Determination of Orbital Periastron and Apastron Points and Their Time Values on h+ and hX Gravitational Waveforms in Eccentric Binary Systems
Diğer yayınlar > Diğer · 2022
Yazarlar: Hakan Özçelik
Diğer, Uluslararası, 2022,
Özet
Abstract In this study, we analyze the gravitational wave polarization h+ and h× waveforms according to the true and eccentric anomalies for a binary system with eccentricity. For such a binary system, using the h+ and h× waveforms according to the true and eccentric anomalies, we plot graphs according to different values of eccentricity e and show the locations of orbital periastron and apastron points on waveforms. In the next step, taking into account the orbital inclination angle i, argument of periastron ω0 and longitude of the ascending node Ω0, according to any observer, we derive h+ and h× waveforms more comprehensively with respect to the true anomaly of a binary system with eccentricity. As an example, we apply these latter derived expression to PSR B1534+12 and PSR B1913+16 binary pulsar systems. Using current data of these binary pulsar systems and the values of ω0 and Ω0 parameters through literature (and also used arbitrary values for these parameters), we obtain different h+ and h× waveforms. Finally, by using the h+ waveforms generated for these binary pulsar systems, we obtain the times for the periastron and apastron points and the time to arrive from the periastron to the apastron (t1) and the time arrive from the apastron to periastron (t2), and then we conclude the study by discussing these results.