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In this paper, we address the risk estimation problem where one aims at estimating the probability of violation of safety constraints for a robot in the presence of bounded uncertainties with arbitrary probability distributions. In this…

Optimization and Control · Mathematics 2018-10-04 Ashkan Jasour , Andreas Hofmann , Brian C. Williams

Contraction analysis considers the distance between two adjacent trajectories. If this distance is contracting, then trajectories have the same long-term behavior. The main advantage of this analysis is that it is independent of the…

Dynamical Systems · Mathematics 2022-03-04 Peter Giesl , Sigurdur Hafstein , Christoph Kawan

Satellite networks with dense low Earth orbit (LEO) constellations rely on aggressive spectrum reuse, making co-channel interference a dominant and rapidly varying factor that limits link availability and complicates spectrum sharing and…

Information Theory · Computer Science 2026-05-11 Xiucheng Wang , Nan Cheng , Zhisheng Yin , Conghao Zhou , Ruijin Sun

The paper presents a re-entry analysis of Geosynchronous Orbit (GSO) satellites on disposal trajectories that enhance the effects of the Earth oblateness and lunisolar perturbations. These types of trajectories can lead to a natural…

Earth and Planetary Astrophysics · Physics 2021-10-12 Mirko Trisolini , Camilla Colombo

The development of large constellations of satellites (i.e., so-called megaconstellations or satcons) is poised to increase the number of LEO satellites by more than an order of magnitude in the coming decades. Such a rapid growth of…

Earth and Planetary Astrophysics · Physics 2022-12-26 Sarah Thiele , Aaron C. Boley

In the past two decades an increasing interest in discovering Near Earth Objects has been noted in the astronomical community. Dedicated surveys have been operated for data acquisition and processing, resulting in the present discovery of…

Instrumentation and Methods for Astrophysics · Physics 2019-01-10 T. Stefanut , V. Bacu , C. Nandra , D. Balasz , D. Gorgan , O. Vaduvescu

Finite mixture models that allow for a broad range of potentially non-elliptical cluster distributions is an emerging methodological field. Such methods allow for the shape of the clusters to match the natural heterogeneity of the data,…

Observing artificial satellites is a relatively new and unique branch of astronomy that is very interesting and dynamic. One specific aspect of observing these objects is that although they appear amongst the celestial background, as…

Space Physics · Physics 2015-07-02 Michael A. Earl

Examining the spin-orbit coupling effects for highly elliptical orbits is relevant to the mission design and operation of cislunar space assets, such as the Lunar Gateway. In high-eccentricity orbits, the gravity-gradient moment is here…

Earth and Planetary Astrophysics · Physics 2025-05-07 Erica Scantamburlo , Davide Guzzetti , Marcello Romano

Teramoto et al. defined a new measure called the gap ratio that measures the uniformity of a finite point set sampled from $\cal S$, a bounded subset of $\mathbb{R}^2$. We generalize this definition of measure over all metric spaces by…

Computational Geometry · Computer Science 2015-12-07 Arijit Bishnu , Sameer Desai , Arijit Ghosh , Mayank Goswami , Subhabrata Paul

The exponential rise in small-satellites and CubeSats in Low Earth Orbit (LEO) poses important challenges for future space traffic management. At altitudes of 600 km and lower, aerodynamic drag accelerates de-orbiting of satellites.…

Instrumentation and Methods for Astrophysics · Physics 2019-01-29 Aman Chandra , Greg Wilburn , Jekan Thangavelautham

A new algorithm for solving large-scale convex optimization problems with a separable objective function is proposed. The basic idea is to combine three techniques: Lagrangian dual decomposition, excessive gap and smoothing. The main…

Optimization and Control · Mathematics 2011-12-01 Tran Dinh Quoc , Carlo Savorgnan , Moritz Diehl

Dense constellations of Low Earth Orbit (LEO) small satellites are envisioned to make extensive use of the inter-satellite link (ISL). Within the same orbital plane, the inter-satellite distances are preserved and the links are rather…

Information Theory · Computer Science 2019-08-08 Beatriz Soret , Israel Leyva-Mayorga , Petar Popovski

We present orbital elements, orbital parallaxes and individual component masses, for fourteen spatially resolved double-line spectroscopic binaries derived doing a simultaneous fit of their visual orbit and radial velocity curve. This was…

Solar and Stellar Astrophysics · Physics 2022-02-16 Jennifer Anguita-Aguero , Rene A. Mendez , Ruben M. Claveria , Edgardo Costa

A preview study of using observational data of proper motions and Doppler shifted velocities of twin-jets to determine the distance of sources inside and outside our galaxy is made. We investigate the feasibility of this method by studying…

Astrophysics · Physics 2015-06-24 Yi-Ping Qin , Guang-Zhong Xie

We consider sampling and detection strategies for solar illuminated space debris. We argue that the lowest detectable debris cross section may be reduced by 10-100x by analysis of stacks of image frames collected at high rates rather than…

Earth and Planetary Astrophysics · Physics 2025-12-02 Hasan Bahcivan , David J. Brady , Gordon C. Hageman

In this paper, we consider a distributed joint sensing and communication (DJSC) system in which multiple radar sensors are deployed. Each sensor is equipped with a sensing function and a communication function, and thus it is a JSC node.…

Networking and Internet Architecture · Computer Science 2021-11-09 Trung Thanh Nguyen , Khaled Elbassioni , Nguyen Cong Luong , Dusit Niyato , Dong In Kim

Satellite quantum communications have rapidly evolved in the past few years, culminating in the proposal, development, and deployment of satellite missions dedicated to quantum key distribution and the realization of fundamental tests of…

We devise the fast adjoint response algorithm for the gradient of physical measures (long-time-average statistics) of discrete-time hyperbolic chaos with respect to many system parameters. Its cost is independent of the number of…

Dynamical Systems · Mathematics 2022-09-13 Angxiu Ni

We investigate the utility of a constellation of four satellites in heliocentric orbit, equipped with accurate means to measure intersatellite ranges, round-trip times and phases of signals coherently retransmitted between members of the…

Instrumentation and Methods for Astrophysics · Physics 2023-11-08 Viktor T. Toth