Imaging & Spectroscopy

Saltire — A Model To Measure Dynamical Masses For High-contrast Binaries And Exoplanets With High-resolution Spectroscopy

By Keith Cowing
Status Report
astro-ph.SR
December 4, 2023
Filed under , , , ,
Saltire — A Model To Measure Dynamical Masses For High-contrast Binaries And Exoplanets With High-resolution Spectroscopy
Upper panel; Left: CCF map for Obs1. Dashed lines and labels: Positions of cuts though the data, shown on the right. Right: Cuts through the data, for different semi-amplitudes (a,b,c), and for the rest velocity of maximum CCF contrast (d); Black dots: data for simulated data-set Obs1, Red line: best fitting Saltire model. Green dashed line: mark of the input semi-amplitude of the EBLM companion. Lower panel; Left: Residual CCF map after removing the Saltire model. Dashed lines and labels: Positions of cuts though the residuals, shown on the right. Right: Cuts through the residuals at similar position as above. Error bars represent uncertainties, derived from 2D Saltire fit to the the CCF map. — astro-ph.EP

High-resolution cross-correlation methods are widely used to discover and to characterise atomic and molecular species in exoplanet atmospheres. The characteristic cross-correlation signal is typically represented as a function of the velocity of the system, and the semi-amplitude of the planet’s orbit.

We present Saltire, a fast and simple model that accurately reproduces the shape of such cross-correlation signals, allowing a direct fit to the data by using a minimum set of parameters. We show how to use this model on the detection of atmospheric CO in archival data of the hot Jupiter tau Bootis b, and how Saltire can be used to estimate the semi-amplitude and rest velocity of high brightness-ratio binaries.

By including the shape of the signal, we demonstrate that our model allows to robustly derive the signal position up to 10 times more accurate, compared to conventional methods. Furthermore, we discuss the impact of correlated noise and demonstrate that Saltire is a robust tool for estimating systematic uncertainties on the signal position.

Saltire opens a new door to analyse high signal-to-noise data to accurately study atmospheric dynamics and to measure precise dynamical masses for exoplanets and faint stellar companions. We show, that the phase-resolved shape of the atmospheric CCF signal can accurately be reproduced, allowing studies of phase-dependent signal changes and to disentangle them from noise and data aliases.

Daniel Sebastian, Amaury H.M.J. Triaud, Matteo Brogi

Comments: 16 pages, 12 figures, accepted for publication in MNRAS
Subjects: Earth and Planetary Astrophysics (astro-ph.EP); Solar and Stellar Astrophysics (astro-ph.SR)
Cite as: arXiv:2312.01924 [astro-ph.EP] (or arXiv:2312.01924v1 [astro-ph.EP] for this version)
Submission history
From: Daniel Sebastian
[v1] Mon, 4 Dec 2023 14:31:11 UTC (3,123 KB)
https://arxiv.org/abs/2312.01924
Astrobiology,

Explorers Club Fellow, ex-NASA Space Station Payload manager/space biologist, Away Teams, Journalist, Lapsed climber, Synaesthete, Na’Vi-Jedi-Freman-Buddhist-mix, ASL, Devon Island and Everest Base Camp veteran, (he/him) 🖖🏻