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The main idea of this challenging research is to revisit the solar-centric dynamics of Earth around the Sun in analysis of its position on 13 April 2029 close to asteroid Apophis which is supposed to be moving in fly-by near the Earth on…

General Physics · Physics 2023-07-19 Sergey Ershkov , Dmytro Leshchenko

The increasing number of space missions may overwhelm ground support infrastructure, prompting the need for autonomous deep-space guidance, navigation, and control (GN\&C) systems. These systems offer sustainable and cost-effective…

The order and chaos of the motion near equilibrium points in the potential of a rotating highly irregular-shaped celestial body are investigated from point of view of the dynamical system theory. The positions of the non-degenerate…

Earth and Planetary Astrophysics · Physics 2015-08-10 Yu Jiang , Hexi Baoyin , Xianyu Wang , Yang Yu , Hengnian Li , Chao Peng , Zhibin Zhang

Conjunction assessment requires knowledge of the uncertainty in the predicted orbit. Errors in the atmospheric density are a major source of error in the prediction of low Earth orbits. Therefore, accurate estimation of the density and…

Earth and Planetary Astrophysics · Physics 2020-04-24 David J. Gondelach , Richard Linares

Near Earth Objects (NEOs) are a transient population of small bodies with orbits near or in the terrestrial planet region. They represent a mid-stage in the dynamical cycle of asteroids and comets, which starts with their removal from the…

The aim is to show that in case of low probability of asteroid collision with Earth, the appropriate selection and weighing of the data are crucial for the impact investigation, and to analyze the impact possibilities using extensive…

Earth and Planetary Astrophysics · Physics 2015-05-13 Malgorzata Krolikowska , Grzegorz Sitarski , Andrzej M. Soltan

A new multifidelity method is developed for nonlinear orbit uncertainty propagation. This approach guarantees improved computational efficiency and limited accuracy losses compared to fully high-fidelity counterparts. The initial…

Numerical Analysis · Mathematics 2022-03-30 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Matteo Losacco , Francesco Sanfedino

The paper addresses the problem of minimizing the impact of non-linearities when dealing with uncertainty propagation in the perturbed two-body problem. The recently introduced generalized equinoctial orbital element set (GEqOE) is employed…

Earth and Planetary Astrophysics · Physics 2022-04-04 Javier Hernando-Ayuso , Claudio Bombardelli , Giulio Baù , Alicia Martínez-Cacho

Operating unmanned aerial vehicles (UAVs) in complex environments that feature dynamic obstacles and external disturbances poses significant challenges, primarily due to the inherent uncertainty in such scenarios. Additionally, inaccurate…

Robotics · Computer Science 2023-09-29 Tianyu Liu , Fu Zhang , Fei Gao , Jia Pan

This research addresses the challenge of performing search missions in dynamic environments, particularly for drifting targets whose movement is dictated by a flow field. This is accomplished through a dynamical system that integrates two…

Robotics · Computer Science 2025-11-04 Luka Lanča , Karlo Jakac , Sylvain Calinon , Stefan Ivić

In this paper, a practical approach to the trajectory design for asteroid exploration missions with CubeSats is presented. When applied trajectories are sought, operative concerns and uncertainties affecting the spacecraft dynamics must be…

Dynamical Systems · Mathematics 2022-07-13 Claudio Bottiglieri , Felice Piccolo , Carmine Giordano , Francesco Topputo

Gaia is an astrometric mission that will be launched in spring 2013. There are many scientific outcomes from this mission and as far as our Solar System is concerned, the satellite will be able to map thousands of main belt asteroids (MBAs)…

Earth and Planetary Astrophysics · Physics 2016-08-30 D. Bancelin , D. Hestroffer , W. Thuillot

It is well accepted that knowing the composition and the orbital evolution of asteroids may help us to understand the process of formation of the Solar System. It is also known that asteroids can represent a threat to our planet. Such…

Earth and Planetary Astrophysics · Physics 2017-11-20 R. A. N. Araujo , R. V. Moraes , A. F. B. A. Prado , O. C. Winter

Spacecraft operations are influenced by uncertainties such as dynamics modeling, navigation, and maneuver execution errors. Although mission design has traditionally incorporated heuristic safety margins to mitigate the effect of…

Optimization and Control · Mathematics 2025-06-10 Naoya Kumagai , Kenshiro Oguri

We study the propagation of mildly-relativistic cosmic rays (CRs) in multiphase interstellar medium environments with conditions typical of nearby disk galaxies. We employ the techniques developed in Armillotta+21 to post-process three…

Astrophysics of Galaxies · Physics 2022-05-04 Lucia Armillotta , Eve C. Ostriker , Yan-Fei Jiang

This paper presents a unified framework for uncertainty propagation in dynamical systems involving hybrid aleatory and epistemic uncertainties. The framework accommodates precise probabilistic, imprecise probabilistic, and non-probabilistic…

Methodology · Statistics 2025-09-12 Yi Luo , Meng-Ze Lyu , Matteo Broggi , Marko Thiele , Vasileios C. Fragkoulis , Michael Beer

In 2022 the DART mission spacecraft impacted the asteroid Dimorphos, the secondary body of the binary Didymos system, ejecting a large number of dust particles, rocks and boulders. The ESA Hera mission will reach the system in 2026 for…

Earth and Planetary Astrophysics · Physics 2024-02-08 Krzysztof Langner , Francesco Marzari , Alessandro Rossi , Giovanni Zanotti

With the number of small Unmanned Aircraft Systems (sUAS) in the national airspace projected to increase in the next few years, there is growing interest in a traffic management system capable of handling the demands of this aviation…

Robotics · Computer Science 2019-11-07 Andrew W. Berning , Anouck Girard , Ilya Kolmanovsky , Sarah N. D'Souza

Development of robust dynamical systems and networks such as autonomous aircraft systems capable of accomplishing complex missions faces challenges due to the dynamically evolving uncertainties coming from model uncertainties, necessity to…

We study stochastic dynamical systems in settings where only partial statistical information about the noise is available, e.g., in the form of a limited number of noise realizations. Such systems are particularly challenging to analyze and…

Optimization and Control · Mathematics 2023-04-06 Liviu Aolaritei , Nicolas Lanzetti , Florian Dörfler