Parameters
IMBH mass
8,200 M☉
Velocity anisotropy β
0.00
← tangentialisotropicradial →
Remnant cluster mass Mrem
0 M☉
Remnant scale radius rrem
1.0 pc
OC Distance
5.49 kpc
β = 0: isotropic
β > 0: radially biased orbits — central cusp amplified, can masquerade as IMBH
β < 0: tangentially biased — cusp suppressed
β > 0: radially biased orbits — central cusp amplified, can masquerade as IMBH
β < 0: tangentially biased — cusp suppressed
Physics & citations
Uses the spherical isotropic Jeans equation with constant anisotropy parameter β (Binney & Tremaine §4.8.2). The tracer density follows a Plummer model (Mcl = 4 × 10⁶ M☉, a = 7 pc). The remnant cluster is an independent Plummer component contributing dynamical mass but no luminous tracers. The IMBH is a point mass at the centre.
Jeans solution (constant β): ρσ_r²(r) = r^{−2β} ∫_r^∞ ρ(r′) G M_enc(r′)/r′² · r′^{2β} dr′
Projected LOS dispersion via Abel integral: σ_los²(R) = ∫₀^∞ (1 − βR²/r²) (ρ_cl/ρ_tot) ρ_tot σ_r² dz / ∫₀^∞ ρ_cl dz, where r = √(R² + z²).
Reference profile (grey) is approximate — derived from the published oMEGACat VI data summary (Häberle et al. 2025, proper motions + radial velocities). Uncertainties are illustrative.
⚠ Both Häberle 2024 (≥ 8,200 M☉ lower limit) and Bañares-Hernández 2025 (≤ 6,000 M☉ 3σ upper limit) remain valid and unreconciled. This tool intentionally shows the degeneracy argument — it does not settle the question.
Häberle et al. 2024, Nature 631:285 — doi:10.1038/s41586-024-07511-z
Bañares-Hernández et al. 2025, A&A 693:A104 — doi:10.1051/0004-6361/202451763
den Brok et al. 2023 (IMBH wander+anisotropy), A&A — doi:10.1051/0004-6361/202246124
van der Marel & Anderson 2010 (HST kinematics) — doi:10.1088/0004-637X/710/2/1063
Bañares-Hernández et al. 2025, A&A 693:A104 — doi:10.1051/0004-6361/202451763
den Brok et al. 2023 (IMBH wander+anisotropy), A&A — doi:10.1051/0004-6361/202246124
van der Marel & Anderson 2010 (HST kinematics) — doi:10.1088/0004-637X/710/2/1063
σ_los (inner 0.1 pc)
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IMBH detectability
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Profile fit χ²/N
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σlos profile vs projected radius
Degeneracy verdict
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Computing execution hash…