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The proliferation of space debris in LEO has become a major concern for the space industry. With the growing interest in space exploration, the prediction of potential collisions between objects in orbit has become a crucial issue. It is…

Earth and Planetary Astrophysics · Physics 2024-12-11 Ricardo Ferreira , Cláudia Soares , Marta Guimarães

Neglecting small fragments in space debris evolutionary models can lead to a significant underestimation of the collision risk for operational satellites. However, when scaling down to the millimeter range, the debris population grows to…

Space Physics · Physics 2023-09-08 Lorenzo Giudici , Juan Luis Gonzalo , Camilla Colombo

We aim to provide satellite operators and researchers with an efficient means for evaluating and mitigating collision risk during the design process of mega-constellations. We first establish a baseline for evaluating various techniques for…

Earth and Planetary Astrophysics · Physics 2021-05-12 Nathan Reiland , Aaron J. Rosengren , Renu Malhotra , Claudio Bombardelli

An analytical formulation for collision avoidance maneuvers involving a spacecraft and a space debris is presented, including solutions for the maximum deviation and minimum collision probability cases. Gauss' planetary equations and…

Instrumentation and Methods for Astrophysics · Physics 2021-04-23 Juan Luis Gonzalo , Camilla Colombo , Pierluigi Di Lizia

The exponential increase in orbital debris and active satellites will lead to congested orbits, necessitating more frequent collision avoidance maneuvers by satellites. To minimize fuel consumption while ensuring the safety of satellites,…

Systems and Control · Electrical Eng. & Systems 2024-12-24 Kanghyun Ryu , Jean-Baptiste Bouvier , Shazaib Lalani , Siegfried Eggl , Negar Mehr

Satellite conjunctions involving "near misses" of space objects are becoming increasingly likely. One approach to risk analysis for them involves the computation of the collision probability, but this has been regarded as having some…

Applications · Statistics 2022-03-11 Soumaya Elkantassi , Anthony Davison

Aerodynamic collision avoidance manoeuvres provide an opportunity for satellites in Low Earth Orbits to reduce the risk during close encounters. With rising numbers of satellites and objects in orbit, satellites experience close encounters…

Space Physics · Physics 2023-06-28 F. Turco , C. Traub , S. Gaißer , J. Burgdorf , S. Klinkner , S. Fasoulas

Estimating the probability of collision between spacecraft is crucial for risk management and collision-avoidance strategies. Current methods often rely on Gaussian assumptions and simplifications, which can be inaccurate in highly…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Théo Verhelst , Giacomo Acciarini , Dario Izzo , Francesco Biscani

Over 34,000 objects bigger than 10 cm in length are known to orbit Earth. Among them, only a small percentage are active satellites, while the rest of the population is made of dead satellites, rocket bodies, and debris that pose a…

A method is developed to calculate collision probability in this paper. Based on the encounter geometric features of space objects, it is reasonable to separate the radial orbital motions from that in the cross section for most encounter…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Xiaoli Xu , Yongqing Xiong

Satellite conjunctions involving near misses of space objects are increasingly common, especially with the growth of satellite constellations and space debris. Accurate risk analysis for these events is essential to prevent collisions and…

Satellite conjunction analysis is the assessment of collision risk during a close encounter between a satellite and another object in orbit. A counterintuitive phenomenon has emerged in the conjunction analysis literature, namely,…

Statistics Theory · Mathematics 2019-07-25 Michael S. Balch , Ryan Martin , Scott Ferson

Numerical simulations are at the center of predicting the space debris environment of the upcoming decades. In light of debris generating events, such as continued anti-satellite weapon tests and planned mega-constellations, accurate…

Earth and Planetary Astrophysics · Physics 2022-03-15 Pablo Gómez , Fabio Gratl , Oliver Bösing , Dario Izzo

This work presents a sequential convex program method to compute fuel-optimal collision avoidance maneuvers for long-term encounters. The low-thrust acceleration model is used to account for the control, but the method can compute…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Zeno Pavanello , Laura Pirovano , Roberto Armellin

The presence of debris in Earth's orbit poses a significant risk to human activity in outer space. This debris population continues to grow due to ground launches, loss of external parts from space ships, and uncontrollable collisions…

Earth and Planetary Astrophysics · Physics 2023-01-11 John Jurkiewicz , Peter Hinow

The high number of objects in the LEO is a risk that collisions between sub-orbital or escape velocity objects with an orbiting object of satellites occur when two satellites collide while orbiting the earth. One of the approaches to avoid…

Instrumentation and Methods for Astrophysics · Physics 2021-10-25 Manuel Ntumba , Saurabh Gore , Pulkit Jain , Jean-Baptiste Awanyo

The density of orbital space debris constitutes an increasing environmental challenge. There are three ways to alleviate the problem: debris mitigation, debris removal and collision avoidance. This paper addresses collision avoidance, by…

Space Physics · Physics 2011-03-10 Creon Levit , William Marshall

With numerous ongoing deployments owned by private companies and startups, dense satellite constellations deployed in low Earth orbit (LEO) will play a major role in the near future of wireless communications. In addition, the 3rd…

Networking and Internet Architecture · Computer Science 2021-01-12 Israel Leyva-Mayorga , Beatriz Soret , Petar Popovski

The amount of debris in orbit has increased significantly over the years. With the recent growth of interest in space exploration, conjunction assessment has become a central issue. One important metric to evaluate conjunction risk is the…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Ricardo N. Ferreira , Marta Guimarães , Cláudia Soares

The exponential increase in artificial satellites, growing from 852 in 2004 to over 9,000 in 2023, has intensified the risk of the Kessler Syndrome: a cascading chain reaction of orbital collisions. This paper analyzes the dynamics of space…

Earth and Planetary Astrophysics · Physics 2025-12-30 Mark Ballard , Guanqun Song , Ting Zhu
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