  An extreme-mass-ratio burst (EMRB) is a gravitational wave signal emitted
when a compact object passes through periapsis on a highly eccentric orbit
about a much more massive body, in our case a stellar mass object about the
4.31 \times 10^6 M_sol massive black hole (MBH) in the Galactic Centre. We
investigate how EMRBs could constrain the parameters of the Galaxy's MBH. EMRBs
should be detectable if the periapsis is r_p < 65 r_g for a \mu = 10 M_sol
orbiting object, where r_g = GM/c^2 is the gravitational radius. The
signal-to-noise ratio \rho scales like log(\rho) = -2.7 log(r_p/r_g) +
log(\mu/M_sol) + 4.9. For periapses smaller than ~ 10 r_g, EMRBs can be
informative, providing good constraints on both the MBH's mass and spin.

High Energy Astrophysical Phenomena;Cosmology and Nongalactic Astrophysics;Astrophysics of Galaxies;General Relativity and Quantum Cosmology