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This paper introduces a novel Monte Carlo (MC) method to simulate the evolution of the low-earth orbit environment, enhancing the MIT Orbital Capacity Analysis Tool (MOCAT). In recent decades, numerous space environment models have been…

Earth and Planetary Astrophysics · Physics 2024-10-15 Daniel Jang , Davide Gusmini , Peng Mun Siew , Andrea D'Ambrosio , Simone Servadio , Pablo Machuca , Richard Linares

In this paper we address the problem of computing a preliminary orbit of a celestial body from one topocentric position vector and a very short arc (VSA) of optical observations. Using the conservation laws of the two-body dynamics, we…

Mathematical Physics · Physics 2023-12-25 Erica Scantamburlo , Giovanni F. Gronchi , Giulio Baù

Since the late 1950s, when the first artificial satellite was launched, the number of Resident Space Objects has steadily increased. It is estimated that around one million objects larger than one cm are currently orbiting the Earth, with…

Earth and Planetary Astrophysics · Physics 2024-07-30 Francisco Caldas , Cláudia Soares

Autonomous exploration of unknown environments with aerial vehicles remains a challenge, especially in perceptually degraded conditions. Dust, fog, or a lack of visual or LiDAR-based features results in severe difficulties for state…

This letter presents an effective method for assessing the feasibility of detecting ocean ships using spaceborne synthetic aperture radar (SAR). The technique employs the minimum detectable radar cross-section criterion under specified…

Signal Processing · Electrical Eng. & Systems 2025-06-18 Anatolii Kononov

Asteroids have called the attention of researchers around the world. Its chemical and physical composition can give us important information about the formation of our Solar System. In addition, the hypothesis of mining some of these…

Earth and Planetary Astrophysics · Physics 2023-07-18 Bruno Chagas , Antonio F. B. de A. Prado , Othon C. Winter

We consider geometric collision-detection problems for modular reconfigurable robots. Assuming the nodes (modules) are connected squares on a grid, we investigate the complexity of deciding whether collisions may occur, or can be avoided,…

Computational Geometry · Computer Science 2023-05-03 Siddharth Gupta , Marc van Kreveld , Othon Michail , Andreas Padalkin

We demonstrate that accurate computation of the spectral proper orthogonal decomposition (SPOD) critically depends on the choice of frequency resolution. Using both artificially generated data and large-eddy simulation data of a turbulent…

Fluid Dynamics · Physics 2024-02-27 Liam Heidt , Tim Colonius

To operate reactively in uncertain environments, robots need to be able to quickly estimate the risk that they will collide with their environment. This ability is important for both planning (to ensure that plans maintain acceptable levels…

Robotics · Computer Science 2020-03-18 Charles Dawson , Andreas Hofmann , Brian Williams

In the first paper of this series we examined existing methods of optical meteor trajectory estimation and developed a novel method which simultaneously uses both the geometry and the dynamics of meteors to constrain their trajectories. We…

Earth and Planetary Astrophysics · Physics 2020-01-08 Denis Vida , Peter G. Brown , Margaret Campbell-Brown , Paul Wiegert , Peter S. Gural

A novel fast multi-impulse optimization method for long-duration perturbed orbit rendezvous is proposed. First, based on the analytically estimated impulses, the terminal rendezvous deviation with precise dynamics model can be predicted.…

Chaotic Dynamics · Physics 2021-08-11 An-yi Huang , Ya-zhong Luo , Heng-nian Li

The Earth is impacted by 35-40 metre-scale objects every year. These meteoroids are the low mass end of impactors that can do damage on the ground. Despite this they are very poorly surveyed and characterised, too infrequent for ground…

The problem of origin and age of asteroid families is studied very intensively. First of all youngest families are interesting due to possibility of the reconstruction their collisional history. But in oldest families present objects with…

Earth and Planetary Astrophysics · Physics 2015-09-16 Alexey Rosaev

This paper presents an analytical model for collision probability assessments between de-orbiting or injecting space objects and satellite constellations. Considering the first to be subjected to a continuous tangential acceleration, its…

Instrumentation and Methods for Astrophysics · Physics 2023-05-15 Eduardo Maria Polli , Juan Luis Gonzalo , Camilla Colombo

In orbital mechanics, Gauss's method for orbit determination (OD) is a popular, minimal assumption solution for obtaining the initial state estimate of a passing resident space object (RSO). Since much of the cislunar domain relies on…

Earth and Planetary Astrophysics · Physics 2026-02-23 Ishan Paranjape , Tarun Hejmadi , Suman Chakravorty

We focus on preventing collisions between debris and debris, for which there is no current, effective mitigation strategy. We investigate the feasibility of using a medium-powered (5 kW) ground-based laser combined with a ground-based…

Space Physics · Physics 2015-05-27 James Mason , Jan Stupl , William Marshall , Creon Levit

The minimum distance of a code is an important concept in information theory. Hence, computing the minimum distance of a code with a minimum computational cost is a crucial process to many problems in this area. In this paper, we present…

Information Theory · Computer Science 2024-05-01 Fernando Hernando , Francisco D. Igual , Gregorio Quintana-Ortí

Problem of meteor orbit determination for a given parent body is discussed. Some of the published methods for obtaining meteoroid's orbital elements at the moment of intersecting Earth's orbit on the basis of geometrical variation of parent…

Astrophysics · Physics 2007-05-23 Jozef Klacka

One often-used approximation in the study of binary compact objects (i.e., black holes and neutron stars) in general relativity is the instantaneously circular orbit assumption. This approximation has been used extensively, from the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mark Miller

Orbital debris is a pressing problem which presents a danger to global space operations and a barrier to continued development of the space economy and space infrastructure. As research continues regarding orbital debris, there is a need…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Asaad S. Abdul-Hamid , Hao Chen