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Physics Of Eclipsing Binaries. II. Towards the Increased Model Fidelity

Published 26 Sep 2016 in astro-ph.SR | (1609.08135v2)

Abstract: The precision of photometric and spectroscopic observations has been systematically improved in the last decade, mostly thanks to space-borne photometric missions and ground-based spectrographs dedicated to finding exoplanets. The field of eclipsing binary stars strongly benefited from this development. Eclipsing binaries serve as critical tools for determining fundamental stellar properties (masses, radii, temperatures and luminosities), yet the models are not capable of reproducing observed data well either because of the missing physics or because of insufficient precision. This led to a predicament where radiative and dynamical effects, insofar buried in noise, started showing up routinely in the data, but were not accounted for in the models. PHOEBE (PHysics Of Eclipsing BinariEs; http://phoebe-project.org) is an open source modeling code for computing theoretical light and radial velocity curves that addresses both problems by incorporating missing physics and by increasing the computational fidelity. In particular, we discuss triangulation as a superior surface discretization algorithm, meshing of rotating single stars, light time travel effect, advanced phase computation, volume conservation in eccentric orbits, and improved computation of local intensity across the stellar surfaces that includes photon-weighted mode, enhanced limb darkening treatment, better reflection treatment and Doppler boosting. Here we present the concepts on which PHOEBE is built on and proofs of concept that demonstrate the increased model fidelity.

Citations (161)

Summary

Insights into the Physics of Eclipsing Binaries and Enhanced Model Fidelity

This paper, titled "Physics Of Eclipsing Binaries. II. Towards the Increased Model Fidelity," explores the advancements in the modeling of eclipsing binary star systems. Eclipsing binaries, which are systems in which two stars orbit each other in such a way that one star periodically passes in front of the other, serve as pivotal tools in astrophysics for determining fundamental stellar parameters. Accurate modeling of these systems allows researchers to infer masses, radii, temperatures, and luminosities, parameters crucial for testing and refining stellar evolution theories.

In recent years, significant improvements in photometric and spectroscopic observational technologies, including space-borne missions such as Kepler and ground-based instruments, have provided unprecedented precision in data collection. This precision highlights deficiencies in existing models, necessitating a redevelopment to include subtler physical effects previously obscured by noise.

The authors present PHOEBE (PHysics Of Eclipsing BinariEs), an open-source modeling software designed to compute theoretical light and radial velocity curves. PHOEBE addresses the inadequacies of prior models by integrating crucial astrophysical phenomena and enhancing computational fidelity. Specific advancements mentioned include superior surface discretization algorithms utilizing triangulation, meshing of rotating stars, light travel time effects, phase computation, and volume conservation principles in eccentric orbits. These improvements ensure that local intensity calculations across stellar surfaces incorporate photon-weighted modes, enhanced limb darkening, reflection treatments, and Doppler boosting effects.

Strong numerical claims within the paper underlie the importance of these enhancements. The paper discusses new triangulation algorithms that significantly reduce systematics in computed stellar flux. Mesh offsets that ensure consistent volume conservation within eccentric orbits prevent non-physical compression and expansion of stellar bodies, which would otherwise lead to rapid orbital circularization contrary to observational evidence. The Lambertian model for reflection marks a departure from older methodologies, offering a conceptually more accurate assessment of irradiance and radiosity within binary systems.

The implications of these advancements are manifold. Practically, they provide astronomers with more accurate tools for analyzing vast amounts of high-precision data from current and future surveys, enabling better constraints on stellar models and contributing to our understanding of stellar and planetary system formation. Theoretically, the enhanced fidelity models pave the way for exploring previously unobservable effects inherent in high-resolution data, such as those found in the micromagnitude scale of photometric measurements.

As future developments in AI and computational capabilities unfold, PHOEBE is poised to become integral to astrophysical research, facilitating automated analysis of extensive datasets and enabling the discovery of new systems rapidly. Looking forward, further expansion of PHOEBE might incorporate misaligned binaries, N-body simulations for complex systems, and more intricate circumbinary and planetary effects.

In summary, this paper provides significant contributions to the field of astrophysics by enhancing the fidelity and breadth of eclipsing binary models, making profound impacts both in terms of practical applications and theoretical advancements. It lays a robust foundation for continued research and development, promising to excel in the rich domain of stellar astrophysics.

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