Light curve of a source orbiting around a black hole: A fitting-formula

Abstract

A simple, analytical fitting-formula for a photometric light curve of a source of light orbiting around a black hole is presented. The formula is applicable for sources on a circular orbit with radius smaller than 45 gravitational radii from the black hole. This range of radii requires gravitational focusation of light rays and the Doppler effect to be taken into account with care. The fitting-formula is therefore useful for modelling the X-ray variability of inner regions in active galactic nuclei.

12 pages, requires aasms.sty, to appear in The Astrophysical Journal, Vol. 470 (October 20, 1996), figures available upon request from the Author, or at http://otokar.troja.mff.cuni.cz/user/karas/au_www/karas/papers.htm