Frequency of Second Planet Occurrence in Mean Motion Resonances with Hot Jupiters

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Measuring transit timings (TTs) of hot Jupiters provides us information about the existence or absence of additional planets around these migrated giant planets. TTs of a hot Jupiter can significantly vary from a linear ephemeris when additional planets exist near mean motion resonances (MMRs) with the hot Jupiter. The existence of such planets may be a consequence of their convergent migration with the hot Jupiter.
To date, TTs of about 15 transiting hot Jupiters have been measured to see whether they show variations or not. None show conclusive variations due to additional planets, although some preliminary indications of variations have been reported. Using the published TT data, we calculated the efficiency with which we could detect a second planet in MMRs for each hot Jupiter, as a function of the second planet's mass. We then converted these results to the frequency of occurrence of additional planets in MMRs with hot Jupiters. As a result, we found that second planets in MMRs with hot Jupiters are, even if some exist, not common. We discuss the implications of this result on theories of the migration of hot Jupiters.

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