# Local Stability and Structure of a Differentially Rotating Star of Non- Uniform Density

## Keywords:

Roche-Equipotential, Equilibrium Structure, Tidal Distortion, Differential Rotation, Mass Variation## Abstract

A method is proposed to compute the theoretical estimation of physical parameters and stability of differential

rotation for polytropic stars including mass variation. The law of differential rotation is assumed to be in the form4

3

2

21

2 )( sbsbbs

, the angular velocity of rotation (ω) is a function of distance (s) of the fluid element

from the axis of rotation. Utilizing the concepts of Roche- equipotential and averaging approach of (Kippenhahn

and Thomas, 1970) in a manner, earlier used by (Saini, et al., 2012) to incorporate the effects of differential

rotation on the equilibrium structure of polytropic stellar models. The inner structure of differentially rotating

polytropic models of a star is demonstrated by calculating various physical parameters for suitable combinations

of parameters

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## References

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## How to Cite

*Journal of Graphic Era University*,

*7*(1), 29–40. Retrieved from https://riverpublishersjournal.com/index.php/JGEU/article/view/67