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Relativistic Coulomb systems are studied in velocity space, prompted by the fact that the study of Newtonian Kepler/Coulomb systems in velocity space provides a method much simpler (and more elegant) than the familiar analytic solutions in…

Classical Physics · Physics 2017-01-31 Uri Ben-Ya'acov

Multi-planetary systems are prevalent in our Galaxy. The long-term stability of such systems may be disrupted if a distant inclined companion excites the eccentricity and inclination of the inner planets via the eccentric Kozai-Lidov…

Earth and Planetary Astrophysics · Physics 2023-12-11 Lingfeng Wei , Smadar Naoz , Thea Faridani , Will M. Farr

Satellite missions demand ever greater connectivity, especially in the LEO regime. In this paper, we introduce the new mega-constellation services in space paradigm: we show that megaconstellations, deployed to offer innovative services to…

Signal Processing · Electrical Eng. & Systems 2025-12-30 G. Maiolini Capez , M. A. Caceres , C. P. Bridges , S. Frey , R. Armellin , R. Garello , P. Bargellini

The number of space objects will grow several times in a few years due to the planned launches of constellations of thousands microsatellites. It leads to a significant increase in the threat of satellite collisions. Spacecraft must…

Fully re-orientable small spacecraft are now supported by commercial technologies, allowing them to point their instruments in any direction and capture images, with short notice. When combined with improved onboard processing, and…

Robotics · Computer Science 2025-06-24 Sreeja Roy-Singh , Alan P. Li , Vinay Ravindra , Roderick Lammers , Marc Sanchez Net

This paper presents a novel method for qualitative mapping of large scale spaces. The proposed framework makes use of a graphical representation of the world in order to build a map consisting of qualitative constraints on the geometric…

Robotics · Computer Science 2014-02-04 Mark McClelland , Tara Estlin , Mark Campbell

We propose factor graph optimization for simultaneous planning, control, and trajectory estimation for collision-free navigation of autonomous systems in environments with moving objects. The proposed online probabilistic motion planning…

Robotics · Computer Science 2022-04-29 Matthew King-Smith , Panagiotis Tsiotras , Frank Dellaert

As autonomous systems are being developed in multiple industries it has been recognized that a phased approach is needed both for technical development and user acceptance. Partially in response, the automotive and aircraft industries have…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Daniel Baker , Sean Phillips

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

Recent advances with space navigation technologies developed by NASA in space-based atomic clocks and pulsar X-ray navigation combined with past successes in autonomous navigation using optical imaging, brings to the forefront the need to…

Systems and Control · Electrical Eng. & Systems 2022-05-19 Todd Ely , Shyam Bhaskaran , Nicholas Bradley , T. Joseph W. Lazio , Tomas Martin-Mur

In the near future, autonomous space systems will compose many of the deployed spacecraft. Their tasks will involve autonomous rendezvous and proximity operations with large structures, such as inspections, assembly, and maintenance of…

We consider the feasibility of using the Galileo Navigation Satellite System to constrain possible extensions or modifications to General Relativity, by assessing the impact of the related additions to the Newtonian potential and comparing…

General Relativity and Quantum Cosmology · Physics 2011-08-25 O. Bertolami , J. Páramos

The relativity of Global Positioning System (GPS) pseudorange measurements is explored within the geometrical optics approximation in the curved space-time near Earth. A space-time grid for navigation is created by the discontinuities…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thomas B. Bahder

We propose an approach to estimate the 6DOF pose of a satellite, relative to a canonical pose, from a single image. Such a problem is crucial in many space proximity operations, such as docking, debris removal, and inter-spacecraft…

Computer Vision and Pattern Recognition · Computer Science 2019-09-02 Bo Chen , Jiewei Cao , Alvaro Parra , Tat-Jun Chin

This work investigates the impact of position and attitude perturbations on the beamforming performance of multi-satellite systems. The system under analysis is a formation of small satellites equipped with direct radiating arrays that…

Signal Processing · Electrical Eng. & Systems 2026-02-12 Diego Tuzi , Thomas Delamotte , Andreas Knopp

The basic theory on relativistic positioning systems in a two-dimensional space-time has been presented in two previous papers [Phys. Rev. D {\bf 73}, 084017 (2006); {\bf 74}, 104003 (2006)], where the possibility of making relativistic…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Bartolomé Coll , Joan Josep Ferrando , Juan Antonio Morales-Lladosa

A new equivalence relation, named relation of 'similarity' is defined and applied in the restricted three-body problem. Using this relation, a new class of trajectories (named 'similar' trajectories) are obtained; they have the theoretical…

Earth and Planetary Astrophysics · Physics 2011-10-24 Rodica Roman

Landing is a challenging part of autonomous drone flight and a great research opportunity. This PhD proposes to improve on fiducial autonomous landing algorithms by making them more flexible. Further, it leverages its location, Iceland, to…

Robotics · Computer Science 2022-11-14 Joshua Springer

Unlike in terrestrial cellular networks, certain frequency bands for low-earth orbit (LEO) satellite systems have thus far been allocated on a non-exclusive basis. In this context, systems that launch their satellites earlier (referred to…

Signal Processing · Electrical Eng. & Systems 2025-10-06 Jeong Min Kong , Eunsun Kim , Ian P. Roberts

In practice, low Earth orbit (LEO) and medium Earth orbit (MEO) satellite networks consist of multiple orbits which are populated with many satellites. A widely used spatial architecture for LEO or MEO satellites is the Walker…

Information Theory · Computer Science 2025-08-04 Chang-Sik Choi , Francois Baccelli