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The discovery of over 200 extrasolar planets with the radial velocity (RV) technique has revealed that many giant planets have large eccentricities, in striking contrast with most of the planets in the solar system and prior theories of…

Astrophysics · Physics 2008-12-10 Eric B. Ford , Samuel N. Quinn , Dimitri Veras

The results of an extensive numerical study of the periodic orbits of planar, elliptic restricted three-body planetary systems consisting of a star, an inner massive planet and an outer mass-less body in the external 1:2 mean-motion…

Astrophysics · Physics 2008-11-26 Nader Haghighipour , Jocelyn Couetdic , Ferenc Varadi , William B. Moore

Exoplanets which are detected using the radial velocity technique have a well-known ambiguity of their true mass, caused by the unknown inclination of the planetary orbit with respect to the plane of the sky. Constraints on the inclination…

Earth and Planetary Astrophysics · Physics 2019-07-16 Stephen R. Kane , Dawn M. Gelino

The Space Interferometry Mission (SIM) will make precise astrometric measurements that can be used to detect planets around nearby stars. We have simulated SIM observations and estimated the ability of SIM to detect planets with given…

Astrophysics · Physics 2009-11-07 Eric B. Ford , Scott Tremaine

Many features of the outer solar system are replicated in numerical simulations if the giant planets undergo an orbital instability that ejects one or more ice giants. During this instability, Jupiter and Saturn's orbits diverge, crossing…

Earth and Planetary Astrophysics · Physics 2015-12-09 Nathan A. Kaib , John E. Chambers

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…

Earth and Planetary Astrophysics · Physics 2021-11-03 Wenrui Xu , Dong Lai

The Transit Timing Variations (TTVs) are deviations of the measured mid-transit times from the exact periodicity. One of the most interesting causes of TTVs is the gravitational interaction between planets. Here we consider a case of two…

Earth and Planetary Astrophysics · Physics 2016-06-01 D. Nesvorny , D. Vokrouhlicky

We study the dynamics of a two-planet system, which evolves being in a $1/1$ mean motion resonance (co-orbital motion) with non-zero mutual inclination. In particular, we examine the existence of bifurcations of periodic orbits from the…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou , George Voyatzis , Harry Varvoglis

In this paper, we study the behavior of a pair of co-orbital planets, both orbiting a central star on the same plane and undergoing tidal interactions. Our goal is to investigate final orbital configurations of the planets, initially…

Earth and Planetary Astrophysics · Physics 2015-06-16 Adrián Rodríguez , Cristian A. Giuppone , Tatiana A. Michtchenko

We analyze three years (1998-2000) of OGLE observations of microlensing events to place limits on the abundance of planets with a planet-to-star mass ratio $q=10^{-3}$ at distances $\sim 1-4$AU from their host stars, i.e. `cool Jupiters'.…

Astrophysics · Physics 2009-11-07 Yiannis Tsapras , Keith Horne , Stephen Kane , Richard Carson

We have applied a powerful numerical approach to compute, with a high resolution, the structure of dusty circumstellar disks with embedded planets. We emphasize some testable implications of our simulations which would verify the presence…

Astrophysics · Physics 2007-05-23 Nick N. Gorkavyi , Leonid M. Ozernoy , John C. Mather , Sara R. Heap

We investigate the estimation of orbital parameters by least-$\chi^2$ Keplerian fits to radial velocity (RV) data using synthetic data sets. We find that while the fitted period is fairly accurate, the best-fit eccentricity and $M_p\sin i$…

Astrophysics · Physics 2009-11-13 Yue Shen , Edwin L. Turner

The number of multi-planet systems known to be orbiting their host stars with orbital periods that place them in mean motion resonances is growing. For the most part, these systems are in first-order resonances and dynamical studies have…

Earth and Planetary Astrophysics · Physics 2015-06-15 James S. Jenkins , Mikko Tuomi , Ramon Brasser , Oleksiy Ivanyuk , Felipe Murgas

(Abridged) A diversity of 2:1 resonance configurations can be expected in extrasolar planetary systems, and their geometry can provide information about the origin of the resonances. Assembly during planet formation by the differential…

Astrophysics · Physics 2007-05-23 Man Hoi Lee

Planetary systems with mean-motion resonances (MMRs) hold special value in terms of their dynamical complexity and their capacity to constrain planet formation and migration histories. The key towards making these connections, however, is…

Earth and Planetary Astrophysics · Physics 2022-09-28 David Jensen , Sarah C. Millholland

Mass and radius are two fundamental properties for characterising exoplanets, but only for a relatively small fraction of exoplanets are they both available. Mass is often derived from radial velocity measurements, while the radius is…

Earth and Planetary Astrophysics · Physics 2019-10-09 S. Ulmer-Moll , N. C. Santos , P. Figueira , J. Brinchmann , J. P. Faria

We investigate an in-situ formation scenario for Earth-mass terrestrial planets in short-period, potentially habitable orbits around low-mass stars (M_star < 0.3 M_sun). We then investigate the feasibility of detecting these Earth-sized…

Earth and Planetary Astrophysics · Physics 2015-05-13 Ryan Montgomery , Greg Laughlin

We determine, analytically and numerically, the conditions needed for a system of two migrating planets trapped in a 2:1 mean motion resonance to enter an inclination-type resonance. We provide an expression for the asymptotic equilibrium…

Earth and Planetary Astrophysics · Physics 2015-06-19 Jean Teyssandier , Caroline Terquem

Extrasolar debris disks are detected by observing dust, which is thought to be released during planetesimal collisions. This implies that planetesimals are dynamically excited ("stirred"), such that collisions are sufficiently common and…

Earth and Planetary Astrophysics · Physics 2023-11-20 Tyson Costa , Tim D. Pearce , Alexander V. Krivov

In a recent paper it was reported a planetary system around the star HD60532, composed by two giant planets in a possible 3:1 mean motion resonance, that should be confirmed within the next decade. Here we show that the analysis of the…

Earth and Planetary Astrophysics · Physics 2009-11-13 J. Laskar , A. C. M. Correia