The Dynamics of Stellar Systems. I-Viii
Abstract
The kinematical characteristics which are postulated in this paper for describing the state of motions in a stellar system are the following: (i) For every small region in the system we can define uniquely a local standard of rest. (ii) The different local standards of rest are in relative motion. (iii) The motions of the individual stars with i~espect to the appropriate local frames of references are distributed according to a generalized ellip- soidal law. (iv) The motions of the individual stars are governed by a potential func- tion Q~. And, finally (v), the system is in a steady state. The present investigation is concerned with the dynamics of such stellar systems with differential motions. Mathematically, the dynamical problem reduces to finding the circumstances under which the equation of continuity regarded as a partial differential equation for the distribution function, ~`, admits of a solution of the for
- Publication:
-
The Astrophysical Journal
- Pub Date:
- July 1939
- DOI:
- 10.1086/144094
- Bibcode:
- 1939ApJ....90....1C