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Related papers: Bridges and gaps at low-eccentricity first-order r…

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We investigate the orbital dynamics of four-planet systems consisting of Earth-mass planets on initially-circular, coplanar orbits around a star of one solar mass. In our simulations, the innermost planet's semimajor axis is set at 1 AU,…

Earth and Planetary Astrophysics · Physics 2026-05-06 Bennet Outland , Gretchen Noble , Andrew W. Smith , Jack J. Lissauer

Multi-planetary systems detected by the Kepler mission present an excess of planets close to first-order mean-motion resonances (2:1 and 3:2) but with a period ratio slightly higher than the resonant value. Several mechanisms have been…

Earth and Planetary Astrophysics · Physics 2014-10-22 J. -B. Delisle , J. Laskar

While it has long been known that a large number of short-lived transient spirals can cause stellar migration, here we report that another mechanism is also effective at mixing disks of barred galaxies. The resonance overlap of the bar and…

Astrophysics of Galaxies · Physics 2014-11-20 I. Minchev , B. Famaey

The discovery of planets in close orbits around binary stars raises questions about their formation. It is believed that these planets formed in the outer regions of the disc and then migrated through planet-disc interaction to their…

Earth and Planetary Astrophysics · Physics 2018-08-17 Daniel Thun , Wilhelm Kley

A key feature of close-in, multiple super-Earth (SE) systems is the tendency for adjacent planet pairs to lie just wide of low-order mean-motion resonances (MMR). This period ratio distribution has motivated numerous theoretical studies,…

Earth and Planetary Astrophysics · Physics 2026-04-21 Kangrou Guo , Xiumin Huang , Dong Lai

We investigate the migration of Mars- to super-Earth-sized planets in the vicinity of a pressure bump in a 3D radiative protoplanetary disc while accounting for the effect of accretion heat release. Pressure bumps have often been assumed to…

Earth and Planetary Astrophysics · Physics 2023-07-19 O. Chrenko , R. O. Chametla

A question driving many studies is whether the thousands of exoplanets known today typically formed where we observe them or formed further out in the disk and migrated in. Early discoveries of giant exoplanets orbiting near their host…

Earth and Planetary Astrophysics · Physics 2018-11-07 Mariah G. MacDonald , Rebekah I. Dawson

Early dynamical evolution of close-in planetary systems is shaped by an intricate combination of planetary gravitational interactions, orbital migration, and dissipative effects. While the process of convergent orbital migration is expected…

Earth and Planetary Astrophysics · Physics 2019-05-01 Gabriele Pichierri , Konstantin Batygin , Alessandro Morbidelli

We consider the elliptic three body problem as a perturbation of the circular problem. We show that for sufficiently small eccentricities of the elliptic problem, and for energies sufficiently close to the energy of the libration point L2,…

Dynamical Systems · Mathematics 2015-03-13 Maciej J. Capinski , Piotr Zgliczynski

The differential migration of two planets due to planet-disk interaction can result in capture into the 2:1 eccentricity-type mean-motion resonances. Both the sequence of 2:1 eccentricity resonances that the system is driven through by…

Earth and Planetary Astrophysics · Physics 2015-05-13 Man Hoi Lee , Edward W. Thommes

A migrating planet can capture planetesimals into mean motion resonances. However, resonant trapping can be prevented when the drift or migration rate is sufficiently high. Using a simple Hamiltonian system for first and second order…

Astrophysics · Physics 2009-11-13 Alice C. Quillen

The quest of exo-Earths has become a prominent field. In this work, we study the stability of non-coplanar planetary configurations consisting of an inclined inner terrestrial planet in mean-motion resonance with an outer giant planet. We…

Earth and Planetary Astrophysics · Physics 2018-12-06 K. I. Antoniadou , A. -S. Libert

Resonant planetary migration in protoplanetary discs can lead to an interplay between the resonant interaction of planets and their disc torques called overstability. While theoretical predictions and N-body simulations hinted at its…

We study orbital evolution of multi-planet systems with masses in the terrestrial planet regime induced through tidal interaction with a protoplanetary disk assuming that this is the dominant mechanism for producing orbital migration and…

Solar and Stellar Astrophysics · Physics 2016-05-25 J. C. B. Papaloizou

The emergence of orbital resonances among planets is a natural consequence of the early dynamical evolution of planetary systems. While it is well-established that convergent migration is necessary for mean-motion commensurabilities to…

Earth and Planetary Astrophysics · Physics 2023-04-05 Konstantin Batygin , Antoine C. Petit

The gravitational interaction among bodies orbiting in a spherical potential leads to the rapid relaxation of the orbital planes' distribution, a process called vector resonant relaxation. We examine the statistical equilibrium of this…

Astrophysics of Galaxies · Physics 2018-04-03 Ádám Takács , Bence Kocsis

The observed census of resonant extrasolar planets spans a tantalizing display of orbital architectures, ranging from familiar 2:1 and 3:2 mean-motion commensurabilities to nearly co-orbital configurations characterized by period ratios…

Earth and Planetary Astrophysics · Physics 2026-03-31 Konstantin Batygin , Alessandro Morbidelli

Lunar mean-motion resonances (MMRs) significantly shape cislunar dynamics beyond GEO, forming stable-unstable orbit pairs with corresponding intermingled chaotic and regular regions. The resonance zone is rigorously defined using the…

Earth and Planetary Astrophysics · Physics 2026-02-24 Anjali Rawat , Bhanu Kumar , Aaron J. Rosengren , Shane D. Ross

Mean motion resonances (MMRs) are a generic outcome of convergent migration for bodies embedded in accretion disks around a central mass. Long studied in planetary systems, the same phenomenon should occur for stellar-mass black holes (BHs)…

High Energy Astrophysical Phenomena · Physics 2025-10-16 Marguerite Epstein-Martin , Nicholas Stone , Juliette Becker

We develop a framework based on energy kicks for the evolution of high-eccentricity long-period orbits with Jacobi constant close to 3 in the restricted circular planar three-body problem where the secondary and primary masses have mass…

Astrophysics · Physics 2009-11-07 Margaret Pan , Re'em Sari
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