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Recent observations of Kepler multi-planet systems have revealed a number of systems with planets very close to second-order mean motion resonances (MMRs, with period ratio $1:3$, $3:5$, etc.) We present an analytic study of resonance…

地球与行星天体物理 · 物理学 2021-11-03 Wenrui Xu , Dong Lai

The ultracool M-dwarf star TRAPPIST-1 is surrounded by seven planets configured in a resonant chain. Transit-timing variations have shown that the planets are caught in multiple three-body resonances and that their orbits are slightly…

地球与行星天体物理 · 物理学 2022-07-20 R. Brasser , G. Pichierri , V. Dobos , A. C. Barr

Discoveries from the prime Kepler mission demonstrated that small planets (< 3 Earth-radii) are common outcomes of planet formation. While Kepler detected many such planets, all but a handful orbit faint, distant stars and are not amenable…

We derive the transit timing variations (TTVs) of two planets near a second order mean motion resonance on nearly circular orbits. We show that the TTVs of each planet are given by sinusoids with a frequency of $j n_2-(j-2)n_1$, where $j…

地球与行星天体物理 · 物理学 2016-05-02 Katherine M. Deck , Eric Agol

A number of Kepler planet pairs lie just wide of first-order mean motion resonances (MMRs). Tides have been frequently proposed to explain these pileups, but it is still an ongoing discussion. We contribute to this discussion by calculating…

地球与行星天体物理 · 物理学 2015-09-30 Ari Silburt , Hanno Rein

The recently discovered planetary system HD45364 which consists of a Jupiter and Saturn mass planet is very likely in a 3:2 mean motion resonance. The standard scenario to form planetary commensurabilities is convergent migration of two…

地球与行星天体物理 · 物理学 2010-01-29 Hanno Rein , John C. B. Papaloizou , Wilhelm Kley

We extract Transit Timing Variation (TTV) signals for 12 pairs of transiting planet candidates that are near first-order Mean Motion Resonances (MMR), using publicly available Kepler light curves (Q0-Q14). These pairs show significant…

地球与行星天体物理 · 物理学 2015-06-11 Ji-Wei Xie

Assuming that giant planets are formed in thin protoplanetary discs, a '3D' system can form, provided that the mutual inclination is excited by some dynamical mechanism. Resonant interactions and close planetary encounters are thought to be…

地球与行星天体物理 · 物理学 2015-06-04 A. -S. Libert , K. Tsiganis

Two planets with orbital period ratio approximately 10:1 have been discovered around the star HD 83443. The inner and more massive planet, HD 83443b, has the smallest semi-major axis among all currently known exoplanets. Unlike other short…

天体物理学 · 物理学 2009-11-07 Yanqin Wu , Peter Goldreich

Although resonant planets have orbital periods near commensurability, resonance is also dictated by other factors, such as the planets' eccentricities and masses, and therefore must be confirmed through a study of the system's dynamics.…

地球与行星天体物理 · 物理学 2023-07-19 Tyler Quinn , Mariah MacDonald

We present a model to study secularly and tidally evolving three-body systems composed by two low-mass planets orbiting a star, in the case where the bodies rotation axes are always perpendicular to the orbital plane. The tidal theory…

地球与行星天体物理 · 物理学 2020-05-22 Gabriel O. Gomes , Sylvio Ferraz-Mello

Mean motion resonances (MMR) are a frequent phenomenon among extrasolar planetary systems. Current observations indicate that many systems have planets that are close to or inside the 2:1 MMR, when the orbital period of one of the planets…

地球与行星天体物理 · 物理学 2023-05-24 Cristian Giuppone , Adrián Rodríguez , Viviam Alencastro , Fernando Roig , Tabaré Gallardo

We investigate the origins of Kepler-419, a peculiar system hosting two nearly coplanar and highly eccentric gas giants with apsidal orientations librating around anti-alignment, and use this system to place constraints on the properties of…

地球与行星天体物理 · 物理学 2020-10-14 Mohamad Ali-Dib , Cristobal Petrovich

In order to study the origin of the architectures of low mass planetary systems, we perform numerical surveys of the evolution of pairs of coplanar planets in the mass range $(1-4)\ \rmn{M}_{\oplus}.$ These evolve for up to $2\times10^7…

地球与行星天体物理 · 物理学 2015-04-21 M. Xiang-Gruess , J. C. B. Papaloizou

Multiple planets undergoing disk migration may be captured into a chain of mean-motion resonances with the innermost planet parked near the disk's inner edge. Subsequent dynamical evolution may disrupt these resonances, leading to the…

We investigate orbital resonances expected to arise when a system of two planets, with masses in the range 1-4 Earth masses, undergoes convergent migration while embedded in a section of gaseous disc where the flow is laminar. We consider…

天体物理学 · 物理学 2009-11-13 J. C. B. Papaloizou , E. Szuszkiewicz

We study systems of close orbiting planets evolving under the influence of tidal circularization. It is supposed that a commensurability forms through the action of disk induced migration and orbital circularization. After the system enters…

地球与行星天体物理 · 物理学 2015-05-28 J. C. B. Papaloizou

Mean-motion resonances (MMRs) form through convergent disc migration of planet pairs, which may be disrupted by dynamical instabilities after protoplanetary disc (PPD) dispersal. This scenario is supported by recent analysis of TESS data…

地球与行星天体物理 · 物理学 2025-05-21 Yi-Xian Chen , Yinhao Wu , Ya-Ping Li , Douglas N. C. Lin , Richard Alexander , Sergei Nayakshin , Fei Dai

We report in this paper the numerical simulations of the capture into the 3:1 mean-motion resonance between the planet b and c in the 55 Cancri system. The results show that this resonance can be obtained by a differential planetary…

天体物理学 · 物理学 2009-11-13 Li-Yong Zhou , Sylvio Ferraz-Mello , Yi-Sui Sun