The first study of the short period contact binary V415 Gem

The photometric study of the short period contact binary V415 Gem are performed for the first time. We discovered that it is a W-subtype shallow contact binary with a mass ratio of q = 2.297 and a contact degree of f = 3.6%. The light curves of the target exhibit an O’Connell effect, we attached a cool star-spot on its primary component for better fitting results. At the same time, the third light was found during our analysis by using the 2015 version of the Wilson–Devinney ($W-D$) code. And the average luminosity contribution of the third light is 44% of the total light. Besides, the $O-C$ curve of V415 Gem exhibits a cyclic variation, which is due to the light-travel time effect caused by the presence of a third component with an amplitude of 0.0033 days and a period of 11.5 years. The mass of the third body is estimated to be M${}_3\sim 1.08$M${}_{\odot }$.