Astrophysics and Space Science

, Volume 315, Issue 1–4, pp 157–165 | Cite as

Effect of Coriolis force on the equilibrium structures of rotating stars and stars in binary systems

Original Article
First Online:
Received:
Accepted:

Abstract

Kopal (Adv. Astron. Astrophys. 9:1–65, 1972) introduced the concept of Roche equipotentials to incorporate the effects of rotation and tidal distortions on the equilibrium structure and periods of small oscillations of rotating stars and stars in binary systems. However his expression for the Roche equipotential accounts for only the effects of centrifugal and gravitational forces and does not take into account the effect of Coriolis force. In this paper we have suitably modified Kopal’s expression for Roche equipotentials to incorporate into it the effect of Coriolis force as well. The modified expression for the Roche equipotential has then been used to compute the equilibrium structures and shapes of polytropic models of rotating stars and stars in binary systems.

Keywords

Binary stars Rotating stars Roche equipotentials Coriolis force Equilibrium structures 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chandrasekhar, S.: Mon. Not. R. Astron. Soc. 93, 390–405 (1933) MATHADSGoogle Scholar
  2. Galli, D.: Astrophys. Space Sci. 188, 241–255 (1992) CrossRefADSGoogle Scholar
  3. Geroyannis, V.S., Valvi, F.N.: Astrophys. J. 299, 695–705 (1985) CrossRefADSGoogle Scholar
  4. Horedt, G.P.: Polytropes, Applications in Astrophysics and Related Fields. Kluwer Academic, Dordrecht (2004) Google Scholar
  5. James, R.A.: Astrophys. J. 140, 552–582 (1964) CrossRefADSMathSciNetGoogle Scholar
  6. Kippenhahn, R., Thomas, H.C.: A simple method for the solution of stellar structure equation including rotation and tidal forces. In: Stellar Rotation. Reidel, Dordrecht (1970) Google Scholar
  7. Kopal, Z.: Adv. Astron. Astrophys. 9, 1–65 (1972) ADSGoogle Scholar
  8. Lal, A.K., Mohan, C., Singh, V.P.: Indian J. Pure Appl. Math. 32(12), 1765–1776 (2001) MATHGoogle Scholar
  9. Lal, A.K., Saini, S., Mohan, C., Singh, V.P.: Astrophys. Space Sci. 306, 165–169 (2006) MATHCrossRefADSGoogle Scholar
  10. Linnell, A.P.: Astrophys. Space Sci. 80, 501–511 (1981) CrossRefADSMathSciNetGoogle Scholar
  11. Mohan, C., Singh, V.P.: Astrophys. Space Sci. 56, 109–117 (1978) MATHCrossRefADSGoogle Scholar
  12. Mohan, C., Saxena, R.M.: Astrophys. Space Sci. 95, 369–381 (1983) CrossRefADSGoogle Scholar
  13. Mohan, C., Saxena, R.M.: Astrophys. Space Sci. 113, 155–169 (1985) CrossRefADSGoogle Scholar
  14. Mohan, C., Saxena, R.M., Agarwal, S.R.: Astrophys. Space Sci. 163, 23–39 (1990) CrossRefADSMathSciNetGoogle Scholar
  15. Mohan, C., Saxena, R.M., Agarwal, S.R.: Astrophys. Space Sci. 178, 89–105 (1991) CrossRefADSGoogle Scholar
  16. Mohan, C., Lal, A.K., Singh, V.P.: Astrophys. Space Sci. 193, 69–85 (1992) CrossRefADSGoogle Scholar
  17. Mohan, C., Lal, A.K., Singh, V.P.: Astrophys. Space Sci. 215, 111–130 (1994) CrossRefADSGoogle Scholar
  18. Mohan, C., Lal, A.K., Singh, V.P.: Astrophys. Space Sci. 254, 97–109 (1997) MATHCrossRefADSGoogle Scholar
  19. Mohan, C., Lal, A.K., Singh, V.P.: Indian J. Pure Appl. Math. 29(2), 199–220 (1998) MATHGoogle Scholar
  20. Monaghan, J.J.: Z. Astrophys. 67, 222–226 (1967) ADSGoogle Scholar
  21. Stoeckly, R.: Astrophys. J. 142, 208–228 (1965) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.School of Mathematics and Computer ApplicationsThapar UniversityPatialaIndia
  2. 2.IIT RoorkeRoorkeIndia
  3. 3.Ambala College of Engineering & Applied ResearchAmbala Cantt.India

Personalised recommendations