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A simple question of celestial mechanics is investigated: in what regions of phase space near a binary system can planets persist for long times? The planets are taken to be test particles moving in the field of an eccentric binary system.…

天体物理学 · 物理学 2010-04-06 Matthew Holman , Paul Wiegert

We study the stability regions and families of periodic orbits of two planets locked in a co-orbital configuration. We consider different ratios of planetary masses and orbital eccentricities, also we assume that both planets share the same…

地球与行星天体物理 · 物理学 2015-05-18 C. A. Giuppone , C. Beaugé , T. A. Michtchenko , S. Ferraz-Mello

Asteroid binaries found amongst the Near-Earth objects are believed to have formed from rotational fission. In this paper, we aim to study the dynamical evolution of asteroid systems the moment after fission. The initial condition is…

地球与行星天体物理 · 物理学 2022-09-14 Alex Ho , Margrethe Wold , Mohammad Poursina , John T. Conway

The planetary dynamics of $4/3$, $3/2$, $5/2$, $3/1$ and $4/1$ mean motion resonances is studied by using the model of the general three body problem in a rotating frame and by determining families of periodic orbits for each resonance.…

地球与行星天体物理 · 物理学 2017-02-10 K. I. Antoniadou , G. Voyatzis

Applying the method of analytical continuation of periodic orbits, we study quasi-satellite motion in the framework of the three-body problem. In the simplest, yet not trivial model, namely the planar circular restricted problem, it is…

地球与行星天体物理 · 物理学 2018-09-13 G. Voyatzis , K. I. Antoniadou

We develop a framework based on energy kicks for the evolution of high-eccentricity long-period orbits with Jacobi constant close to 3 in the restricted circular planar three-body problem where the secondary and primary masses have mass…

天体物理学 · 物理学 2009-11-07 Margaret Pan , Re'em Sari

Observations of the Kuiper Belt indicate that a larger than expected percentage of KBO's (approximately 8 out of 500) are in binary pairs. The formation and survival of such objects presents a conundrum [1]. Two competing theories have been…

空间物理 · 物理学 2007-05-23 R. C. Nazzario , T. W. Hyde

The theory of the post-Newtonian (PN) planar circular restricted three-body problem is used for numerically investigating the orbital dynamics of a test particle (e.g., a comet, asteroid, meteor or spacecraft) in the planar Sun-Jupiter…

地球与行星天体物理 · 物理学 2018-03-21 Euaggelos E. Zotos , F. L. Dubeibe

Tumbling asteroids belong to a small group of objects, whose angular velocity vector is unaligned with any of its principal axes of inertia. This leads to challenging efforts to model the trajectory of any spacecraft designed to orbit these…

地球与行星天体物理 · 物理学 2021-05-31 S. Aljbaae , J. Souchay , V. Carruba , D. M. Sanchez , A. F. B. A. Prado

Planets have been observed in tight binary systems with separations less than 20 AU. A likely formation scenario for such systems involves a dynamical capture, after which high relative inclinations are likely and may lead to Kozai…

地球与行星天体物理 · 物理学 2011-02-11 Lamya Saleh , Frederic Rasio

We studied the dynamical environment in the vicinity of the primary of the binary asteroid. The gravitational field of the primary is calculated by the polyhedron model with observational data of the irregular shape. The equilibrium points,…

地球与行星天体物理 · 物理学 2018-05-29 Yu Jiang

We obtained thorough photometric observations of two binary near-Earth asteroids (66391) Moshup = 1999 KW4 and (88710) 2001 SL9 taken from 2000 to 2019 and derived physical and dynamical properties of the binary systems. We found that the…

It has been suggested that the long-lived residual radial velocity variations observed in the precision radial velocity measurements of the primary of Gamma Cephei (HR8974, HD222404, HIP116727) are likely due to a Jupiter-like planet around…

天体物理学 · 物理学 2009-11-13 Nader Haghighipour

This paper studies the secondary's rotation in a synchronous binary asteroid system in which the secondary enters the 1:1 spin-orbit resonance. The model used is the planar full two-body problem composed of a spherical primary plus a…

地球与行星天体物理 · 物理学 2020-02-19 Haishuo Wang , Xiyun Hou

In this work, we investigate the Earth-Moon system, as modeled by the planar circular restricted three-body problem, and relate its dynamical properties to the underlying structure associated with specific invariant manifolds. We consider a…

混沌动力学 · 物理学 2020-11-26 Vitor M. de Oliveira , Priscilla A. Sousa-Silva , Iberê L. Caldas

Recently the first Earth Trojan has been observed (Mainzer et al., ApJ 731) and found to be on an interesting orbit close to the Lagrange point L4 (Connors et al., Nature 475). In the present study we therefore perform a detailed…

地球与行星天体物理 · 物理学 2015-06-04 Rudolf Dvorak , Christoph Lhotka , Liyong Zhou

Precision radial velocity measurements of the Gamma Cephei (HR8974) binary system suggest the existence of a planetary companion with a minimum mass of 1.7 Jupiter-mass on an elliptical orbit with a ~2.14 AU semimajor axis and 0.12…

天体物理学 · 物理学 2009-11-10 Nader Haghighipour

In this work, we study the continuation of a periodic orbit on a relatively large scale and discover the existence of convergence under certain conditions, which has profound significance in research on asteroids and can provide a total…

地球与行星天体物理 · 物理学 2020-10-26 Haokun Kang , Yu Jiang , Hengnian Li

We consider the general spatial three body problem and study the dynamics of planetary systems consisting of a star and two planets which evolve into 2/1 mean motion resonance and into inclined orbits. Our study is focused on the periodic…

地球与行星天体物理 · 物理学 2017-02-10 K. I. Antoniadou , G. Voyatzis

The full two-body problem (F2BP) is often used to model binary asteroid systems, representing the bodies as two finite mass distributions whose dynamics are influenced by their mutual gravity potential. The emergent behavior of the F2BP is…

地球与行星天体物理 · 物理学 2020-02-26 Alex B. Davis , Daniel J. Scheeres