MG12 - Talk detail
 

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Abstract

Choreography and gravitational waves for 2-body and 3-body gravitating systems

In the framework of general relativity, I shall first discuss choreographic solutions for the three-body problem, where a solution is called choreographic if every massive particles move periodically in a single closed orbit. In general relativity, the periastron shift prohibits a binary system from orbiting in a single closed curve. Remarkably, a ``figure-eight'' solution is shown to be choreographic even at the PN approximation by carefully examining initial conditions. Next, gravitational waves for 2-body and 3-body gravitating systems shall be discussed as an inverse problem. It is shown that quadrupole waveforms cannot distinguish a binary and a three-body source at particular configurations, especially through extending the definition of the chirp mass to such a three-body system. Finally, I shall present a conjecture on N particles for classification of sources with multipolar waveforms. References: Chiba, Imai, Asada, 377 (2007) 269; Imai, Chiba, Asada, 98 (2007) 201102; Torigoe, Hattori, Asada, submitted to PRL.

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