Advertisement

Astrophysics and Space Science

, Volume 47, Issue 2, pp 299–314 | Cite as

A theory for the gravitational potentials of spheroidal stellar systems and its application to the Galaxy

  • M. Clutton-Brock
  • K. A. Innanen
  • K. A. Papp
Article

Abstract

A new formula for the gravitational potential for spheroidal systems is proposed, and is applied to the galactic system. The applied model consists of a disk, a nucleus and a massive halo. Although this model is not quite so accurate as those produced by the superposition of large numbers of simple spheroids, it has the important advantage of retaining analytic simplicity for its acceleration formulae, thereby producing significant economies for orbit computations. As better observational data become available, the method can be readily expanded.

Keywords

Observational Data Gravitational Potential Applied Model Analytic Simplicity Significant Economy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Allen, C. W.: 1973,Astrophysical Quantities, Athlone Press, London.Google Scholar
  2. Blaauw, A.: 1965, in A. Blaauw and M. Schmidt (eds.),Stars and Stellar Systems, Vol. V, Chap. 20, Univ. Chicago Press.Google Scholar
  3. Hill, E. R.: 1960,Bull Astron. Inst. Netherlands 15, 1.Google Scholar
  4. Innanen, K. A.: 1973,Astrophys. Space Sci. 22, 393.Google Scholar
  5. Kinman, T. D., Wirtanen, C. A., and Janes, K. A.: 1965,Astrophys. J. Suppl. 11, 223.Google Scholar
  6. Kinman, T. D., Wirtanen, C. A., and Janes, K. A.: 1966,Astrophys. J. Suppl. 13, 379.Google Scholar
  7. Kraft, R. P. and Schmidt, M.: 1963,Astrophys. J. 137, 249.Google Scholar
  8. Lohmann, W.: 1974,Astrophys. Space Sci. 27, 227.Google Scholar
  9. Miyamoto, M. and Nagai, R.: 1975,Astron. Soc. Japan 27, 533.Google Scholar
  10. Oort, J. H.: 1960,Bull. Astron. Inst. Netherlands 15, 45.Google Scholar
  11. Oort, J. H.: 1965, in A. Blaauw and M. Schmidt (eds.),Stars and Stellar Systems, Vol. V, Chap. 21, Univ. Chicago Press.Google Scholar
  12. Oort, J. H. and Plaut, L.: 1975Astrophys. Astron. 41, 71.Google Scholar
  13. Perek, L.: 1962, in Z. Kopal (ed.),Advances in Astronomy and Astrophysics, Vol. 1, Academic Press, New York.Google Scholar
  14. Schmidt, M.: 1965, in A. Blaauw and M. Schmidt (eds.),Stars and Stellar Systems, Vol. V, Chap. 22, Univ. Chicago Press.Google Scholar
  15. Schmidt, M.: 1975,Astrophys. J. 202, 22.Google Scholar
  16. Shane, W. W. and Bieger-Smith, G. P.: 1966,Bull. Astron. Inst. Netherlands 18, 263.Google Scholar
  17. Simonson, S. C. and Mader, G. L.: 1973,Astron. Astrophys. 27, 337.Google Scholar
  18. Toomre, A.: 1963,Astrophys. J. 138, 385.Google Scholar
  19. Veeder, G. J.: 1974,Astrophys. J. 191, L57.Google Scholar
  20. Weistrop, D.: 1972a,Astron. J. 77, 366.Google Scholar
  21. Weistrop, D.: 1972b,Astron. J. 77, 849.Google Scholar
  22. Weistrop, D.: 1975,Astron. J. 80, 303.Google Scholar

Copyright information

© D. Reidel Publishing Company 1977

Authors and Affiliations

  • M. Clutton-Brock
    • 1
  • K. A. Innanen
    • 1
  • K. A. Papp
    • 1
  1. 1.Physics Dept. and CRESSYork UniversityTorontoCanada

Personalised recommendations