¹Department of Physics Nehru Gram Bharti University Kotwa Dubawal Allahabad India

²Department of Physics Ewing Christian College Allahabad India

Polytropes has been analytical studied under the concept of a sphere of uniform density by the polytrophic indices n tending to zero and n tending one. In this paper we have demonstrated that the temperature of the stars keeps on decreasing from its centre to surface. Approximate analytic solutions to the equilibrium equations have been presented in phase planes such as (U,V), Transformations connecting solutions in this phase plane have been obtained and discussed