Exoplanets transmission spectroscopy: accounting for eccentricity and longitude of periastron. Superwinds in the upper atmosphere of HD209458b?
M. Montalto, N. C. Santos, I. Boisse, G. Bou\'e, P. Figueira, S. Sousa

TL;DR
This paper emphasizes the importance of accounting for orbital eccentricity and longitude of periastron in transmission spectroscopy of exoplanets, demonstrating that small eccentricities can significantly affect radial velocity measurements and interpretations.
Contribution
It introduces a method to calculate radial velocity offsets in eccentric orbits and proposes reinterpreting observed blueshifts in HD209458b as evidence of orbital eccentricity.
Findings
Eccentricity of e=0.01 can cause km/s level radial velocity offsets.
Reinterpretation of HD209458b's blueshift suggests non-circular orbit.
Transmission spectroscopy can refine orbital parameters and atmospheric properties.
Abstract
Context: Several studies have so far placed useful constraints on planetary atmospheric properties using transmission spectrsocopy, and in the case of HD209458b even the radial velocity of the planet during the transit event has been reconstructed opening a new range of possibilities. AIMS. In this contribution we highlight the importance to account for the orbital eccentricity and longitude of periastron of the planetary orbit to accurately interpret the measured planetary radial velocity during the transit. Methods: We calculate the radial velocity of a transiting planet in an eccentric orbit. Given the larger orbital speed of planets with respect to their stellar companions even small eccentricities can result in detectable blue or redshift radial velocity offsets during the transit with respect to the systemic velocity, the exact value depending also on the longitude of the…
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