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Related papers: On the computation of preliminary orbits for space…

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We propose a method to account for the Earth oblateness effect in preliminary orbit determination of satellites in low orbits with radar observations. This method is an improvement of the one described in (Gronchi et al 2015), which uses a…

Space Physics · Physics 2018-10-24 Helene Ma , Giovanni F. Gronchi , Davide Bracali Cioci

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

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

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

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

We present the results of a large scale simulation, reproducing the behavior of a data center for the build-up and maintenance of a complete catalog of space debris in the upper part of the low Earth orbits region (LEO). The purpose is to…

Dynamical Systems · Mathematics 2015-05-28 Andrea Milani , Davide Farnocchia , Linda Dimare , Alessandro Rossi , Fabrizio Bernardi

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

We investigate a method to compute a finite set of preliminary orbits for solar system bodies using the first integrals of the Kepler problem. This method is thought for the applications to the modern sets of astrometric observations, where…

Mathematical Physics · Physics 2010-04-01 Giovanni Federico Gronchi , Linda Dimare , Andrea Milani

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

The first integrals of the Kepler problem are used to compute preliminary orbits starting from two short observed arcs of a celestial body, which may be obtained either by optical or radar observations. We write polynomial equations for…

Mathematical Physics · Physics 2015-05-27 Giovanni F. Gronchi , Davide Farnocchia , Linda Dimare

The density of orbital space debris constitutes an increasing environmental challenge. There are three ways to alleviate the problem: debris mitigation, debris removal and collision avoidance. This paper addresses collision avoidance, by…

Space Physics · Physics 2011-03-10 Creon Levit , William Marshall

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

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

Given a set of astrometric observations of the same object, the problem of orbit determination is to compute the orbit and to assess its uncertainty and reliability. For the next generation surveys, with much larger number density of…

Short-arc orbit determination is crucial when an asteroid is first discovered. In these cases usually the observations are so few that the differential correction procedure may not converge. We have developed an initial orbit computation…

Earth and Planetary Astrophysics · Physics 2018-06-13 F. Spoto , A. Del Vigna , A. Milani , G. Tommei , P. Tanga , F. Mignard , B. Carry , W. Thuillot , P. David

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

We present the results of our investigation on the use of the two-body integrals to compute preliminary orbits by linking too short arcs of observations of celestial bodies. This work introduces a significant improvement with respect to the…

Mathematical Physics · Physics 2020-04-22 Giovanni F. Gronchi , Giulio Bau' , Stefano Maro'

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

We describe systematic ranging, an orbit determination technique especially suitable to assess the near-term Earth impact hazard posed by newly discovered asteroids. For these late warning cases, the time interval covered by the…

Earth and Planetary Astrophysics · Physics 2015-07-15 D. Farnocchia , S. R. Chesley , M. Micheli

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
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