Uploaded July 2022 | Updated September 2026, 2 hours ago
We model the dynamics of and calculate the gravitational waveforms from ``Trojan analog'' EMRIs: multiple EMRIs in a single system, locked in 1:1 resonant orbits, analogous to Jupiter's Trojan asteroids. We present and confirm the accuracy of the methods used to calculate the equations of motion of such a system using Newtonian, 1st post-Newtonian (PN), and 2.5 PN terms of motion with Hamiltonian Mechanics. Using the resulting motion of the three--body system, we present methods used to calculate the gravitational waves produced by the system's inspiral using the quadrupole formula. We then conduct a comparison test of the Resonant Trojan system to a Single, classical EMRI system which concludes that these Trojan EMRIs hold a mix of unique observational potentials, distinct from those of Single EMRI systems, that may be detectable with the LISA mission, while simultaneously providing detailed orbital dynamics around a supermassive black hole.
Authors: Vanessa Myhaver, Jeremy Schnittman
Presenter: Vanessa Myhaver
We model the dynamics of and calculate the gravitational waveforms from ``Trojan analog'' EMRIs: multiple EMRIs in a single system, locked in 1:1 resonant orbits, analogous to Jupiter's Trojan asteroids. We present and confirm the accuracy of the methods used to calculate the equations of motion of such a system using Newtonian, 1st post-Newtonian (PN), and 2.5 PN terms of motion with Hamiltonian Mechanics. Using the resulting motion of the three--body system, we present methods used to calculate the gravitational waves produced by the system's inspiral using the quadrupole formula. We then conduct a comparison test of the Resonant Trojan system to a Single, classical EMRI system which concludes that these Trojan EMRIs hold a mix of unique observational potentials, distinct from those of Single EMRI systems, that may be detectable with the LISA mission, while simultaneously providing detailed orbital dynamics around a supermassive black hole.
Authors: Vanessa Myhaver, Jeremy Schnittman
Presenter: Vanessa Myhaver
