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Eclipse timing variation analysis has become a powerful method to discoverplanets around binary systems. We applied this technique to investigate theeclipse times of GK Vir. This system is a post-common envelope binary with anorbital period of 8.26 h. Here, we present 10 new eclipse times obtainedbetween 2013 and 2020. We calculated the O-C diagram using a linear ephemerisand verified a clear orbital period variation (OPV) with a cyclic behavior. Weinvestigated if this variation could be explained by the Applegate mechanism,the apsidal motion, or the light travel time (LTT) effect. We found that theApplegate mechanism would hardly explain the OPV with its current theoreticaldescription. We obtained using different approaches that the apsidal motion isa less likely explanation than the LTT effect. We showed that the LTT effectwith one circumbinary body is the most likely cause for the OPV, which wasreinforced by the orbital stability of the third body. The LTT best solutionprovided an orbital period of ~24 yr for the outer body. Under the assumptionof coplanarity between the external body and the inner binary, we obtained aJupiter-like planet around the GK Vir. In this scenario, the planet has one ofthe longest orbital periods, with a full observational baseline, discovered sofar. However, as the observational baseline of GK Vir is smaller than twice theperiod found in the O-C diagram, the LTT solution must be taken as preliminary.

Eclipse timing variation of GK Vir: evidence of a possible Jupiter-like planet in a circumbinary orbit