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Eclipse, transit and occultation geometry of planetary systems at exo-syzygy

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Veras, Dimitri and Breedt, Elmé (2017) Eclipse, transit and occultation geometry of planetary systems at exo-syzygy. Monthly Notices of the Royal Astronomical Society, 468 (3). pp. 2672-2683.

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Official URL: https://doi.org/10.1093/mnras/stx614

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Abstract

Although conjunctions and oppositions frequently occur in planetary systems, eclipserelated phenomena are usually described from an Earth-centric perspective. Space missions to different parts of the Solar system, as well as the mounting number of known exo-planets in habitable zones and the possibility of sending featherweight robot
spacecraft to them, prompt broader considerations. Here, we derive the geometry of eclipses, transits and occultations from a primarily exo-Earth viewpoint, and apply the formulation to the Solar system and three types of three-body extrasolar planetary systems: with 1 star and 2 planets (Case I), with 2 stars and 1 planet (Case II), and
with 1 planet, 1 star and 1 moon (Case III). We derive the general conditions for total, partial and annular eclipses to occur at exo-syzygy, and implement them in each case in concert with stability criteria. We then apply the formalism to the TRAPPIST-1, Kepler-444 and Kepler-77 systems – the first of which contains multiple potentially
habitable planets – and provide reference tables of both Solar system and TRAPPIST- 1 syzygy properties. We conclude by detailing a basic algebraic algorithm which can be used to quickly characterize eclipse properties in any three-body system.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Journal or Publication Title: Monthly Notices of the Royal Astronomical Society
Publisher: Oxford University Press
ISSN: 0035-8711
Official Date: 1 July 2017
Dates:
DateEvent
1 July 2017Published
14 March 2017Available
9 March 2017Accepted
Volume: 468
Number: 3
Page Range: pp. 2672-2683
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: European Research Council (ERC)
Grant number: 320964

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