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Many studies on one-on-one pursuit-evasion problems have shown that formulas about the pursuer's trajectory can be solved by supposing three conditions. First, the evader follows specific figures. Second, the pursuer's velocity vector…

Optimization and Control · Mathematics 2024-09-12 Sota Yoshihara

Among the group of extrasolar planets, transiting planets provide a great opportunity to obtain direct measurements for the basic physical properties, such as mass and radius of these objects. These planets are therefore highly important in…

Instrumentation and Methods for Astrophysics · Physics 2009-06-19 András Pál

We report a comprehensive search for hierarchical triple stellar system candidates amongst eclipsing binaries (EB) observed by the CoRoT spacecraft. We calculate and check eclipse timing variation (ETV) diagrams for almost 1500 EBs in an…

Solar and Stellar Astrophysics · Physics 2017-08-16 T. Hajdu , T. Borkovits , E. Forgács-Dajka , J. Sztakovics , G. Marschalkó , J. M. Benkő , P. Klagyivik , M. J. Sallai

This tutorial is an introduction to techniques used to characterize the atmospheres of transiting exoplanets. We intend it to be a useful guide for the undergraduate, graduate student, or postdoctoral scholar who wants to begin research in…

Earth and Planetary Astrophysics · Physics 2018-12-19 Drake Deming , Dana Louie , Holly Sheets

The discovery of circumbinary planets (CBPs) has advanced our understanding of planet formation and dynamical evolution in complex environments. However, the population of such planets remains small, leading their underlying physical…

Earth and Planetary Astrophysics · Physics 2026-04-13 Benjamin D. R. Davies , David J. A. Brown , Samuel Gill , Jenni R. French

The lifetime of a satellite is limited, and its calibration may be not stable, it is necessary to continue ground-based measures of the solar diameter with methods less affected by atmospheric turbulence, and optical aberrations: planetary…

Instrumentation and Methods for Astrophysics · Physics 2013-01-21 Costantino Sigismondi

This paper considers whether the population of known transiting exoplanets provides evidence for additional outer planets on inclined orbits, due to the perturbing effect of such planets on the orbits of inner planets. As such, we develop a…

Earth and Planetary Astrophysics · Physics 2017-05-31 Matthew J. Read , Mark C. Wyatt , Amaury H. M. J. Triaud

We present a detection criterion for exo-planets to be used with the space mission COROT. This criterion is based on the transit method, which suggests the observation of star dimming caused by partial occulations by planetary companions.…

Astrophysics · Physics 2007-05-23 Pascal Borde' , Daniel Rouan , Alain Leger

Mapping exoplanets across phases and during secondary eclipse is a powerful technique for characterizing Hot Jupiters in emission. Since these planets are expected to rotate about axes normal to their orbital planes, with rotation periods…

Earth and Planetary Astrophysics · Physics 2023-09-20 Arthur Adams , Emily Rauscher

Transits of bright stars offer a unique opportunity to study detailed properties of extrasolar planets that cannot be determined through radial-velocity observations. We propose a new technique to find such systems using all-sky…

Astrophysics · Physics 2007-05-23 Joshua Pepper , Andrew Gould , D. L. Depoy

We report eclipse timing variation analyses of 26 compact hierarchical triple stars comprised of an eccentric eclipsing ('inner') binary and a relatively close tertiary component found in the {\em Kepler} field. We simultaneously fit the…

Solar and Stellar Astrophysics · Physics 2015-06-23 Tamas Borkovits , Saul Rappaport , Tamas Hajdu , Janos Sztakovics

The Kepler Mission has detected dozens of compact planetary systems with more than four transiting planets. This sample provides a collection of close-packed planetary systems with relatively little spread in the inclination angles of the…

Earth and Planetary Astrophysics · Physics 2015-12-02 Juliette C. Becker , Fred C. Adams

Knowledge of an exoplanet's oblateness and obliquity would give clues about its formation and internal structure. In principle, a light curve of a transiting planet bears information about the planet's shape, but previous work has shown…

Earth and Planetary Astrophysics · Physics 2015-05-18 Joshua A. Carter , Joshua N. Winn

Most detected transiting planets have orbits which would fit within the one of Mercury, exposing them to intense stellar irradiation and interactions that significantly alter their properties. In contrast, colder planets with longer orbital…

Earth and Planetary Astrophysics · Physics 2026-04-13 Solène Ulmer-Moll , Babatunde Akinsanmi , Simon Müller

Observing the Rossiter-McLaughlin effect during a planetary transit allows the determination of the angle $\lambda$ between the sky projections of the star's spin axis and the planet's orbital axis. Such observations have revealed a large…

Earth and Planetary Astrophysics · Physics 2021-10-04 Simon H. Albrecht , Marcus L. Marcussen , Joshua N. Winn , Rebekah I. Dawson , Emil Knudstrup

The eclipsing binaries are still important objects for our understanding of the universe. Especially these ones located within the more complex multiple systems can help us solving the problem of their origin and subsequent evolution of…

Solar and Stellar Astrophysics · Physics 2019-08-15 P. Zasche , R. Uhlar , P. Svoboda , J. Jurysek , D. Korcakova , M. Wolf , M. Slechta , L. Kotkova

Eclipsing binaries are vital for directly determining stellar parameters without reliance on models or scaling relations. Spectroscopically derived parameters of detached and semi-detached binaries allow us to determine component masses…

Solar and Stellar Astrophysics · Physics 2017-11-15 Rachel A. Matson , Douglas R. Gies , Zhao Guo , Stephen J. Williams

The transit method, during which a planet's presence is inferred by measuring the reduction in flux as it passes in front of its parent star, is a highly successful exoplanet detection and characterization technique. During transit, the…

Instrumentation and Methods for Astrophysics · Physics 2026-01-13 Joanna K. Barstow , Hannah R. Wakeford , Sarah L. Casewell , Vatsal Panwar

We propose that the presence of additional planets in extrasolar planetary systems can be detected by long-term transit timing studies. If a transiting planet is on an eccentric orbit then the presence of another planet causes a secular…

Astrophysics · Physics 2008-11-26 Jeremy S. Heyl , Brett J. Gladman

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…

Earth and Planetary Astrophysics · Physics 2018-01-31 Moiya A. S. McTier , David M. Kipping
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