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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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WRAP-eclipse-transit-occultation-geometry-planetary-systems-Veras-2017.pdf - Accepted Version - Requires a PDF viewer. Download (2358Kb) | Preview |
Official URL: https://doi.org/10.1093/mnras/stx614
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: |
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| 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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