Dynamics and gravitational waveforms in spinning compact eccentric binaries

•We numerically study the effect of eccentricity on the PN spinning compact binaries.•The eccentricity has a great effect on the dynamics due to gravitational radiation.•The dynamics and the eccentricity jointly modulate the gravitational waveforms.•The spin–spin effect plays an important role during the gravitational radiation.•The imprint can be deduced from the time-domain and frequency-domain waveforms.

The effects of eccentricity on the Hamiltonian dynamics of post-Newtonian spinning compact binaries and gravitational radiation from eccentric orbits are discussed. The simulation results of scans for chaos show that the eccentricity has a great effect on the dynamics without considering dissipation due to gravitational radiation. Moreover, both the dynamics behavior and the orbital eccentricity jointly modulate the gravitational waveforms, and the spin–spin coupling effect play an important role during the gravitational radiation of inspiral and coalescence. Moreover, the imprint of characteristic of the original system can be deduced from the time-domain and frequency-domain waveforms.