Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network

• Published in: arXiv.org 2017-10
• Main Authors: Ma, Sizheng, Cao, Zhoujian, Chun-Yu, Lin, Hsing-Po Pan, Hwei-Jang Yo
• Format: Article
• Language: English
• Subjects: Astronomy; Binary stars; Coalescing; Eccentricity; Gravitation; Gravitational waves; Localization; Sensors
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1710.02965

Gravitational wave source localization problem is important in gravitational wave astronomy. Regarding ground-based detector, almost all of the previous investigations only considered the difference of arrival time among the detector network for source localization. Within the matched filtering framework, the information beside the arrival time difference can possibly also do some help on source localization. Especially when an eccentric binary is considered, the character involved in the gravitational waveform may improve the source localization. We investigate this effect systematically in the current paper. During the investigation, the enhanced post-circular (EPC) waveform model is used to describe the eccentric binary coalesce. We find that the source localization accuracy does increase along with the eccentricity increases. But such improvement depends on the total mass of the binary. For total mass 100M\({}_\odot\) binary, the source localization accuracy may be improved about 2 times in general when the eccentricity increases from 0 to 0.4. For total mass 65M\({}_\odot\) binary (GW150914-like binary), the improvement factor is about 1.3 when the eccentricity increases from 0 to 0.4. For total mass 22M\({}_\odot\) binary (GW151226-like binary), such improvement is ignorable.