Properties of analytic transit light-curve models

Research output: Contribution to journalArticle

51 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)281-288
Number of pages8
JournalMonthly Notices of the Royal Astronomical Society
Volume390
Issue number1
DOIs
Publication statusPublished - Oct 2008

Fingerprint

transit
light curve
limb darkening
orbital elements
occultation
limb
estimates
modeling
method
speed

Keywords

  • Binaries: eclipsing
  • Methods: analytical
  • Planetary systems

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Properties of analytic transit light-curve models. / Pál, A.

In: Monthly Notices of the Royal Astronomical Society, Vol. 390, No. 1, 10.2008, p. 281-288.

Research output: Contribution to journalArticle

@article{77f015bca6e44a7aab61177237c5eaf2,
title = "Properties of analytic transit light-curve models",
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.",
keywords = "Binaries: eclipsing, Methods: analytical, Planetary systems",
author = "A. P{\'a}l",
year = "2008",
month = "10",
doi = "10.1111/j.1365-2966.2008.13723.x",
language = "English",
volume = "390",
pages = "281--288",
journal = "Monthly Notices of the Royal Astronomical Society",
issn = "0035-8711",
publisher = "Oxford University Press",
number = "1",

}

TY - JOUR

T1 - Properties of analytic transit light-curve models

AU - Pál, A.

PY - 2008/10

Y1 - 2008/10

N2 - 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.

AB - 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.

KW - Binaries: eclipsing

KW - Methods: analytical

KW - Planetary systems

UR - http://www.scopus.com/inward/record.url?scp=53049093862&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53049093862&partnerID=8YFLogxK

U2 - 10.1111/j.1365-2966.2008.13723.x

DO - 10.1111/j.1365-2966.2008.13723.x

M3 - Article

AN - SCOPUS:53049093862

VL - 390

SP - 281

EP - 288

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 1

ER -