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The equilibrium points of the gravitational potential field of minor celestial bodies, including asteroids, comets, and irregular satellites of planets, are studied. In order to understand better the orbital dynamics of massless particles…

Earth and Planetary Astrophysics · Physics 2015-03-18 Xianyu Wang , Yu Jiang , Shengping Gong

We use N-body simulations to explore the influence of orbital eccentricity on the dynamical evolution of star clusters. Specifically we compare the mass loss rate, velocity dispersion, relaxation time, and the mass function of star clusters…

Astrophysics of Galaxies · Physics 2015-06-19 Jeremy J. Webb , Nathan Leigh , Alison Sills , William E. Harris , Jarrod R. Hurley

Previous work has demonstrated orbital stability for 100 Myr of initially near-circular and coplanar small bodies in a region termed the 'Earth-Mars belt' from 1.08 au $< a <$ 1.28 au. Via numerical integration of 3000 particles, we studied…

Earth and Planetary Astrophysics · Physics 2020-10-14 Yukun Huang , Brett Gladman

We simulate the coupled stellar and tidal evolution of short-period binary stars (orbital period $P_{orb} \lsim$8 days) to investigate the orbital oscillations, instellation cycles, and orbital stability of circumbinary planets (CBPs). We…

Earth and Planetary Astrophysics · Physics 2021-06-30 David E. Graham , David P. Fleming , Rory Barnes

The asteroid belt is characterized by an extreme low total mass of material on dynamically excited orbits. The Nice Model explains many peculiar qualities of the solar system, including the belt's excited state, by invoking an orbital…

Earth and Planetary Astrophysics · Physics 2020-01-15 Matthew S. Clement , Alessandro Morbidelli , Sean N. Raymond , Nathan A. Kaib

We present families of symmetric and asymmetric periodic orbits at the 1/1 resonance, for a planetary system consisting of a star and two small bodies, in comparison to the star, moving in the same plane under their mutual gravitational…

Earth and Planetary Astrophysics · Physics 2015-05-28 John D. Hadjidemetriou , George Voyatzis

This chapter discusses the dynamical properties of the Kuiper belt population. Then, it focuses on the characteristics of the Kuiper belt that cannot be explained by its evolution in the framework of the current solar system. We review…

Astrophysics · Physics 2007-05-23 A. Morbidelli , H. F. Levison , R. Gomes

In this review, I discuss just three aspects of the stability and evolution of galactic discs. (1) I first review our understanding of the bar instability and how it can be controlled. Disc galaxies in which the orbital speed does not…

Astrophysics · Physics 2007-05-23 J. A. Sellwood

More than 10% of extra-solar planets (EPs) orbit in a binary or multiple stellar system. We investigated the motion of planets revolving in binary systems in the frame of the particular case of the three body problem. We carried out an…

Earth and Planetary Astrophysics · Physics 2015-06-12 E. Plávalová , N. A. Solovaya

The dust measured in debris disks traces the position of planetesimal belts. In our Solar System, we are also able to measure the largest planetesimals directly and can extrapolate down to make an estimate of the dust. The zodiacal dust…

Earth and Planetary Astrophysics · Physics 2014-05-14 S. M. Lawler , the CFEPS Team

In the last few years, a number of planets have been proposed to orbit several post main-sequence binary star systems on the basis of observed variations in the timing of eclipses between the binary components. A common feature of these…

Earth and Planetary Astrophysics · Physics 2014-01-28 Jonathan Horner , Robert Wittenmyer , Tobias Hinse , Jonathan Marshall , Alex Mustill

We show the effects of the perturbation caused by a passing by star on the Kuiper belt objects (KBOs) of our Solar System. The dynamics of the Kuiper belt (KB) is followed by direct $N$-body simulations. The sampling of the KB has been done…

Earth and Planetary Astrophysics · Physics 2015-06-19 D. Punzo , R. Capuzzo-Dolcetta , S. Portegies Zwart

Having a massive moon has been considered as a primary mechanism for stabilized planetary obliquity, an example of which being our Earth. This is, however, not always consistent with the exoplanetary cases. This article details the…

Earth and Planetary Astrophysics · Physics 2022-08-24 Renyi Chen , Gongjie Li , Molei Tao

Star-planet interactions play, among other things, a crucial role in planetary orbital configurations by circularizing orbits, aligning the star and planet spin and synchronizing stellar rotation with orbital motions. This is especially…

The main motivation of this research is the analytical exploration of the dynamics of asteroid rotation when it moves in elliptic orbit through Space. According to the results of Efroimsky, Frouard (2016), various perturbations (collisions,…

General Physics · Physics 2019-12-12 Sergey V. Ershkov , Roman V. Shamin

Path equations of different orbiting objects in the presence of very strong gravitational fields are essential to examine the impact of its gravitational effect on the stability of each system. Implementing an analogous method, used to…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Magd E. Kahil

Satellites of asteroids have been discovered in nearly every known small body population, and a remarkable aspect of the known satellites is the diversity of their properties. They tell a story of vast differences in formation and evolution…

Earth and Planetary Astrophysics · Physics 2016-08-31 Kevin J. Walsh , Seth A. Jacobson

The NASA Kepler and K2 Missions have recently revealed a population of transiting giant planets orbiting moderately evolved, low-luminosity red giant branch stars. Here, we present radial velocity measurements of three of these systems,…

Many observed giant planets lie on eccentric orbits. Such orbits could be the result of strong scatterings with other giant planets. The same dynamical instability that produces these scatterings may also cause habitable planets in interior…

Earth and Planetary Astrophysics · Physics 2016-09-21 Daniel Carrera , Melvyn B. Davies , Anders Johansen

Much of the dynamical structure of the Kuiper belt can be explained if Neptune migrated over several AU, and/or if Neptune was scattered to an eccentric orbit during planetary instability. An outstanding problem with the existing formation…

Earth and Planetary Astrophysics · Physics 2015-08-19 David Nesvorny