The orbital parameters of the binary BLAP HD133729 : advantages of the frequency modulation method

Abstract

We derive all the orbital parameters of the blue large-amplitude pulsator (BLAP) in the binary system HD133729 by exploiting the frequency modulation (FM) method, which is based on the analytical relations between the orbital parameters and a multiplet separated by the orbital frequency in the frequency spectrum of the light curve. Because the FM method uses the entire data through the Fourier transform, it is the most effective use of high-precision photometry data, taken over a long timespan by the TESS space mission, for determining orbital parameters.