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Related papers: Improved orbit predictions using two-line elements

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The availability of accurate and timely state predictions for objects in near-Earth orbits is becoming increasingly important due to the growing congestion in key orbital regimes. The Two-line Element Set (TLE) catalogue remains, to this…

Earth and Planetary Astrophysics · Physics 2024-12-23 Max I. Hallgarten La Casta , Davide Amato

Two-line elements are widely used for space operations to predict the orbit with a moderate accuracy for 2-3 days. Local optimization methods, such as the nonlinear least squares method with differential corrections, can estimate a TLE as…

Space Physics · Physics 2019-06-04 Rasit Abay , Sudantha Balage , Melrose Brown , Russell Boyce

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 exponential increase in orbital debris and active satellites will lead to congested orbits, necessitating more frequent collision avoidance maneuvers by satellites. To minimize fuel consumption while ensuring the safety of satellites,…

Systems and Control · Electrical Eng. & Systems 2024-12-24 Kanghyun Ryu , Jean-Baptiste Bouvier , Shazaib Lalani , Siegfried Eggl , Negar Mehr

Inaccurate estimates of the thermospheric density are a major source of error in low Earth orbit prediction. To improve orbit prediction, real-time density estimation is required. In this work, we develop a reduced-order dynamic model for…

Space Physics · Physics 2020-04-22 David Gondelach , Richard Linares

Orbital debris poses an escalating threat to space missions and the long-term sustainability of Earth's orbital environment. The literature proposes various approaches for orbital debris remediation, including the use of multiple…

Optimization and Control · Mathematics 2025-12-17 David O. Williams Rogers , Hang Woon Lee

We introduce a new method to perform preliminary orbit determination for space debris on low Earth orbits (LEO). This method works with tracks of radar observations: each track is composed by $n\ge 4$ topocentric position vectors per pass…

Mathematical Physics · Physics 2015-01-30 Giovanni F. Gronchi , Linda Dimare , Davide Bracali Cioci , Helene Ma

The increasing volume of space objects in Earth's orbit presents a significant challenge for Space Situational Awareness (SSA). And in particular, accurate orbit prediction is crucial to anticipate the position and velocity of space…

Machine Learning · Computer Science 2024-09-24 Francisco Caldas , Cláudia Soares

A possible mean to stabilize the LEO debris population is to remove each year 5 heavy debris like spent satellites or launchers stages from that space region. This paper investigates the DeltaV requirement for such a Space Debris Collecting…

Systems and Control · Computer Science 2011-07-04 Max Cerf

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

Neglecting small fragments in space debris evolutionary models can lead to a significant underestimation of the collision risk for operational satellites. However, when scaling down to the millimeter range, the debris population grows to…

Space Physics · Physics 2023-09-08 Lorenzo Giudici , Juan Luis Gonzalo , Camilla Colombo

An analytical formulation for collision avoidance maneuvers involving a spacecraft and a space debris is presented, including solutions for the maximum deviation and minimum collision probability cases. Gauss' planetary equations and…

Instrumentation and Methods for Astrophysics · Physics 2021-04-23 Juan Luis Gonzalo , Camilla Colombo , Pierluigi Di Lizia

The significant expansion of the orbital debris population poses a serious threat to the safety and sustainability of space operations. This paper investigates orbital debris remediation through a constellation of collaborative space-based…

Optimization and Control · Mathematics 2026-03-30 David O. Williams Rogers , Matthew C. Fox , Paul R. Stysley , Hang Woon Lee

A method for the rapid estimation of transfer costs for the removal of debris in low Earth orbit is proposed. Debris objects among a population with similar inclination values are considered. The proposed approximate analysis can provide…

Instrumentation and Methods for Astrophysics · Physics 2020-04-07 Hong-Xin Shen , Lorenzo Casalino

Orbital debris is a nonlinear control problem in a stratified orbital environment, not a static inventory. This paper develops a reduced-order shell-and-size framework that connects collision-rate scaling, fragment-production gain, natural…

Instrumentation and Methods for Astrophysics · Physics 2026-05-28 Slava G. Turyshev

The presence of debris in Earth's orbit poses a significant risk to human activity in outer space. This debris population continues to grow due to ground launches, loss of external parts from space ships, and uncontrollable collisions…

Earth and Planetary Astrophysics · Physics 2023-01-11 John Jurkiewicz , Peter Hinow

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

Approaching a tumbling target safely is a critical challenge in space debris removal missions utilizing robotic manipulators onboard servicing satellites. In this work, we propose a trajectory planning method based on nonlinear optimization…

Robotics · Computer Science 2025-12-29 Kenta Iizuka , Akiyoshi Uchida , Kentaro Uno , Kazuya Yoshida

The amount of debris in orbit has increased significantly over the years. With the recent growth of interest in space exploration, conjunction assessment has become a central issue. One important metric to evaluate conjunction risk is the…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Ricardo N. Ferreira , Marta Guimarães , Cláudia Soares

The proliferation of space debris in LEO has become a major concern for the space industry. With the growing interest in space exploration, the prediction of potential collisions between objects in orbit has become a crucial issue. It is…

Earth and Planetary Astrophysics · Physics 2024-12-11 Ricardo Ferreira , Cláudia Soares , Marta Guimarães
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