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Ratio of the Mean Random Velocity Squares Revisited

Ninković S.

Acta Astronomica

2018

Vol. 68, No. 3

301--313

The paper aims at obtaining a new formula for the ratio of the mean squares of random velocity in the Galactic plane valid for nearly circular orbits. The formula is obtained by considering a more general case and then reducing it to that concerning low eccentricities. The formula usually referred to as "epicyclic one" is its special case. In addition to the ratio of the Oort constants moduli the ratio of the mean velocity squares depends on the distribution of stars in orbital phases which is presented by means of two parameters, including the asymmetry as well. Inclusion of asymmetry contributes to the increase of moduli of both parameters.