Maximum-likelihood estimation of kinematic parameters

Astronomy and Astrophysics – Astronomy

Scientific paper

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Body Kinematics, Maximum Likelihood Estimates, Parameter Identification, Stellar Motions, Algorithms, Correlation, Eigenvectors, Stellar Magnitude

Scientific paper

A generalized maximum likelihood algorithm for determining star kinematic parameters and absolute magnitudes from observed proper motions, radial velocities and photometry is described. This takes account of correlation between stellar velocity components arising from an ellipsoidal distribution of residual velocities, as well as observational errors. Tests of the algorithm using synthetic data samples are described. For a stellar population with velocity dispersion on the order of 100 km/sec, the maximum likelihood estimators of absolute magnitude and its variance are highly correlated.

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