Orbital perturbation theory in Schwarzschild space-time

Oleksii Yanchyshen (University of Bremen)

Time:

11AM Wednesday, 8 October 2025

Location:

UCD Confucius Institute, Room 1.01

The osculating elements technique provides a powerful tool for describing the motion of celestial bodies in space. The LISA mission will offer an opportunity to study gravitational waves from extreme mass ratio inspirals (EMRIs), making accurate orbital models essential. In this talk, I will present a general relativistic perturbation scheme for osculating elements, describing orbits under the influence of a perturbing force in a Schwarzschild space-time, formulated in terms of Weierstrass elliptic functions. I will also give examples of external forces and show linearized solutions of the corresponding osculating elements equations.