Abstract
view Abstract Citations (10) References (16) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Equilibrium of Rapidly Rotating Galaxies Vandervoort, Peter O. Abstract This paper deals with the simultaneous solution of the Liouville equation and the Poisson equation governing the structure of a highly flattened, rapidly rotating galaxy. The investigation is restricted to an axisymmetric system in a steady state In Part A the Liouville equation is solved for the distribution function governing a population of stars in an arbitrary timeAndependent, axisymmetric gravitational field. The distribution function is expressed as a formal series in powers of a small parameter characterizing the departures of stellar orbits from circular orbits, and the solution is obtained to terms of the first order in that parameter. Part B deals with the solution of the Poisson equation for a galaxy which contains a single stellar population governed by a Schwarzschild distribution of the peculiar velocities The density is calculated with the aid of the distribution function obtained in Part A, and both the density and the potential are expressed as formal series in the small parameter characterizing the de ar- tures of orbits from circular orbits and a second small parameter characterizing the thickness of the galaxy The dominant contributions to the density and the potential are determined Publication: The Astrophysical Journal Pub Date: January 1967 DOI: 10.1086/148983 Bibcode: 1967ApJ...147...91V full text sources ADS |
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
