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REBOUND is a new multi-purpose N-body code which is freely available under an open-source license. It was designed for collisional dynamics such as planetary rings but can also solve the classical N-body problem. It is highly modular and…

Earth and Planetary Astrophysics · Physics 2012-01-24 Hanno Rein , Shang-Fei Liu

In this paper we present in detail Newton's method and its modification, based on the Continuous analog of Newton's method for computing periodic orbits of the planar three-body problem. The linear system at each step of the method is…

Chaotic Dynamics · Physics 2021-11-23 I. Hristov , R. Hristova , I. Puzynin , T. Puzynina , Z. Sharipov , Z. Tukhliev

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

Many different models of the physical world exhibit chaotic dynamics, from fluid flows and chemical reactions to celestial mechanics. The study of the three-body problem (3BP) and its many different families of unstable periodic orbits…

Dynamical Systems · Mathematics 2025-12-04 Owen M. Brook , Jason J. Bramburger , Davide Amato , Urban Fasel

For unmanned aerial vehicle (UAV) trajectory design, the total propulsion energy consumption and initial-final location constraints are practical factors to consider. However, unlike traditional offline designs, these two constraints are…

Signal Processing · Electrical Eng. & Systems 2024-07-18 Yifan Jiang , Qingqing Wu , Wen Chen , Hongxun Hui

A control optimization approach is presented for a chaser spacecraft tasked with maintaining proximity to a target space object while avoiding collisions. The target object trajectory is provided numerically to account for both passive…

Optimization and Control · Mathematics 2025-07-01 Saif R. Kazi , Harsha Nagarajan , Hassan Hijazi , Przemek Wozniak

This work utilizes a particle swarm optimizer (PSO) for initial orbit determination for a chief and deputy scenario in the circular restricted three-body problem (CR3BP). The PSO is used to minimize the difference between actual and…

We propose a robust and efficient framework to generate global trajectories for ground robots in complex 3D environments. The proposed method takes point cloud as input and efficiently constructs a multi-level map using triangular patches…

Robotics · Computer Science 2024-11-14 Chengkun Tian , Xiaohui Gao , Yongguang Liu

Multi-revolution low-thrust trajectory optimization problems are important and challenging in space mission design. In this paper, an efficient, accurate, and widely applicable pseudospectral method is proposed to solve multi-revolution…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Yilin Zou , Fanghua Jiang

The impact risk has been sharply curtailed for the largest km-sized Near Earth Objects (NEOs) through a concerted period of observation spanning the last decade. Thus the risk of impact has now migrated to the smaller and more numerous…

Space Physics · Physics 2007-05-23 Dan Scheeres

In this study, a single autonomous underwater vehicle (AUV) aims to rendezvous with a submerged leader recovery vehicle through a cluttered and variable operating field. The rendezvous problem is transformed into a nonlinear optimal control…

Robotics · Computer Science 2016-06-17 Somaiyeh Mahmoud Zadeh , Amir Mehdi Yazdani , Karl Sammut , David M. W Powers

Applying intelligent robot arms in dynamic uncertain environments (i.e., flexible production lines) remains challenging, which requires efficient algorithms for real time trajectory generation. The motion planning problem for robot…

Robotics · Computer Science 2020-08-11 Weiye Zhao , Suqin He , Chengtao Wen , Changliu Liu

The rapid deployment of low earth orbit (LEO) satellite constellations has drawn attention to the potential of nonterrestrial networks (NTN) in providing global communication services. Telecom operators are attempting to collaborate with…

Networking and Internet Architecture · Computer Science 2025-02-18 Shaojie Su , Jiasheng Wu , Zijie Ying , Zhiyuan Zhao , Xiangyu Jia , Wenjun Zhu , Yue Gao

As robotic systems continue to address emerging issues in areas such as logistics, mobility, manufacturing, and disaster response, it is increasingly important to rapidly generate safe and energy-efficient trajectories. In this article, we…

Robotics · Computer Science 2022-11-14 Logan E. Beaver , Roberto Tron , Christos G. Cassandras

Path planning has long been one of the major research areas in robotics, with PRM and RRT being two of the most effective classes of planners. Though generally very efficient, these sampling-based planners can become computationally…

Robotics · Computer Science 2023-05-26 Sipu Ruan , Karen L. Poblete , Hongtao Wu , Qianli Ma , Gregory S. Chirikjian

Bayesian estimation with an explicit transitional prior is required for a tracking algorithm to be embedded in most multi-target tracking frameworks. This paper describes a novel approach capable of tracking maneuvering spacecraft with an…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Enrico M. Zucchelli , Brandon A. Jones

To achieve ubiquitous wireless connectivity, low earth orbit (LEO) satellite networks have drawn much attention. However, effective beam management is challenging due to time-varying cell load, high dynamic network topology, and complex…

Social and Information Networks · Computer Science 2024-04-16 Yaohua Sun , Jianfeng Zhu , Mugen Peng

Quadrotors with large thrust-to-weight ratios are able to track aggressive trajectories with sharp turns and high accelerations. In this work, we develop a search-based trajectory planning approach that exploits the quadrotor…

Robotics · Computer Science 2017-10-10 Sikang Liu , Kartik Mohta , Nikolay Atanasov , Vijay Kumar

This short communication is devoted to the design and continuation of a teardrop hovering formation along the Near Rectilinear Halo orbit and provides further insights into future on-orbit services in the cislunar space. First, we extend…

Optimization and Control · Mathematics 2026-02-02 Shuyue Fu , Yihan Peng , Shengping Gong , Peng Shi

This paper presents a strategy for optimal manoeuvre design of multi-satellite formation flying in low Earth orbit environment, with the aim of providing a tool for mission operation design. The proposed methodology for formation flying…

Instrumentation and Methods for Astrophysics · Physics 2022-02-09 Francesca Scala , Gabriella Gaias , Camilla Colombo , Manuel Martìn-Neira