Studying the Properties of Long-period Light Variation about Blazar 3C 454.3 with the Methods for Lomb-Scargle Periodogram

In this paper, in order to study the feature of optical and infrared radiation of the Blazar 3C 454.3 (z=0.589), data are collected from SMARTS dataset and other literature, involving optical bands B, V, R and infrared bands J, K. The data covers the decade from June 2008 to July 2017, including 891 groups in B-band, 855 groups in V-band, 877 groups in R-band, 860 groups in J-band, and 751 groups in K-band, with 4234 points in total. Using the observed data, we employ LombScargle Periodogram (LSP) and the Weighted Wavelet Z-Transform (WWZ) method to study the possible periods in each band. The results show that:(1) There is a period of 454 days in both optical and infrared bands of 3C 454.3; (2) Using a period of 454 days, we obtain the mass of black hole of 3C 454.3 approximately to be:M≈0.24×10⁶M_⊙ and the radius of radiation region:R≈3.68×10⁸ km. (3) Through these analyses, the blazar 3C 454.3 would burst out again around June 2021.