method of kinematic analysis of proper motions by vector spherical functions, and the results of its application to astrometric data. The sets of vector spherical functions which are orthonormal on a full sphere as well as on a latitude zone are constructed. Decomposition of the proper motions into a set of such functions allows model-independent study of stellar kinematics. If needed, the parameters of the standard (say, Ogorodnikov-Milne) model may be derived from the coefficients of the decomposition. In contrast to the commonly used least squares estimation of the model’s parameters, vector spherical functions identify all systematic components of the velocity field (no matter, whether they are incorporated into the model or not) and give us a possibility to test whether the data are compatible with the model. In this paper, we apply this technique for the first time to the proper motions from the UCAC4 catalog for stars in the 11 to 16 magnitude range. We derive all-sky solutions and the sol
KW - astrometry – catalogs – Galaxy: kinematics and dynamics – stars: kinematics
U2 - 10.1002/asna.201311917
DO - 10.1002/asna.201311917
M3 - Article
VL - 334
SP - 760
EP - 768
JO - Astronomische Nachrichten
JF - Astronomische Nachrichten
SN - 0004-6337
IS - 8
ER -
ID: 7381173