ABSTRACT We report on the discovery and characterization of three planets orbiting F8 star HD 28109, which sits comfortably in ${TESS}$’s continuous viewing zone. The two outer have periods $\rm 56.0067 \pm 0.0003~d$ 84.2597_{-0.0008}^{+0.0010}~d$, implies a period ratio very close to that first-order 3:2 mean motion resonance, exciting transit timing variations (TTVs) up 60\, min$. These were ...

We present the discovery of an exoplanet transiting TOI-908 (TIC-350153977) using data from TESS sectors 1, 12, 13, 27, 28 and 39. is a T = 10.7 mag G-dwarf ($T_{eff}$ 5626 $\pm$ 61 K) solar-like star with mass 0.950 0.010 $M_{\odot}$ radius 1.028 0.030 $R_{\odot}$. The planet, b, 3.18 0.16 $R_{\oplus}$ planet in day orbit. Radial velocity measurements HARPS reveal b has approximately 16.1 4.1 ...

We present the bright (V$_{mag} = 9.12$), multi-planet system TOI-431, characterised with photometry and radial velocities. estimate stellar rotation period to be $30.5 \pm 0.7$ days using archival TOI-431b is a super-Earth of 0.49 days, radius 1.28 $\pm$ 0.04 R$_{\oplus}$, mass $3.07 0.35$ M$_{\oplus}$, density $8.0 1.0$ g cm$^{-3}$; TOI-431d sub-Neptune 12.46 $3.29 0.09$ $9.90^{+1.53}_{-1.49}...

Abstract For an arbitrary field of characteristic different from 2 and 3, we construct versal families elliptic curves whose 3-torsion is either rational or isomorphic to as a Galois module. Bibliography: 10 titles.

We report the discovery and characterisation of a pair sub-Neptunes transiting bright K-dwarf TOI-1064 (TIC 79748331), initially detected in TESS photometry. To characterise system, we performed retrieved CHEOPS, TESS, ground-based photometry, HARPS high-resolution spectroscopy, Gemini speckle imaging. host star determine $T_{\rm eff, \star}=4734\pm67$ K, $R_{\star}=0.726\pm0.007$ $R_{\odot}$, ...

Abstract We study the classical Hermite–Hadamard inequality in matrix setting. This leads to a number of interesting inequalities such as Schatten p -norm estimates $$ \begin{align*}\left(\|A^q\|_p^p + \|B^q\|_p^p\right)^{1/p} \le \|(xA+(1-x)B)^q\|_p+ \|((1-x)A+xB)^q\|_p, \end{align*} for all positive (semidefinite) $n\times n$ matrices $A,B$ and $0<q,x<1$ . A related decomposition, with ...

We report the discovery of KMT-2020-BLG-0414Lb, with a planet-to-host mass ratio $q_2 = 0.9$--$1.2 \times 10^{-5} 3$--$4~q_{\oplus}$ at $1\sigma$, which is lowest mass-ratio microlensing planet to date. Together two other recent discoveries ($4 \lesssim q/q_\oplus 6$), it fills out previous empty sector bottom triangular $(\log s, \log q)$ diagram, where $s$ planet-host separation in units angu...

In the core accretion model, planetesimals grow by mutual collisions and engulfing millimeter-to-centimeter particles, i.e., pebbles. Pebble can significantly increase efficiency help explain presence of planets on wide orbits. However, pebble supply is typically parameterized as a coherent mass flux, sometimes being constant in space time. Here we solve dust advection diffusion within viciousl...