Variable red giants exploration with MASTER robotic net: main algorithms and study of three Mira-type targets

We are discussing the capabilities of MASTER network of robotic telescopes to study variable red giant stars. We report the discovery and present archival light curves for three optical transients, connected with long period variable red giants, based on MASTER Robotic Net all-sky survey observations and archival MASTER light curves at Lomonosov database storage. We demonstrate transient detection frames and light curves for three Mira-type variables: MASTER OT \({J083717.54-573411.1}\), MASTER OT \({J190436.33+192828.7}\) and MASTER OT \({J07010810-6818548}\). Spectroscopically validated carbon star MASTER OT \({J07010810-6818548}\) shows mean magnitude growth but constant pulsation period which may indicate the presence of a long secondary period. As the result of MASTER wide-field images analysis at Lomonosov supercomputer data storage we present the 8-years historical light curves for all three objects with period calculations for all three Mira-type variables. We estimated fundamental astrophysical parameters for all three Mira-type variables: luminosities, radii, and zero age main sequence (ZAMS) masses.