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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

We have used an existing, robotic, multi-lens, all-sky camera system, coupled to a dedicated data reduction pipeline, to automatically determine orbital parameters of satellites in Low Earth Orbit (LEO). Each of the fixed cameras has a…

Instrumentation and Methods for Astrophysics · Physics 2020-04-20 T. P. G. Wijnen , R. Stuik , M. Rodenhuis , M. Langbroek , P. Wijnja

Low Earth orbit (LEO) satellites offer a promising alternative to global navigation satellite systems for precise positioning; however, their relatively low altitudes make them more susceptible to orbital perturbations, which in turn…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Jie Ma , Pinjun Zheng , Xing Liu , Yuchen Zhang , Ali A. Nasir , Tareq Y. Al-Naffouri

The main effects of the Earth's oblateness on the motion of artificial satellites are usually derived from the variation of parameters equations of an average representation of the oblateness disturbing function. Rather, we approach their…

Classical Physics · Physics 2022-05-10 Martin Lara

The rapid increase in the deployment of Low Earth Orbit (LEO) satellites, catering to diverse applications such as communication, Earth observation, environmental monitoring, and scientific research, has significantly amplified the…

Computational Engineering, Finance, and Science · Computer Science 2024-11-27 Pranava Seth , Mamta Gulati

The equations governing motion of the satellite under the effect of oblateness of Earth and atmospheric drag have been simulated, for a fixed initial position and three different initial velocities, till satellite collapses on Earth.…

Space Physics · Physics 2020-01-30 Jaita Sharma , B. S. Ratanpal , U. M. Pirzada , Vishant Shah

Due to the importance of satellites for society and the exponential increase in the number of objects in orbit, it is important to accurately determine the state (e.g., position and velocity) of these Resident Space Objects (RSOs) at any…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Ricardo Ferreira , Marta Guimarães , Filipa Valdeira , Cláudia Soares

With the increase in the number of active satellites and space debris in orbit, the problem of initial orbit determination (IOD) becomes increasingly important, demanding a high accuracy. Over the years, different approaches have been…

Optimization and Control · Mathematics 2024-08-07 Ricardo Ferreira , Filipa Valdeira , Marta Guimarães , Cláudia Soares

Low Earth orbit (LEO) satellites are being considered for expanding legacy terrestrial cellular networks. The end users may not be able to optimize satellite orbits and constellations, however, they can optimize locations of ground stations…

Space Physics · Physics 2019-10-25 Iestyn Morgan-Jones , Pavel Loskot

In the domain of Space Situational Awareness (SSA), the challenges pertaining to orbit determination and catalog correlation are notably pronounced, partly attributable to the escalating presence of non-cooperative satellites engaging in…

Space Physics · Physics 2024-04-02 Jose M. Montilla , Jan A. Siminski , Rafael Vazquez

Given the critical roles that satellites play in national defense, public safety, and worldwide communications, finding ways to determine satellite trajectories is a crucially important task for improved space situational awareness.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Rohit Khorana

While building up a catalog of Earth orbiting objects, if the available optical observations are sparse, not deliberate follow ups of specific objects, no orbit determination is possible without previous correlation of observations obtained…

Space Physics · Physics 2015-05-20 A. Milani , G. Tommei , D. Farnocchia , A. Rossi , T. Schildknecht , R. Jehn

With debris larger than 1 cm in size estimated to be over one million, precise cataloging efforts are essential to ensure space operations' safety. Compounding this challenge is the oversubscribed problem, where the sheer volume of space…

Numerical Analysis · Mathematics 2025-03-13 Cristina Parigini , Laura Pirovano , Roberto Armellin , Darren McKnight , Adam Marsh , Tom Reddell

This paper is related to our previous works [1][2] on the error estimate of the averaging technique, for systems with one fast angular variable. In the cited references, a general method (of mixed analytical and numerical type) has been…

Mathematical Physics · Physics 2011-02-22 Carlo Morosi , Livio Pizzocchero

A new Doppler radar initial orbit determination algorithm with embedded uncertainty quantification capabilities is presented. The method is based on a combination of Gauss' and Lambert's solvers. The whole process is carried out in the…

Numerical Analysis · Mathematics 2022-05-02 M. Losacco , R. Armellin , C. Yanez , S. Lizy-Destrez , L. Pirovano , F. Sanfedino

An innovative orbit determination method which makes use of gravity gradients for Low-Earth-Orbiting satellites is proposed. The measurement principle of gravity gradiometry is briefly reviewed and the sources of measurement error are…

Instrumentation and Methods for Astrophysics · Physics 2016-08-12 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

Autonomous orbit determination via integration of epoch-differenced gravity gradients and starlight refraction is proposed in this paper for low-Earth-orbiting satellites operating in GPS-denied environments. The starlight refrac-tion can…

Instrumentation and Methods for Astrophysics · Physics 2017-02-08 Pei Chen , Tengda Sun , Xiucong Sun

We propose two algorithms to provide a full preliminary orbit of an Earth-orbiting object with a number of observations lower than the classical methods, such as those by Laplace and Gauss. The first one is the Virtual debris algorithm,…

Space Physics · Physics 2015-05-14 D. Farnocchia , G. Tommei , A. Milani , A. Rossi

We present a new measurement of the Lense-Thirring effect on the orbits of the geodetic satellites LAGEOS, LAGEOS II and LARES. This secular precession is a general relativity effect produced by the gravitomagnetic field of the Earth…

General Relativity and Quantum Cosmology · Physics 2019-10-07 David M. Lucchesi , Massimo Visco , Roberto Peron , Massimo Bassan , Giuseppe Pucacco , Carmen Pardini , Luciano Anselmo , Carmelo Magnafico

Low Earth Orbit (LEO) satellite communication is a promising solution for global wireless coverage, especially in underserved and remote areas. However, the high relative velocity of LEO satellites induces significant Doppler shifts that…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Islam M. Tanash , Risto Wichman , Nuria Gonzalez-Prelcic
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