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We have carried out a numerical investigation of the coupled gravitational and non-gravitational perturbations acting on Earth satellite orbits in an extensive grid, covering the whole circumterrestrial space, using an appropriately…

地球与行星天体物理 · 物理学 2019-04-12 Aaron J. Rosengren , Despoina K. Skoulidou , Kleomenis Tsiganis , George Voyatzis

The growing interest in the cislunar domain over the past decade has led to an increasing demand for low-thrust missions to key orbits within this region. These low-thrust missions, typically characterized by long thrust arcs, are highly…

数值分析 · 数学 2025-03-10 Amlan Sinha , Ryne Beeson

Most multi-planetary systems are characterized by hot-Jupiters close to their central star, moving on eccentric orbits. From a dynamical point of view, compact multi-planetary systems form a specific class of the general N-body problem…

天体物理学 · 物理学 2008-04-21 Julie Gayon , Eric Bois

The orbits in the HD 160691 planetary system at first appeared highly unstable, but using the MEGNO and FLI techniques of global dynamics analysis in the orbital parameter space we have found a stabilizing mechanism that could be the key to…

天体物理学 · 物理学 2009-11-07 Eric Bois , Ludmila Kiseleva-Eggleton , Nicolas Rambaux , Elke Pilat-Lohinger

Recent observational surveys of the outer Solar System provide evidence that Neptune's distant $n$:1 mean-motion resonances may harbor relatively large reservoirs of trans-Neptunian objects (TNOs). In particular, the discovery of two…

地球与行星天体物理 · 物理学 2024-02-02 Matthew W. Porter , David W. Gerdes , Kevin J. Napier , Hsing Wen Lin , Fred C. Adams

Periodic solutions of the three body problem are very important for understanding its dynamics either in a theoretical framework or in various applications in celestial mechanics. In this paper we discuss the computation and continuation of…

地球与行星天体物理 · 物理学 2017-04-04 George Voyatzis

The dynamical interactions that occur in newly formed planetary systems may reflect the conditions occurring in the protoplanetary disk out of which they formed. With this in mind, we explore the attainment and maintenance of orbital…

地球与行星天体物理 · 物理学 2015-05-14 John C. B. Papaloizou , Ewa Szuszkiewicz

This paper aims to illustrate the applications of resonant Hamiltonian normal forms to some problems of galactic dynamics. We detail the construction of the 1:1 resonant normal form corresponding to a wide class of potentials with…

星系天体物理 · 物理学 2014-01-15 Antonella Marchesiello , Giuseppe Pucacco

Asteroids in mean motion resonances with giant planets are common in the solar system, but it was not until recently that several asteroids in retrograde mean motion resonances with Jupiter and Saturn were discovered. A retrograde…

地球与行星天体物理 · 物理学 2018-06-14 Yukun Huang , Miao Li , Junfeng Li , Shengping Gong

We investigate the stability of prograde versus retrograde planets in circular binary systems using numerical simulations. We show that retrograde planets are stable up to distances closer to the perturber than prograde planets. We develop…

地球与行星天体物理 · 物理学 2013-08-09 M. H. M. Morais , C. A. Giuppone

In this investigation we treat a special configuration of two celestial bodies in 1:1 mean motion resonance namely the so-called exchange orbits. There exist -- at least -- theoretically -- two different types: the exchange-a orbits and the…

地球与行星天体物理 · 物理学 2017-08-15 Barbara Funk , Rudolf Dvorak , Richard Schwarz

In recent years several pairs of extrasolar planets have been discovered in the vicinity of mean-motion commensurabilities. In some cases, such as the Gliese 876 system, the planets seem to be trapped in a stationary solution, the system…

天体物理学 · 物理学 2009-11-07 C. Beauge , S. Ferraz-Mello , T. A. Michtchenko

We present six years of new radial-velocity data from the Anglo-Australian and Magellan Telescopes on the HD 73526 2:1 resonant planetary system. We investigate both Keplerian and dynamical (interacting) fits to these data, yielding four…

Planetary systems with multiple giant planets provide important opportunities to study planetary formation and evolution. The HD 45364 system hosts two giant planets that reside within the Habitable Zone (HZ) of their host star and was the…

地球与行星天体物理 · 物理学 2022-10-05 Zhexing Li , Stephen R. Kane , Paul A. Dalba , Andrew W. Howard , Howard T. Isaacson

As low-thrust space missions increase in prevalence, it is becoming increasingly important to design robust trajectories against unforeseen thruster outages or missed thrust events. Accounting for such events is particularly important in…

最优化与控制 · 数学 2025-06-18 Amlan Sinha , Ryne Beeson

An ever-growing observational aggregate of extrasolar planets has revealed that systems of planets that reside in or near mean-motion resonances are relatively common. While the origin of such systems is attributed to protoplanetary…

地球与行星天体物理 · 物理学 2015-06-16 Konstantin Batygin , Alessandro Morbidelli

We present a numerical study on the stability of all fourth- and fifth-order retrograde mean motion resonances (1/3, 3/1, 1/4, 4/1, 2/3, and 3/2) in the 3-body problem composed of a solar mass star, a Jupiter mass planet, and an additional…

地球与行星天体物理 · 物理学 2023-03-14 Alan Cefali Signor , Gabriel Antonio Carita , Maria Helena Moreira Morais

With the ever-increasing lunar missions, a growing interest develops in designing data relay satellite constellations for cislunar communications, which is challenged by the constrained visibility and huge distance between the earth and…

网络与互联网体系结构 · 计算机科学 2024-11-11 Afang Yuan , Zhouyong Hu , Zhili Sun , Qinyu Zhang , Zhihua Yang

We present a general analysis of the orbit structure of 2D potentials with self-similar elliptical equipotentials by applying the method of Lie transform normalization. We study the most relevant resonances and related bifurcations. We find…

星系天体物理 · 物理学 2014-01-15 Antonella Marchesiello , Giuseppe Pucacco

We report in this paper the numerical simulations of the capture into the 3:1 mean-motion resonance between the planet b and c in the 55 Cancri system. The results show that this resonance can be obtained by a differential planetary…

天体物理学 · 物理学 2009-11-13 Li-Yong Zhou , Sylvio Ferraz-Mello , Yi-Sui Sun