Photometric Observations And Orbital Stability Study Of The Transiting Exoplanetary System HAT-P-37

An abundant sample of exoplanets will help us understand the formation and evolution of exoplanetary systems further.In addition,it is helpful to study the formation and evolution of solar system by referring to the study of exoplanetary systems.There are many ways to analyze the exoplanets.Photometric observation of exoplanetary systems is one of the most important methods to determine the properties of exoplanets.The continuous photometry with high-precision is vital to obtain more comprehensive information.The continuous photometry observations can also be used to detect the Transit Timing Variation(TTV),so as to explore whether there are other undiscovered planets in the system.We performed follow-up photometric observations on exoplanetary system HAT-P-37 from February 2011 to September 2019 used Weihai Observatory 1.0-m telescope of Shandong University(WHOT)in this paper.A total of nine transit light curves(including V band and R band)were presented in this work.Based on the data of new light curves and published data from the literature,the light curves were analyzed and the physical and orbital parameters of HAT-P-37 were improved.Besides,we also updated the linear ephemeris,resulting in a new mid-transit time and a new period,[Tc[0]=2456478.57916 ± 0.00077[BJDTDB],P=2.7974415 ± 0.0000025 days.Moreover,the root mean square of Transit Timing Variations(TTVs)was 57s,and there was no significant TTV signal.To further confirm this view,we employed the generalized Lomb-Scargle(GLS)algorithm to conducted periodic analysis and found that there was no periodic signal in the TTVs of this system.Based on the unobtrusive TTV signal,we performed a dynamical analysis and obtained upper limits on the masses of the potential perturbers at the orbital resonance between the transiting and perturbing planets.