Journal of Astrophysics and Astronomy

, Volume 34, Issue 1, pp 69–73 | Cite as

On the Use of Roche Equipotentials in Analysing the Problems of Binary and Rotating Stars

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Abstract

Kopal (Adv. Astron. Astrophys., 9, 1, 1972) introduced the concept of Roche equipotentials to analyse the effects of rotational and tidal distortions in case of stars in binary systems. In this approach a mathematical expression for the potential of a star in a binary system is obtained by approximating its inner structure with Roche model. This expression for the potential has been used in subsequent analysis by various authors to analyse the problems of structures and oscillations of synchronous and nonsynchronus binary stars as well as single rotating stars. Occasionally, doubts have been expressed regarding the validity of the use of this approach for analysing nonsynchronous binaries and rotationally and tidally distorted single stars. In this paper we have tried to clarify these doubts.

Keywords

Methods: analytic—binary: close—stars: rotation 

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Copyright information

© Indian Academy of Sciences 2013

Authors and Affiliations

  1. 1.School of Mathematics and Computer ApplicationsThapar UniversityPatialaIndia
  2. 2.Ambala College of Engineering and Applied ResearchAmbala CanttIndia

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