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Open AccessJournal ArticleDOI

Properties of analytic transit light-curve models

TLDR
In this paper, a set of analytic formulae is presented with which the partial derivatives of the flux obscuration function can be evaluated under the assumption of quadratic limb darkening.
Abstract
In this paper, a set of analytic formulae is presented with which the partial derivatives of the flux obscuration function can be evaluated – for planetary transits and eclipsing binaries – under the assumption of quadratic limb darkening. The knowledge of these partial derivatives is crucial for many of the data modelling algorithms and estimates of the light-curve variations directly from the changes in the orbital elements. These derivatives can also be utilized to speed up some of the fitting methods. A gain of ∼8 in computing time can be achieved in the implementation of the Levenberg–Marquardt algorithm, relative to using numerical derivatives.

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The Exoplanet Handbook

TL;DR: In this paper, the authors present an overview of the solar system and its evolution, including the formation and evolution of stars, asteroids, and free-floating planets, as well as their internal and external structures.

The Exoplanet Handbook: Formation and evolution

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Journal ArticleDOI

Transit spectrophotometry of the exoplanet HD 189733b I. Searching for water but finding haze with HST NICMOS

TL;DR: In this article, a near-infrared transit photometry of the nearby hot-Jupiter HD 189733b was performed using the NICMOS instrument during five transits, with three transits executed with a narrowband filter at 1.87 μm and two performed with a wideband filter on 1.66 μm.
References
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Journal ArticleDOI

Analytic Lightcurves for Planetary Transit Searches

TL;DR: In this paper, exact analytic formulae for the eclipse of a star described by quadratic or nonlinear limb darkening are presented for the HST observations of HD 209458, showing that the ratio of the planetary to stellar radii is 0.1207+-0.0003.
Journal ArticleDOI

Analytic Light Curves for Planetary Transit Searches

TL;DR: In this paper, the exact analytic formulae for the eclipse of a star described by quadratic or nonlinear limb darkening were presented, and the authors applied these results to the Hubble Space Telescope observations of HD 209458, showing that the ratio of the planetary to stellar radii is 0.1207 ± 0.0003.
Journal ArticleDOI

Detection of Planetary Transits Across a Sun-like Star.

TL;DR: High-precision, high-cadence photometric measurements of the star HD 209458 are reported, which is known from radial velocity measurements to have a planetary-mass companion in a close orbit and the detailed shape of the transit curve due to both the limb darkening of thestar and the finite size of the planet is clearly evident.
Journal ArticleDOI

The use of transit timing to detect terrestrial-mass extrasolar planets.

TL;DR: This work shows that timing measurements between successive transits will allow for the detection of additional planets in the system (not necessarily transiting) by their gravitational interaction with the transiting planet.
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