Journal of Aeronautics & Aerospace Engineering
Open Access

The average change of the total energy of binary neutron star system due to the emission of gravitational waves with considering mass variation

3^rd International Conference and Exhibition on Satellite & Space Missions

May 11-13, 2017 Barcelona, Spain

Zeinab Ahmed Mabrouk, Shahinaz Yousef and M K Ahmed

Cairo University, Egypt

Posters & Accepted Abstracts: J Aeronaut Aerospace Eng

Abstract :

We have studied the amount of energy lost via gravitational waves emission in the pre-supernova binary neutron star system (SN 1987A) in a time scale of one hour before the explosion event. We based our work on the Imshennik and Popov (1994) paper then we modified it by considering the mass variation using the famous Jeans-law and considering different values for the constant (from 1.4 to 4.4). Using our studied systems��? data and with the aid of Mathematical programme, we got a relation between and the eccentricity which represents the G.W emission stage. We concluded from our curve that the sharp and maximum energy losses via gravitational waves happened at the high eccentricity values i.e. near the periastron position. Also the emission of G.W causes the orbit of the binary system to shrink until it become near circular orbit of e~0. We have extended our study by considering the variation of one companion mass of the binary according to Jeans law, the family of curves drawn for different n values indicates that for 1.4<1.47, a linear relation decreases with time �?. For 1.47, the curves tend to have curvature with a peak point which happens earlier as the value increases.

Biography :

Email: zmabrouk@sci.cu.edu.eg