A very large lobe overflow event is suggested to explain the 0 m . 4 brightening observed in the K band at pericenter passage of the star known as S2, which orbits the Galaxyʼs supermassive black hole (SMBH). Known observed properties of S2 that contribute to lobe filling are (1) the enormous mass ratio, M M SMBH S2 , (2) S2ʼs fast rotation, and (3) S2ʼs large orbital eccentricity. Published estimates have given limiting lobe sizes of order 100-300 R ⊙ but, with S2ʼs fast rotation taken into account, the computed lobe size is much smaller, being compatible with either a main sequence OB star or a stripped evolved star. An important evolutionary consideration that predicts very large pericenter overflows is envelope expansion following mass loss that is characteristic of highly evolved stars. Material removed by lobe overflow at pericenter is replenished by envelope expansion as an evolved star awaits its next pericenter passage. An observational signature of lobe overflow for upcoming pericenter passages would be appearance of emission lines as the ejected gas expands and becomes optically thin. Issues abound regarding the evolutionary states of these stars and how they came to be in the inner Galactic center, e.g., Davies & King (2005), Zhang et al. (2013), Gillessen et al. (2009), Genzel et al. (2010. Stars arriving on nearly parabolic or even hyperbolic orbits could suffer major stripping on initial pericenter passage (Davies & King 2005), with the lost material carrying away enough orbital energy to leave the remnant in an elliptical orbit, filling its limiting lobe at pericenter. Alternatively, a star that has been trapped into a tight orbit while well detached from its lobe could later undergo evolutionary expansion and attain lobe filling. Perhaps a lost binary companion may carry off the requisite orbital energy at first encounter with the SMBH and leave the remaining star bound.Eisenhauer et al. (2005) found most of the brighter inner orbiters to be B0-B9 main sequence stars, with S2 in the range O8-B0, and with rotation velocities typical of B stars in the Galactic disk. Davies & King (2005) argued that they are actually tidally stripped remnants of AGB stars that now superficially resemble main sequence stars and estimated S2ʼs mass at below a solar mass, specifically about 0.8 M ⊙ . All in all, mass estimates for S2 that have been published or correspond to observed (main sequence) spectral types range from 0.8 to more than 20 M ⊙ . Accordingly, we simply adopt 10 M ⊙ for exploratory lobe size computations.
BRIGHTENING OF STAR S2 DUE TO LOBE OVERFLOWS2 has continued as the most thoroughly discussed SMBH orbiter, largely due to its having been observed over more than a full orbit, and having brightened by about 0 . 40 m in K band, coincident with pericenter passage (Gillessen et al. 2009). Gillessen, et al. offered seven ideas for explaining the brightening, however they then ruled out four of the ideas and argued against likelihood of the other three. Consequences of lobe overflow-a very comm...