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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


Non-Radial Pulsations of Distorted Stellar Structures: Effect of Mass Variation

Non-Radial Pulsations of Distorted Stellar Structures: Effect of Mass Variation

Seema Saini
Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India.

Sunil Kumar
Department of Mathematics, Graphic Era Hill University, Dehradun, Uttarakhand, India.

Vineet Bhatt
Department of Mathematics, Chandigarh University, Mohali, Punjab, India.

Pradeep Bedi
Department of Computer Science and Engineering, Lingaya's Vidyapeeth, Faridabad, Haryana, India.

DOI https://doi.org/10.33889/IJMEMS.2021.6.5.084

Received on April 24, 2021
  ;
Accepted on September 18, 2021

Abstract

Eigen-frequencies (EF) of non–radial modes (NRM) of pulsations of differentially rotating (D R) and tidally distorted (T D) stellar models by considering the effect of mass variation (MV) on its equi-potentials surfaces inside a star. The method utilizes an averaging proposal of Kippenhahn and Thomas (K and T) with conjunction of the concept of Roche-equipotential. The study accolades and corrects earlier studies of non-radial (NR) pulsations of DR and TD stellar structures of different natures such as radial and non-radial oscillations, X-ray, gamma ray and other electromagnetic disturbances. The reflection of the work comes from the requirements of the inclusion of non-uniform densities that yield Lane-Emden equation to have reliable results up to second order disturbances.

Keywords- Equipotential surface, Non- radial oscillations, Differential rotation, Tidal distortions, Polytropic models, Mass variation.

Citation

Saini, S., Kumar, S., Bhatt, V., & Bedi, P. (2021). Non-Radial Pulsations of Distorted Stellar Structures: Effect of Mass Variation. International Journal of Mathematical, Engineering and Management Sciences, 6(5), 1391-1405. https://doi.org/10.33889/IJMEMS.2021.6.5.084.