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We investigate the evolution of families of periodic orbits in a bisymmetrical potential made up of a two-dimensional harmonic oscillator with only one quartic perturbing term, in a number of resonant cases. Our main objective is to compute…

Chaotic Dynamics · Physics 2013-07-09 Euaggelos E. Zotos

A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal…

Earth and Planetary Astrophysics · Physics 2015-06-04 Konstantin Batygin , Alessandro Morbidelli

Perturbative analyses of planetary resonances commonly predict singularities and/or divergences of resonance widths at very low and very high eccentricities. We have recently re-examined the nature of these divergences using…

Earth and Planetary Astrophysics · Physics 2022-06-08 Renu Malhotra

Transient orbital resonances have recently been identified as potentially important to the inspiral of small bodies into large black holes. These resonances occur as the inspiral evolves through moments in which two fundamental orbital…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Uchupol Ruangsri , Scott A. Hughes

We present analytic estimates of the fractional uncertainties on the mass, radius, surface gravity, and density of a transiting planet, using only empirical or semi-empirical measurements. We first express these parameters in terms of…

Earth and Planetary Astrophysics · Physics 2021-04-28 Romy Rodriguez Martinez , Daniel J. Stevens , B. Scott Gaudi , Joseph G. Schulze , Wendy R. Panero , Jennifer A. Johnson , Ji Wang

We present a procedure for determination of positions and orbital elements, and associated uncertainties, of outer Solar System planets. The orbit-fitting procedure is greatly streamlined compared to traditional methods because acceleration…

Astrophysics · Physics 2009-10-31 G. Bernstein , B. Khushalani

Shock-physics numerical codes are essential tools for describing the short but extreme fragmentation stage of the hypervelocity impact process on asteroids. However, accurately representing complex interior structures, surfaces, and contact…

Earth and Planetary Astrophysics · Physics 2026-04-16 Xiaoran Yan , Patrick Michel , Ruichen Ni , Yifei Jiao , Junfeng Li

As a planet transits the face of a star, it accelerates along the line-of-sight. The changing delay in the propagation of photons produces an apparent deceleration of the planet across the sky throughout the transit. This persistent…

Astrophysics · Physics 2009-11-10 Abraham Loeb

A primary goal of exoplanet characterization is to use a planet's current composition to understand how that planet formed. For example, the C/O ratio has long been recognized as carrying important information on the chemistry of volatile…

Earth and Planetary Astrophysics · Physics 2021-06-23 Joshua D. Lothringer , Zafar Rustamkulov , David K. Sing , Neale P. Gibson , Jamie Wilson , Kevin C. Schlaufman

The increasing number of objects orbiting the Earth justifies the great attention and interest in the observation, spacecraft protection and collision avoidance. These studies involve different disturbances and resonances in the orbital…

Space Physics · Physics 2012-10-31 J. C. Sampaio , E. Wnuk , R. Vilhena de Moraes , S. S. Fernandes

The majority of extrasolar planets discovered to date have significantly eccentric orbits, some if not all of which may have been produced through planetary migration. During this process, any planets interior to such an orbit would…

Earth and Planetary Astrophysics · Physics 2009-12-11 Gareth F. Kennedy , Rosemary A. Mardling

Mean motion resonances (MMR) are a frequent phenomenon among extrasolar planetary systems. Current observations indicate that many systems have planets that are close to or inside the 2:1 MMR, when the orbital period of one of the planets…

Earth and Planetary Astrophysics · Physics 2023-05-24 Cristian Giuppone , Adrián Rodríguez , Viviam Alencastro , Fernando Roig , Tabaré Gallardo

Some principles in the distribution of Centaurs and the "Scattered Disk" objects, as well as the Kuiper belt objects for its semi-major axes, eccentricities and inclinations of the orbits have been investigated. It has been established,…

Earth and Planetary Astrophysics · Physics 2013-01-22 B. R. Mushailov , V. S. Teplitskaya

The analysis of transiting extra-solar planets provides an enormous amount of information about the formation and evolution of planetary systems. A precise knowledge of the host stars is necessary to derive the planetary properties…

Solar and Stellar Astrophysics · Physics 2015-05-14 M. Ammler-von Eiff , N. C. Santos , S. G. Sousa , J. Fernandes , T. Guillot , G. Israelian , M. Mayor , C. Melo

We have made an extensive search for grouping amongst the near Earth asteroids (NEAs). We used two D- functions and rigorous cluster analysis approach. We have found sev- eral new groups (associations) among the NEAs: the objects moving on…

Earth and Planetary Astrophysics · Physics 2020-03-04 Tadeusz J. Jopek

The rotational properties of small near-Earth asteroids (NEAs) provide crucial insights into their internal structure and collisional history. However, systematic surveys targeting metre- to decametre-sized bodies are rare, thus leaving…

Earth and Planetary Astrophysics · Physics 2026-02-24 Miguel R. Alarcon , Javier Licandro , Miquel Serra-Ricart

The statistical results of transiting planets show that there are two peaks around 1.5 and 2.0 in the distribution of orbital period ratios. A large number of planet pairs are found near the exact location of mean motion resonances (MMRs).…

Earth and Planetary Astrophysics · Physics 2021-01-27 Su Wang , D. N. C. Lin , Xiaochen Zheng , Jianghui Ji

We present refined values for the physical parameters of transiting exoplanets, based on a self-consistent and uniform analysis of transit light curves and the observable properties of the host stars. Previously it has been difficult to…

Astrophysics · Physics 2009-11-13 G. Torres , J. N. Winn , M. J. Holman

We investigate the behaviour of two recent methods for the computation of preliminary orbits. These methods are based on the conservation laws of Kepler's problem, and enable the linkage of very short arcs of optical observations even when…

Earth and Planetary Astrophysics · Physics 2024-01-03 Óscar Rodríguez , Giovanni F. Gronchi , Giulio Baù , Robert Jedicke

By measuring the elemental abundances of a star, we can gain insight into the composition of its initial gas cloud -- the formation site of the star and its planets. Planet formation requires metals, the availability of which is determined…

Earth and Planetary Astrophysics · Physics 2021-09-02 Jared R. Kolecki , Ji Wang , Jennifer A. Johnson , Joel C. Zinn , Ilya Ilyin , Klaus G Strassmeier