Oxygen in the Universe G. Stasi´nska et al. EAS Publications Series, 54 (2012) 65–186
Chapter 2 A PANORAMA OF OXYGEN IN THE UNIVERSE
2.1 The Sun and the solar system
2.1.1 Constraints from solar interior modelling and helioseismology The Sun, as the closest star, has long been observed in details with extremely high precision and increasing accuracy. This has provided very strong constraints and insights both for astrophysics and for the physics of matter in conditions hard or even impossible to reach in terrestrial laboratories. In particular, the Sun is a benchmark for stellar structure and evolution theory. The solar mass and chem- ical composition are input parameters in solar models which at solar age should satisfy all available observational constraints. Any difference between a model and observation has to be understood either as due to an improper description of the physical processes governing the Sun or to erroneous measurements or analysis of observational data. The validation of the theoretical model of the Sun is a cru- cial and necessary step towards an accurate description of the internal structure and evolution of other stars with important returns for the understanding of the history and evolution of galaxies and cosmology.
2.1.1.1 Constructing a solar evolution sequence and the present solar interior model The solution of the stellar internal structure equations, consisting of the equations of conservation of mass, momentum and energy and of the equation of energy transport, yields as a result the interior structure of a star once its mass and chem- ical composition have been fixed. These equations are usually written under the assumptions of spherical symmetry and hydrostatic equilibrium, and very often rotation and magnetic fields are neglected. The system of equations is comple- mented by boundary conditions in the stellar centre and at the surface where they are generally extracted from an atmosphere model calculated independently. The solutions of the equations provide the internal distribution of the mass, pressure, luminosity and temperature as a function of the radius, i.e. the distance to the stellar centre. The evolution of the star is drawn starting from an initial interior model − either on the pre-main sequence or on the zero age main sequence − by