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Planetary-scale collisions are common during the last stages of formation of solid planets, including the Solar system terrestrial planets. The problem of growing planets has been divided into studying the gravitational interaction of…

Earth and Planetary Astrophysics · Physics 2019-09-04 Diana Valencia , Emaad Paracha , Alan P. Jackson

We develop a probabilistic framework for \emph{rendezvous planning}: given sparse, noisy observations of a fast-moving target, plan rendezvous spatiotemporal coordinates for a set of significantly slower seeking agents. The unknown target…

Optimization and Control · Mathematics 2026-04-03 Thomas A. Scott , Lukas Taus , Yen-Hsi Richard Tsai , Tan Bui-Thanh , Justin G. R. Delva

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

Thousands of satellites, asteroids, and rocket bodies break, collide, or degrade, resulting in large amounts of space debris in low Earth orbit. The presence of space debris poses a serious threat to satellite mega-constellations and to…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Olivier Daoust , Hasan Nayir , Irfan Azam , Antoine Lesage-Landry , Gunes Karabulut Kurt

A source traffic model for machine-to-machine communications is presented in this paper. We consider a model in which devices operate in a regular mode until they are triggered into an alarm mode by an alarm event. The positions of devices…

Networking and Internet Architecture · Computer Science 2017-09-05 Henning Thomsen , Carles Navarro Manchón , Bernard Henri Fleury

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

This paper provides a statistical characterization of the individual achievable rates in bits/s/Hz and the spatial throughput of bipolar Poisson wireless networks in bits/s/Hz/m$^2$. We assume that all transmitters have a cognitive ability…

Information Theory · Computer Science 2014-04-29 Pedro H. J. Nardelli , Carlos H. Morais de Lima , Hirley Alves , Paulo Cardieri , Matti Latva-aho

Effective collective decision-making in swarm robotics often requires balancing exploration, communication and individual uncertainty estimation, especially in hazardous environments where direct measurements are limited or costly. We…

Robotics · Computer Science 2025-12-01 Gabriel Aguirre , Simay Atasoy Bingöl , Heiko Hamann , Jonas Kuckling

In the effort to obtain low cost routine space debris observations in low Earth orbit, ESA plans to utilise the radar facilities of the European Incoherent Scatter Scientific Association. First demonstration measurements were performed from…

Astrophysics · Physics 2009-11-07 M. Landgraf , R. Jehn , W. Flury

An improved inference method for densely connected systems is presented. The approach is based on passing condensed messages between variables, representing macroscopic averages of microscopic messages. We extend previous work that showed…

Information Theory · Computer Science 2009-11-11 Juan P. Neirotti , David Saad

The number of objects in orbit is rapidly increasing, primarily driven by the launch of megaconstellations, an approach to satellite constellation design that involves large numbers of satellites paired with their rapid launch and disposal.…

Earth and Planetary Astrophysics · Physics 2026-01-09 Sarah Thiele , Skye R. Heiland , Aaron C. Boley , Samantha M. Lawler

The queue system,with Poisson arrivals,constant service time and infinite servers, busy period distribution is intensively studied because, due to its probability density function quite easy interpretation, it may serve as a clue to…

Probability · Mathematics 2021-09-23 Manuel Alberto M. Ferreira

This paper presents an exhaustive study on the arrivals process at eight important European airports. Using inbound traffic data, we define, compare, and contrast a data-driven Poisson and PSRA point process. Although, there is sufficient…

Applications · Statistics 2017-08-09 Carlo Lancia , Guglielmo Lulli

We present a Bayesian data fusion method to approximate a posterior distribution from an ensemble of particle estimates that only have access to subsets of the data. Our approach relies on approximate probabilistic inference of model…

Computation · Statistics 2020-10-28 Caleb Miller , Michael D. Schneider , Jem N. Corcoran , Jason Bernstein

We analyze the performance of an interference-limited, decode-and-forward, cooperative relaying system that comprises a source, a destination, and $N$ relays, placed arbitrarily on the plane and suffering from interference by a set of…

Information Theory · Computer Science 2016-03-25 Alessandro Crismani , Udo Schilcher , Günther Brandner , Stavros Toumpis , Christian Bettstetter

We consider models for spatiotemporal Poisson processes with some missing location data. We discuss four models that make provision for missing location data, and their estimation. The corresponding code is available on GitHub as an…

Uncontrolled spacecraft will disintegrate and generate a large amount of debris in the reentry process, and ablative debris may cause potential risks to the safety of human life and property on the ground. Therefore, predicting the landing…

Machine Learning · Computer Science 2023-09-08 Hu Gao , Zhihui Li , Depeng Dang , Jingfan Yang , Ning Wang

Accurate tracking of probes is one of the key points of space exploration. Range and Doppler techniques are the most commonly used. In this paper we analyze the impact of the transponder delay, $i.e.$ the processing time between reception…

The increasing deployment of robots in co-working scenarios with humans has revealed complex safety and efficiency challenges in the computation robot behavior. Movement among humans is one of the most fundamental -- and yet critical --…

Robotics · Computer Science 2022-03-04 Mehdi Dadvar , Keyvan Majd , Elena Oikonomou , Georgios Fainekos , Siddharth Srivastava

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

Statistics Theory · Mathematics 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top