Equilibrium structure of differentially rotating polytropic models of the stars

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Section: Equilibrium Structure Of Rotationally and Tidally Distorted mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Equilibrium Structures of Rotationally and Tidally Distorted Polytropic Models of Stars

Lal¹,

Saini²,

Mohan

et al. 2006

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“…Kopal (1972) introduced the concept of Roche equipotentials to analyze the problems of rotating stars and stars in binary systems. Since then several authors such as Kopal (1978Kopal ( , 1980Kopal ( , 1981Kopal ( , 1989, Kopal and Song (1983), Eggleton (1983), Mohan and Singh (1978), Mohan and Saxena (1983), Mohan et al (1990Mohan et al ( , 1992Mohan et al ( , 1997, Lal et al (2001Lal et al ( , 2006 have used this concept to analyze the problems of rotationally and/or tidally distorted stars. In this approach Roche approximation for the inner structure of a star is used to obtain an expression for the potential of a rotating star and star in a binary system.…”

Section: Introductionmentioning

confidence: 97%

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

Lal

Pathania

Mohan

2008

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In this paper an attempt has been made to determine the effect of Coriolis force on the shapes of Roche equipotential surfaces of rotating stars and stars in binary systems. Equations of Roche equipotential surfaces have been obtained for rotating and binary stars which take into account the effects of Coriolis force besides the centrifugal and gravitational forces. Shapes of Roche equipotentials and values of Roche limits are obtained for different values of angular velocity of rotation for rotating stars and for different values of mass ratios for the binary stars. The obtained results have been compared with the corresponding results in which the effect of Coriolis force has not been considered.

“…Kopal (1972Kopal ( , 1978Kopal ( , 1983 and Mohan et al (1978aMohan et al ( , 1978bMohan et al ( , 1982Mohan et al ( , 1990Mohan et al ( , 1991Mohan et al ( , 1992Mohan et al ( , 1997Mohan et al ( , 1998 used this approach to analytically investigate the problems of the structure and oscillations of rotating stars and stars in binary systems. Some other authors who have also made use of the concept of Roche equipotentials in the study of the problems of rotating stars and stars in binary systems are Kitamura and Kopal (1968), Eggleton (1983), Mochnacki (1984), Morris (1994), Kahler (1997), Claret (1999), Seidov (2004, and Lal et al (2006).…”

Section: Introductionmentioning

confidence: 98%

On the validity of series expansion being used for the position of a point on a Roche equipotential

Lal

Saini

Mohan³

et al. 2007

Self Cite

The concept of Roche equipotentials has been frequently used in literature to study the problems of rotating stars and stars in binary systems. However in spite of using this simplifying concept, it is still not possible to express the position of a point in the potential field of such a system in a closed analytic form. In order to carry out further analytic studies, Kopal (Adv. Astron. Astrophys. 9:1-65, 1972), therefore, developed a series expansion for it. The series expansion of Kopal has often been used in the analysis of the problem of equilibrium structure and the periods of oscillations of rotating stars and stars in binary systems, but its validity and convergence has not been analytically established. It is important that this aspect of the problem is checked so that one is sure of the correctness of subsequent analysis and results based on this series expansion. In the present brief note, we have addressed ourselves to this problem and validated the correctness of the numerical results obtained through the use of this series expansion.