Astrophysics and Space Science

, Volume 69, Issue 2, pp 521–523 | Cite as

Sufficiency conditions for the development of spiral arms in galaxies

  • A. Kyrala
Letter to the Editor
  • 20 Downloads

Abstract

From previously published Markov chain derivations of the coefficients (in terms of transition probabilities) in the collisionless Boltzmann equation it proves possible, with plausible assumptions about the transition probabilities, to reduce to a partial differential equation with spiral characteristics. This is applied to the case of a rotating galaxy which has already become disk-shaped. The contangent of the angle between radial and tangential directions is then given by the ratio of radial velocity to circumferential velocity.

Keywords

Differential Equation Markov Chain Partial Differential Equation Radial Velocity Boltzmann Equation 

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References

  1. Courant, R. and Friedrichs, K. O.: 1948,Supersonic Flow and Shock Waves, pp. 40, 42, 53. Interscience Publishers, New York.Google Scholar
  2. Danver, C. G.: 1937, ‘Die Form der Arme der anagalaktischen Nebel’,Medd. Lund Astr. Obs., Ser. I, No. 147.Google Scholar
  3. Kyrala, A.: 1974, ‘Selection Rules, Causality and Uniqueness in Statistical and Quantum Physics’,Found. Phys. 4, 40.Google Scholar
  4. Ogrodnikov, K. G.: 1965,Dynamics of Stellar Systems, p. 40. Macmillan, New York.Google Scholar

Copyright information

© D. Reidel Publishing Co. 1980

Authors and Affiliations

  • A. Kyrala
    • 1
  1. 1.Department of PhysicsArizona State UniversityTempeU.S.A.

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