Abstract
We have considered some aspects of the structural features of the classical (Newtonian) equilibrium of a highly rotating spheroidal polytropen=1, governed by the equation of state:P=constantρ γ (P denotes the pressure, π the density and γ the adiabatic constant). Approximate analytical solutions to the equilibrium equations suitable for use in very short computer programs or on small calculators have been given in (u Θ,v Θ), (u p, vp), (u π,v π) and (ξ Θ, θ) planes for γ=2 following Padé (2,2) approximation technique. Under certain transformations, the equilibrium equation has been cast into first order differential equations in (u Θ,v Θ), (u p, vp), (u π,v π), (z Θ,y Θ), (z p, yp) and (z π,y π) planes. Transformations connecting solutions in these planes have been derived. Graphical material is included showing a comparative study of the runs ofu Θ withv Θ (Fig. 1),u p withv p (Fig. 2),u π withv π (Fig. 3), Θ withξ Θ (Fig. 4) and ζ with Δw (Fig. 5) for rotating (w=0.05 andw=0.15) and non-rotating (w=0) configurations. It has been found that the present method of approach is also more suitable for the study of both slowly and highly rotating configurations.
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Working as a Research Assistant supported by a grant from CST, U. P., Lucknow, India
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Sharma, J.P., Yadava, R.B. Analytic study of the classical equilibrium of highly rotating spheroidal polytropes. Acta Physica Hungarica 72, 55–69 (1992). https://doi.org/10.1007/BF03177496
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DOI: https://doi.org/10.1007/BF03177496