  The first multi-color light curve analysis of the AH Mic binary system is
presented. This system has very few past observations from the southern
hemisphere. We extracted the minima times from the light curves based on the
Markov Chain Monte Carlo (MCMC) approach and obtained a new ephemeris. To
provide modern photometric light curve solutions, we used the Physics of
Eclipsing Binaries (Phoebe) software package and the MCMC approach. Light curve
solutions yielded a system temperature ratio of 0.950, and we assumed a cold
star-spot for the hotter star based on the O'Connell effect. This analysis
reveals that AH Mic is a W-subtype W UMa contact system with a fill-out factor
of 21.3% and a mass ratio of 2.32. The absolute physical parameters of the
components are estimated by using the Gaia Early Data Release 3 (EDR3) parallax
method to be M_h(M_Sun)=0.702(26), M_c(M_Sun)=1.629(104), R_h(R_Sun)=0.852(21),
R_c(R_Sun)=1.240(28), L_h(L_Sun)=0.618(3) and L_c(L_Sun)=1.067(7). The orbital
angular momentum of the AH Mic binary system was found to be 51.866(35). The
components' positions of this system are plotted in the Hertzsprung-Russell
(H-R) diagram.
