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Using the high-resolution near-infrared adaptive optics imaging from the NaCo instrument at the Very Large Telescope, we report the discovery of a new binary companion to the M-dwarf LP 1033-31 and also confirm the binarity of LP 877-72. We have characterised both the stellar systems and estimated the properties of their individual components. We have found that LP 1033-31 AB with the spectral type of M4.5+M4.5 has a projected separation of 6.7$pm$1.3 AU. Whereas with the spectral type of M1+M4, the projected separation of LP 877-72 AB is estimated to be 45.8$pm$0.3 AU. The binary companions of LP 1033-31 AB are found to have similar masses, radii, effective temperatures, and log $g$ with the estimated values of 0.20$pm$0.04 $rm{M}_{odot}$, 0.22$pm$0.03 $rm{R}_{odot}$, 3200 K, 5.06$pm$0.04. However, the primary of LP 877-72 AB is found to be twice as massive as the secondary with the derived mass of 0.520$pm$0.006 $rm{M}_{odot}$. The radius and log $g$ for the primary of LP 877-72 AB are found to be 1.8 and 0.95 times that of the secondary component with the estimated values of 0.492$pm$0.011 $rm{R}_{odot}$ and 4.768$pm$0.005, respectively. With an effective temperature of 3750$pm$15 K, the primary of LP 877-72 AB is also estimated to be $sim$400 K hotter than the secondary component. We have also estimated the orbital period of LP 1033-31 and LP 877-72 to be $sim$28 and $sim$349 yr, respectively. The binding energies for both systems are found to be $gt$10$^{43}$ erg, which signifies both systems are stable.
We present preliminary results of our spectroscopic campaign of a group of intermediate mass interacting binaries dubbed Double Periodic Variables (DPVs), characterized by orbital light curves and additional long photometric cycles recurring roughly
LP 40-365 (aka GD 492) is a nearby low-luminosity hyper-runaway star with an extremely unusual atmospheric composition, which has been proposed as the remnant of a white dwarf that survived a subluminous Type Ia supernova (SN Ia) in a single-degenera
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In this paper we investigate the structure of the fundamental polytope used in the Linear Programming decoding introduced by Feldman, Karger and Wainwright. We begin by showing that for expander codes, every fractional pseudocodeword always has at le
In 1942 Haskell B.Curry presented what is now called Curry paradox which can be found in a logic independently of its stand on negation.In recent years there has been a revitalised interest in non-classical solutions to the semantic paradoxes. In thi