Four graduate-level problem sets on the Omega Centauri IMBH evidence record. Each set maps directly to OCS interactive tools with pre-filled parameters and includes click-to-reveal worked solutions.
Instructor notes
Each problem set is a self-contained HTML page that prints cleanly to PDF (use browser Print → Save as PDF). Solutions are hidden behind a <details> toggle by default. To generate a version with all solutions open, append ?solutions=1 to any page URL — e.g. omegacentauri.me/pset-1-kinematics.html?solutions=1.
Each page includes pre-filled deeplinks to the relevant OCS interactive tool. Students are expected to use the tool to verify their hand calculations, not as a substitute for them.
Problem Set 1
Stellar Kinematics & Mass Estimation
M–σ relation, Keplerian fast-mover velocities, and the anisotropy degeneracy. Applies the Häberle (2024) detection and Baumgardt (2017) N-body limit to concrete velocity calculations.
40 marks · ~3–4 hr
velocity-dispersion
anisotropy-degeneracy-explorer
Problem Set 2
Pulsar Timing & TRAPUM Constraints
Line-of-sight acceleration limits from period derivatives, point-mass vs. Plummer mass model comparison, and SKA observation design to reach the Häberle mass scale.
40 marks · ~3–4 hr
pulsar-accel-mapper
Problem Set 3
Bayesian Null-Result Analysis
Civiletti (2025) geometric detection model, Bayes factor computation, and prior sensitivity. Contrasts VLA/COSMIC and SKA survey architectures as SETI null-result experiments.
40 marks · ~3–4 hr
workflow-null-result
Problem Set 4
EMRI Gravitational Wave Detectability
ISCO frequency, characteristic strain, LISA sensitivity band placement, spin effects on GW frequency, and EMRI rate estimation for the OC IMBH as a potential LISA source.
40 marks · ~3–4 hr
gw-horizon-plotter