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Related papers: A fast method to identify mean motion resonances

200 papers

We introduce a new method of searching for and characterizing extra-solar planets. We show that by monitoring the center-of-light motion of microlensing alerts using the next generation of high precision astrometric instruments the…

Astrophysics · Physics 2009-10-31 Neda Safizadeh , Neal Dalal , Kim Griest

With planets orbiting stars, a planetary mass function should not be seen as a low-mass extension of the stellar mass function, but a proper formalism needs to take care of the fact that the statistical properties of planet populations are…

Earth and Planetary Astrophysics · Physics 2015-05-20 M. Dominik

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

There is evidence that most chains of mean motion resonances of type $k$:$k-1$ among exoplanets become unstable once the dissipative action from the gas is removed from the system, particularly for large $N$ (the number of planets) and $k$…

Earth and Planetary Astrophysics · Physics 2020-05-06 Gabriele Pichierri , Alessandro Morbidelli

Context: With no conclusive detection to date, the search for exomoons, satellites of planets orbiting other stars, remains a formidable challenge. Detecting these objects, compiling a population-level sample and constraining their…

A condition upon which sporadic bursts (intermittent behaviour) of the relative energy become possible is derived for the motion in the chaotic layer around the separatrix of non-linear resonance. This is a condition for the existence of a…

Chaotic Dynamics · Physics 2016-05-31 Ivan I. Shevchenko

I describe ongoing work on development of Bayesian methods for exploring periodically varying phenomena in astronomy, addressing two classes of sources: pulsars, and extrasolar planets (exoplanets). For pulsars, the methods aim to detect…

Instrumentation and Methods for Astrophysics · Physics 2012-04-27 Thomas J. Loredo

Exoplanets can be detected with various observational techniques. Among them, radial velocity (RV) has the key advantages of revealing the architecture of planetary systems and measuring planetary mass and orbital eccentricities. RV…

Instrumentation and Methods for Astrophysics · Physics 2023-08-02 Nathan C. Hara , Eric B. Ford

Planetary systems in mean motion resonances hold a special place among the planetary population. They allow us to study planet formation in great detail as dissipative processes are thought to have played an important role in their…

In a previous investigation, a model of three-body motion was developed which included the effects of gravitational radiation reaction. The aim was to describe the motion of a relativistic binary pulsar that is perturbed by a third mass and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zachary E. Wardell

We assess the multi-planet systems discovered by the Kepler satellite in terms of current ideas about orbital migration and eccentricity damping due to planet-disk interactions. Our primary focus is on mean motion resonances. Only a few…

Earth and Planetary Astrophysics · Physics 2015-06-17 Peter Goldreich , Hilke E. Schlichting

Recent observational surveys of the outer Solar System provide evidence that Neptune's distant $n$:1 mean-motion resonances may harbor relatively large reservoirs of trans-Neptunian objects (TNOs). In particular, the discovery of two…

Earth and Planetary Astrophysics · Physics 2024-02-02 Matthew W. Porter , David W. Gerdes , Kevin J. Napier , Hsing Wen Lin , Fred C. Adams

We consider a belt of small bodies around a star, captured in one of the external or 1:1 mean-motion resonances with a massive perturber. The objects in the belt collide with each other. Combining methods of celestial mechanics and…

Astrophysics · Physics 2015-05-13 Martina Queck , Alexander V. Krivov , Miodrag Sremcevic , Philippe Thebault

With over 1800 planets discovered outside of the Solar System in the past two decades, the field of exoplanetology has broadened our perspective on planetary systems. Research priorities are now moving from planet detection to planet…

Earth and Planetary Astrophysics · Physics 2015-09-07 Julien de Wit

For much of human history we have wondered how our solar system formed, and whether there are any other planets like ours around other stars. Only in the last 20 years have we had direct evidence for the existence of exoplanets, with the…

Solar and Stellar Astrophysics · Physics 2013-08-26 Jeffrey L. Coughlin

Exoplanets in protoplanetary disks cause localized deviations from Keplerian velocity in channel maps of molecular line emission. Current methods of characterizing these deviations are time consuming, and there is no unified standard…

Earth and Planetary Astrophysics · Physics 2023-01-04 Jason Terry , Cassandra Hall , Sean Abreau , Sergei Gleyzer

BEBOP is a radial-velocity survey that monitors a sample of single-lined eclipsing binaries, in search of circumbinary planets by using high-resolution spectrographs. Here, we describe and test the methods we use to identify planetary…

In this paper, we use a semi-analytical approach to analyze the global structure of the phase space of the planar planetary 3/1 mean-motion resonance, in cases where the outer planet is more massive than its inner companion. We show that…

Earth and Planetary Astrophysics · Physics 2015-11-30 A. J. Alves , T. A. Michtchenko , M. Tadeu dos Santos

The prospects for finding transiting exoplanets in the range of a few to 20 Earth masses is growing rapidly with both ground-based and spaced-based efforts. We describe a publicly available computer code to compute and quantify the…

Astrophysics · Physics 2013-01-08 Li Zeng , Sara Seager

The majority of the discovered transiting circumbinary planets are located very near the innermost stable orbits permitted, raising questions about the origins of planets in such perturbed environments. Most favored formation scenarios…

Earth and Planetary Astrophysics · Physics 2019-06-12 Adam P. Sutherland , Kaitlin M. Kratter