Finding Mountains with Molehills: The Detectability of Exotopography
Moiya A.S. McTier, David M. Kipping

TL;DR
This paper explores the potential for detecting exoplanet topography through transit light curve analysis, proposing a method to identify surface features like mountains and craters using photometric scatter.
Contribution
It introduces a novel approach to quantify exoplanet surface relief by analyzing transit light curve variations caused by planetary rotation and topography.
Findings
Detection of topography is feasible with upcoming telescopes like Colossus or OWL.
Approximately 400 transits could reveal surface features for nearby rocky exoplanets.
The method requires about 20 hours of observation time for ideal cases.
Abstract
Mountain ranges, volcanoes, trenches, and craters are common on rocky bodies throughout the Solar System, and we might we expect the same for rocky exoplanets. With ever larger telescopes under design and a growing need to not just detect planets but also to characterize them, it is timely to consider whether there is any prospect of remotely detecting exoplanet topography in the coming decades. To test this, we devised a novel yet simple approach to detect and quantify topographical features on the surfaces of exoplanets using transit light curves. If a planet rotates as it transits its parent star, its changing silhouette yields a time-varying transit depth, which can be observed as an apparent and anomalous increase in the photometric scatter. Using elevation data for several rocky bodies in our solar system, we quantify each world's surface integrated relief with a "bumpiness"…
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