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Using the period and mass data of two hundred and seventy-nine extrasolar planets, we have constructed a coupled period-mass function through the non-parametric approach. This analytic expression of the coupled period-mass function has been…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Ing-Guey Jiang , Li-Chin Yeh , Yen-Chang Chang , Wen-Liang Hung

Features in the distribution of exoplanet parameters by period demonstrate that the distribution of planet parameters is rich with information that can provide essential guidance to understanding planet histories. Structure has been found…

Instrumentation and Methods for Astrophysics · Physics 2019-08-09 Stuart F. Taylor

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-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

Today, with the large number of detected exoplanets and improved measurements, we can reach the next step of planetary characterization. Classifying different populations of planets is not only important for our understanding of the…

Earth and Planetary Astrophysics · Physics 2017-08-23 Dolev Bashi , Ravit Helled , Shay Zucker , Christoph Mordasini

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

Previous studies using Kepler data suggest that planets orbiting the same star tend to have similar sizes. However, due to the faintness of the stars, only a few of the planets were also detected with radial velocity follow-ups, and…

Earth and Planetary Astrophysics · Physics 2022-02-09 J. F. Otegi , R. Helled , F. Bouchy

Many Kepler multiplanet systems have planet pairs near low-order, mean-motion resonances. In addition, many Kepler multiplanet systems have planets with orbital periods less than a few days. With the exception of Kepler-42, however, there…

Earth and Planetary Astrophysics · Physics 2015-06-16 Jason H. Steffen , Will Farr

We address the claim of Weiss et al. (2018) that the radii of adjacent planets in Kepler multi-planet systems are correlated. We explore two simple toy models---in the first the radii of the planets are chosen at random from a single…

Earth and Planetary Astrophysics · Physics 2021-09-09 Lena Murchikova , Scott Tremaine

Employing a catalog of 175 extrasolar planets (exoplanets) detected by the Doppler-shift method, we constructed the independent and coupled mass-period functions. It is the first time in this field that the selection effect is considered in…

Earth and Planetary Astrophysics · Physics 2014-11-20 Ing-Guey Jiang , Li-Chin Yeh , Yen-Chang Chang , Wen-Liang Hung

Probabilistic relationships between the mass and radius of planets are useful for a variety of purposes, including estimating the yields of planet discovery efforts and the radii of discovered planets given their masses. Previous work on…

Earth and Planetary Astrophysics · Physics 2019-09-23 Daniel P. Thorngren , Mark S. Marley , Jonathan J. Fortney

This paper compares the statistical features of the sample of discovered extrasolar planets with those of the secondaries in nearby spectroscopic binaries, in order to enable us to distinguish between the two populations. Based on 32 planet…

Astrophysics · Physics 2007-05-23 T. Mazeh , S. Zucker

Many of the multi-planet systems discovered to date have been notable for their compactness, with neighbouring planets closer together than any in the Solar System. Interestingly, planet-hosting stars have a wide range of ages, suggesting…

Earth and Planetary Astrophysics · Physics 2018-07-04 Alysa Obertas , Christa Van Laerhoven , Daniel Tamayo

We present a general method for determining the masses and orbital parameters of binary millisecond pulsars with long orbital periods (P_orb >> 1 yr), using timing data in the form of pulse frequency derivatives. We apply our method to…

Astrophysics · Physics 2009-10-28 K. J. Joshi , F. A. Rasio

Long-period transiting exoplanets provide an opportunity to study the mass-radius relation and internal structure of extrasolar planets. Their studies grant insights into planetary evolution akin to the Solar System planets, which, in…

Earth and Planetary Astrophysics · Physics 2009-11-19 Kaspar von Braun , Stephen R. Kane

To demonstrate a degree of correlation between periodicity in the solar activity and a multi-resonant system three examples are considered. Although only two base frequencies were employed a relatively close correlation was obtained for…

Astrophysics · Physics 2007-05-23 M. A. Vukcevic

We present preliminary though statistically significant evidence that shows that multiplanetary systems that exhibit a 2/1 period commensurability are in general younger than multiplanetary systems without commensurabilities, or even…

Earth and Planetary Astrophysics · Physics 2016-01-07 Shuki Koriski , Shay Zucker

The Kepler mission is dramatically increasing the number of planets known in multi-planetary systems. Many adjacent planets have orbital period ratios near resonant values, with a tendency to be larger than required for exact first-order…

Earth and Planetary Astrophysics · Physics 2015-06-12 Clement Baruteau , John C. B. Papaloizou

The multiple-planet systems discovered by the Kepler mission show an excess of planet pairs with period ratios just wide of exact commensurability for first-order resonances like 2:1 and 3:2. In principle, these planet pairs could have both…

Earth and Planetary Astrophysics · Physics 2015-06-16 Man Hoi Lee , D. Fabrycky , D. N. C. Lin

The radius of an exoplanet may be affected by various factors, including irradiation, planet mass and heavy element content. A significant number of transiting exoplanets have now been discovered for which the mass, radius, semi-major axis,…

Earth and Planetary Astrophysics · Physics 2015-06-04 B. Enoch , A. Collier Cameron , K. Horne