Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..69..521k&link_type=abstract
Astrophysics and Space Science, vol. 69, no. 2, May 1980, p. 521-523.
Astronomy and Astrophysics
Astrophysics
Astrophysics, Galactic Evolution, Galactic Rotation, Spiral Galaxies, Partial Differential Equations, Radial Velocity, Transition Probabilities
Scientific paper
From Markov chain derivations of the coefficients in the collisionless Boltzmann equation, reduction to a partial differential equation with spiral characteristics is proven possible and applied to the case of a rotating galaxy which has already become disk-shaped. The following assumptions are made: that for transitions with no change in location, it is equally likely for the velocity to change by a unit in any direction in the disk; and that for transitions with no change in velocity, it is not equally likely for the radial distance of a star from the center of the disk to decrease and to increase, nor is it equally likely for the circumferential location of a star to increase and to decrease. The cotangent of the angle between radial and tangential directions is given by the ratio of radial velocity to circumferential velocity.
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