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astro-ph2004★ 1 cited
The generalized Roche model
Zakir F. Seidov
Some exact analytical formulas are presented for the generalized Roche model of rotating star. The gravitational field of the central core is described by the model of two equal-ma…
astro-ph2004★ 4 cited
Lane-Emden Equation: perturbation method
Zakir F. Seidov
The perturbation method is applied to numerical solution of the Lane-Emden Equation of arbitrary index n, and the global parameters of polytropes are found as function of polytropi…
astro-ph2004
The quasi-incompressible planet: some analytics
Zakir F. Seidov
Exact and approximate analytical formulas are derived for the internal structure and global parameters of the spherical non-rotating quasi-incompressible planet. The planet is mode…