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Related papers: A general stability-driven approach for the refine…

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We describe a technique for solving for the orbital elements of multiple planets from radial velocity (RV) and/or astrometric data taken with 1 m/s and microarcsecond precision, appropriate for efforts to detect Earth-massed planets in…

Solar and Stellar Astrophysics · Physics 2009-11-13 J. T. Wright , A. W. Howard

The HR8799 planetary system with four ~10 mJup planets in wide orbits up to 70 au, and periods up to 500 yr has been detected with the direct imaging. Its intriguing orbital architecture is not fully resolved due to time-limited astrometry…

Earth and Planetary Astrophysics · Physics 2018-10-10 Krzysztof Gozdziewski , Cezary Migaszewski

We examine the effects that dynamical instability has on shaping the orbital properties of exoplanetary systems. Using N-body simulations of non-EMS (Equal Mutual Separation), multi-planet systems we find that the lower limit of the…

Earth and Planetary Astrophysics · Physics 2019-02-01 Dong-Hong Wu , Rachel C. Zhang , Ji-Lin Zhou , Jason H. Steffen

Context: Seasonal variations and climate stability of a planet are very sensitive to the planet obliquity and its evolution. This is of particular interest for the emergence and sustainability of land-based life, but orbital and rotational…

Earth and Planetary Astrophysics · Physics 2019-02-27 Melaine Saillenfest , Jacques Laskar , Gwenaël Boué

Aims. We study a subset of the planetary population characterized both by HARPS and Kepler surveys. We compare the statistical properties of planets in systems with m.sin i >5-10 M_Earth and R>2 R_Earth. If we assume that the underlying…

Earth and Planetary Astrophysics · Physics 2015-06-04 P. Figueira , M. Marmier , G. Boué , C. Lovis , N. C. Santos , M. Montalto , S. Udry , F. Pepe , M. Mayor

When exploring the stability of multiplanet systems in binaries, two parameters are normally exploited: the critical semimajor axis ac computed by Holman and Wiegert (1999) within which planets are stable against the binary perturbations,…

Earth and Planetary Astrophysics · Physics 2016-10-26 F. Marzari , G. Gallina

We present a new analytic study of the equilibrium and stability properties of close binary systems containing polytropic components. Our method is based on the use of ellipsoidal trial functions in an energy variational principle. We…

Astrophysics · Physics 2009-10-22 D. Lai , F. A. Rasio , S. L. Shapiro

Extrasolar multiple-planet systems provide valuable opportunities for testing theories of planet formation and evolution. The architectures of the known multiple-planet systems demonstrate a fascinating level of diversity, which motivates…

Earth and Planetary Astrophysics · Physics 2009-11-13 Robert A. Wittenmyer , Michael Endl , William D. Cochran , Harold F. Levison , Gregory W. Henry

The distribution of period ratios for 580 known two-planet systems is apparently nonuniform, with several sharp peaks and troughs. In particular, the vicinity of the 2:1 commensurability seems to have a deficit of systems. Using Monte Carlo…

Earth and Planetary Astrophysics · Physics 2024-09-24 Valeri Makarov , Alexey Goldin , Dimitri Veras

Multi-planet systems exhibit a diversity of architectures that diverge from the solar system and contribute to the topic of exoplanet demographics. Radial velocity (RV) surveys form a crucial component of exoplanet surveys, as their long…

Due to the exquisite photometric precision, transiting exoplanet discoveries from the Kepler mission are enabling several new techniques of confirmation and characterization. One of these newly accessible techniques analyzes the phase…

Earth and Planetary Astrophysics · Physics 2015-06-12 Stephen R. Kane , Dawn M. Gelino

To investigate non-linear dynamical systems, like for instance artificial satellites, Solar System, exoplanets or galactic models, it is necessary to have at hand several tools, such as a reliable dynamical indicator. The aim of the present…

Chaotic Dynamics · Physics 2015-05-30 Nicolas Maffione , Claudia Giordano , Pablo Cincotta

We introduce a new sequential methodology to calibrate the fixed parameters and track the stochastic dynamical variables of a state-space system. The proposed method is based on the nested hybrid filtering (NHF) framework of [1], that…

Computation · Statistics 2021-03-24 Sara Pérez-Vieites , Joaquín Míguez

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 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

Much remains to be understood about the nature of exoplanets smaller than Neptune, most of which have been discovered in compact multi-planet systems. With its inner ultra-short period planet b aligned with the star and two larger outer…

A method for enhancing the stability and robustness of explicit schemes in computational fluid dynamics is presented. The method is based in reformulating explicit schemes in matrix form, which cane modified gradually into semi or…

Mathematical Physics · Physics 2009-11-10 A. A. Hujeirat

The recently developed method (Paper 1) enabling one to investigate the evolution of dynamical systems with an accuracy not dependent on time is developed further. The classes of dynamical systems which can be studied by that method are…

Instrumentation and Methods for Astrophysics · Physics 2018-11-05 V. G. Gurzadyan , A. A. Kocharyan

We present EXOFAST, a fast, robust suite of routines written in IDL which is designed to fit exoplanetary transits and radial velocity variations simultaneously or separately, and characterize the parameter uncertainties and covariances…

Instrumentation and Methods for Astrophysics · Physics 2013-02-04 Jason Eastman , B. Scott Gaudi , Eric Agol

The Transit Ephemeris Refinement and Monitoring Survey (TERMS) is a project which aims to detect transits of intermediate-long period planets by refining orbital parameters of the known radial velocity planets using additional data from…