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The rapid growth of cislunar activities, including lunar landings, the Lunar Gateway, and in-space refueling stations, requires advances in cost-efficient trajectory design and reliable integration of navigation and remote sensing.…

地球与行星天体物理 · 物理学 2025-11-06 Arsalan Muhammad , Wasiu Akande Ahmed , Omada Friday Ojonugwa , Paul Puspendu Biswas

We report the detection of a second exoplanet orbiting the G6V dwarf HD73526. This second planet has an orbital period of 377 d, putting it in a 2:1 resonance with the previously known exoplanet, the orbital period for which is updated to…

In the framework of the planar CR3BP for mass parameter mu=0.0121505, corresponding to the Earth-Moon system, we identify and describe 80 families of periodic orbits encircling both the Earth and the Moon ("transfer" orbits). All the orbits…

天体物理学 · 物理学 2007-05-23 Alejandro M. Leiva , Carlos B. Briozzo

Escape trajectories from the Earth-Moon system play an important role in interplanetary transfer. This paper focuses on the escape trajectories from a 167 km circular Earth orbit in the Earth-Moon planar circular three-body problem and the…

地球与行星天体物理 · 物理学 2026-02-17 Shuyue Fu , Di Wu , Shengping Gong , Peng Shi

A 1:2 internally resonant mechanical system can undergo secondary Hopf (Neimark-Sacker) bifurcations, resulting in a quasi-periodic response when the system is subject to harmonic excitation. While these quasi-periodic orbits have been…

混沌动力学 · 物理学 2024-12-30 Hongming Liang , Shobhit Jain , Mingwu Li

We define a resonant collision of order k(geq 1) in a family of four-dimensional reversible maps. For any specified k, the bifurcation secnario is the collection of the different possible types of bifurcation of a symmetric fixed point that…

chao-dyn · 物理学 2009-10-30 A. Lahiri , A. Bhowal , T. K. Roy

It is widely believed that resonant orbits play an important role in formation and evolution of bars and large-scale spirals in galaxy discs. These resonant orbits have been studied in a number of specific potentials, often with an imposed…

星系天体物理 · 物理学 2024-02-16 Curtis Struck

The renewed global interest in lunar exploration requires new orbital strategies to ensure flight safety which can benefit extended lunar missions and service a plethora of planned instruments in the lunar orbit and surface. We investigate…

天体物理仪器与方法 · 物理学 2025-11-26 A. K. de Almeida , V. M. de Oliveira , T. Vaillant , D. Maia , A. C. M. Correia , D. Barbosa , L. T. B. Santos

A diversity of resonance configurations may be formed under different migration of two giant planets. And the researchers show that the HD 128311 and HD 73526 planetary systems are involved in a 2:1 mean motion resonance but not in apsidal…

地球与行星天体物理 · 物理学 2011-12-07 Zhang Niu , Ji Jianghui , Sun Zhao

Resonant chains are groups of planets for which each pair is in resonance, with an orbital period ratio locked at a rational value (2/1, 3/2, etc.). Such chains naturally form as a result of convergent migration of the planets in the…

地球与行星天体物理 · 物理学 2017-09-20 J. -B. Delisle

The recently discovered planetary system HD45364 which consists of a Jupiter and Saturn mass planet is very likely in a 3:2 mean motion resonance. The standard scenario to form planetary commensurabilities is convergent migration of two…

地球与行星天体物理 · 物理学 2010-01-29 Hanno Rein , John C. B. Papaloizou , Wilhelm Kley

Spacecraft operations are influenced by uncertainties such as dynamics modeling, navigation, and maneuver execution errors. Although mission design has traditionally incorporated heuristic safety margins to mitigate the effect of…

最优化与控制 · 数学 2025-06-10 Naoya Kumagai , Kenshiro Oguri

The classical fuel-optimal two-impulse rendezvous problem between Keplerian orbits is revisited from a family-based perspective. Conventional approaches often yield isolated optimal solutions whose mutual relationships remain unclear; yet,…

最优化与控制 · 数学 2026-04-07 Beom Park , Kathleen C. Howell , Jaewoo Kim , Jaemyung Ahn

The reachable set of controlled dynamical systems consist of the set of all possible reachable states from an initial condition, over a certain period of time under various control and operation constraints and exogenous disturbances. For…

最优化与控制 · 数学 2023-12-14 Sean R. Bowerfind , Ehsan Taheri

We investigate the resonant rotation of co-orbital bodies in eccentric and planar orbits. We develop a simple analytical model to study the impact of the eccentricity and orbital perturbations on the spin dynamics. This model is relevant in…

地球与行星天体物理 · 物理学 2016-04-27 A. Leleu , P. Robutel , A. C. M. Correia

We study the dynamics of the space debris in the 1:1 and 2:1 resonances, where geosynchronous and GPS satellites are located. By using Hamiltonian formalism, we consider a model including the geopotential contribution for which we compute…

动力系统 · 数学 2015-06-22 Alessandra Celletti , Catalin Gales

We investigate orbital resonances expected to arise when a system of two planets, with masses in the range 1-4 Earth masses, undergoes convergent migration while embedded in a section of gaseous disc where the flow is laminar. We consider…

天体物理学 · 物理学 2009-11-13 J. C. B. Papaloizou , E. Szuszkiewicz

The presence of mean motion resonances (MMRs) complicates analysis and fitting of planetary systems observed through the radial velocity (RV) technique. MMR can allow planets to remain stable in regions of phase space where strong…

地球与行星天体物理 · 物理学 2019-09-25 M. M. Rosenthal , W. Jacobson-Galan , B. Nelson , R. A. Murray-Clay , J. A. Burt , B. Holden , E. Chang , N. Kaaz , J. Yant , R. P. Butler , S. S. Vogt

Multi-planet systems detected until now are in most cases characterized by hot-Jupiters close to their central star as well as high eccentricities. As a consequence, from a dynamical point of view, compact multi-planetary systems form a…

天体物理学 · 物理学 2009-02-03 Julie Gayon , Eric Bois

Cislunar space is the volume between Earth's geosynchronous orbit and beyond the Moon, including the lunar Lagrange points. Understanding the stability of orbits within this space is crucial for the successful planning and execution of…

地球与行星天体物理 · 物理学 2025-03-07 Denvir Higgins , Travis Yeager , Peter McGill , James Buchanan , Tara Grice , Alexx Perloff , Michael Schneider