Authors: Yuji Torigoe, Keisuke Hattori, Hideki Asada
Date: 8 Jun 2009
Abstract: Different numbers of self-gravitating particles (in different types of periodic motion) are most likely to generate very different shapes of gravitational waves, some of which, however, can be accidentally almost the same. One such example is a binary and a three-body system for Lagrange's solution. To track the evolution of these similar waveforms, we define a chirp mass to the triple system. Thereby, we show that the quadrupole waveforms cannot distinguish the sources. It is suggested that waveforms with higher $\ell$-th multipoles will be important for classification of them (with a conjecture of $\ell \leq N$ for N particles).
© M. Vallisneri 2012 — last modified on 2010/01/29
Tantum in modicis, quantum in maximis