# 黑洞吸积盘

交互式相对论黑洞吸积盘可视化——展示多普勒增亮、引力红移与薄盘温度分布 T(r) ∝ r⁻³ᐟ⁴

> 标准页面: https://elysiatools.com/zh/visualizations/black-hole-accretion-disk

- **分类:** Physics

## 概述

Interactive black hole accretion disk visualization based on the Shakura-Sunyaev (1973) thin disk model. Ray-traced disk view with Doppler beaming (approaching gas boosted, receding gas dimmed), gravitational redshift, and Keplerian orbital velocities. Temperature profile T(r) ∝ r⁻³ᐟ⁴ computed from viscous dissipation with ISCO (innermost stable circular orbit) boundary condition, supporting both Schwarzschild (a*=0) and Kerr (a*>0) black holes. Three visualization panels: (1) Main ray-traced accretion disk view with black hole shadow (~2.6 Rs photon sphere), Doppler brightness asymmetry, multi-temperature color mapping (cool=red → warm=yellow → hot=blue-white), and gravitational lensing glow; (2) Temperature profile T(r) plot showing the Shakura-Sunyaev profile with ISCO marked; (3) Multi-temperature blackbody emission spectrum (νF_ν vs log ν) integrated over disk annuli with peak frequency labeled and IR/UV/X-ray/γ band markers. Adjustable parameters: black hole mass (1-100 M☉), inclination angle (5-89°), accretion rate (0.01-1.0 Ṁ_Edd), spin parameter a* (0-0.99), Doppler boost factor, rotation speed. Four presets: Stellar BH (10 M☉), Sgr A* (4×10⁶ M☉), M87* (6.5×10⁹ M☉), Thin Disk. Real-time statistics: Schwarzschild radius, ISCO, peak temperature, luminosity. Educational content covers accretion disk physics, relativistic effects (gravitational lensing, Doppler beaming, gravitational redshift), and observational signatures (X-ray binaries, AGN, tidal disruption events, Event Horizon Telescope). Multi-language support (zh, en, es, fr, de, ru, pt).

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