Theoretical tidal evolution constants for stellar models from the pre-main sequence to the white dwarf stage Apsidal motion constants, moment of inertia, and gravitational potential energy

Abstract

One of the most reliable means of studying the stellar interior is through the apsidal motion in double line eclipsing binary systems since these systems present errors in masses, radii, and effective temperatures of only a few per cent. On the other hand, the theoretical values of the apsidal motion to be compared with the observed values depend on the stellar masses of the components and more strongly on their radii (fifth power).The main objective of this work is to make available grids of evolutionary stellar models that, in addition to the traditional parameters (e.g. age, mass, log g, T${}_{\mathrm{eff}}$), also contain the necessary parameters for the theoretical study of apsidal motion and tidal evolution. This information is useful for the study of the apsidal motion in eclipsing binaries and their tidal evolution, and can also be used for the same purpose in exoplanetary systems. All models were computed using the MESA package. We consider core overshooting for models with masses $\ge$ 1.2 M${}_{\odot }$. For the amount of core overshooting we adopted a recent relationship for mass $\times$ core overshooting. We adopted for the mixing-length parameter ${\alpha }_{\mathrm{MLT}}$ the value 1.84 (the solar-calibrated value). Mass loss was taken into account in two evolutionary phases. The models were followed from the pre-main sequence phase to the white dwarf (WD) stage.The evolutionary models containing age,luminosity, log g, and Teff, as well as the first three harmonics of the internal stellar structure (k${}_2$, k${}_3$, and k${}_4$), the radius of gyration $\beta$ y, and the dimensionless variable $\alpha$, related to gravitational potential energy, are presented in 69 tables covering three chemical compositions: [Fe/H] = -0.50, 0.00, and 0.50. Additional models with different input physics are available.

References in corpus (18)

• Planck 2015 results. XIII. Cosmological parameters
• The chemical composition of the Sun
• Modules for Experiments in Stellar Astrophysics (MESA)
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• The Stagger-grid: A grid of 3D stellar atmosphere models - III. The relation to mixing-length convection theory
• Misaligned spin and orbital axes cause the anomalous precession of DI Herculis
• The dependence of convective core overshooting on stellar mass: reality check, and additional evidence
• Orbital Decay in a 20 Minute Orbital Period Detached Binary with a Hydrogen Poor Low Mass White Dwarf
• Updating the theoretical tidal evolution constants: Apsidal motion and the moment of inertia
• Analysis of apsidal motion in eclipsing binaries using TESS data II. A test of internal stellar structure}
• DI Her as a test of internal stellar structure and General Relativity: New apsidal motion rate and evolutionary models
• V994 Her: A Unique Triply Eclipsing Sextuple Star System
• Apsidal Motion and Absolute Parameters of 21 Early-type Small Magellanic Cloud Eccentric Eclipsing Binaries
• First apsidal motion and light curve analysis of 162 eccentric eclipsing binaries from LMC
• DI Herculis Revisited: Starspots, Gravity Darkening, and 3-D Obliquities
• The internal structure of neutron stars and white dwarfs, and the Jacobi virial equation. II
• Rotationally and tidally distorted compact stars A theoretical approach to the gravity-darkening exponents for white dwarfs

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