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This paper considers a new method for the binary asteroid orbit determination problem. The method is based on the Bayesian approach with a global optimisation algorithm. The orbital parameters to be determined are modelled through an a…

Instrumentation and Methods for Astrophysics · Physics 2017-08-31 Irina D. Kovalenko , Radu S. Stoica , Nikolay V. Emelyanov

The computation of the Minimum Orbital Intersection Distance (MOID) is an old, but increasingly relevant problem. Fast and precise methods for MOID computation are needed to select potentially hazardous asteroids from a large catalogue. The…

Earth and Planetary Astrophysics · Physics 2018-06-22 Jose M. Hedo , Manuel Ruiz , Jesus Pelaez

Here we revisit an initial orbit determination method introduced by O. F. Mossotti employing four geocentric sky-plane observations and a linear equation to compute the angular momentum of the observed body. We then extend the method to…

Earth and Planetary Astrophysics · Physics 2021-09-29 Giovanni F. Gronchi , Giulio Baù , Óscar Rodríguez , Robert Jedicke , Joachim Moeyens

In order to avoid collisions with space debris, the near Earth orbit must be continuously scanned by either ground- or spaced-based facilities. For the low Earth orbit, radar telescopes are the workhorse for this task, especially due to…

Instrumentation and Methods for Astrophysics · Physics 2015-01-26 Daniel Hampf , Paul Wagner , Wolfgang Riede

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

Orbit determination of spacecraft in orbit has been mostly dependent on either GNSS satellite signals or ground station telemetry. Both methods present their limitations, however: GNSS signals can only be used effectively in earth orbit,…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Pedro Rocha Cachim , João Gomes , Rodrigo Ventura

A pure two-body problem has seven integrals including the Kepler energy, the Laplace vector, and the angular momentum vector. However, only five of them are independent. When the five independent integrals are preserved, the two other…

Earth and Planetary Astrophysics · Physics 2020-12-02 Yue Chen , Da-Zhu Ma , Fang Xia

We investigate the behaviour of two recent methods for the computation of preliminary orbits. These methods are based on the conservation laws of Kepler's problem, and enable the linkage of very short arcs of optical observations even when…

Earth and Planetary Astrophysics · Physics 2024-01-03 Óscar Rodríguez , Giovanni F. Gronchi , Giulio Baù , Robert Jedicke

In a companion article, we discussed the radiometric sensitivity and resolution of a new passive optical sensing technique, Space-Time Projection Optical Tomography (SPOT), to detect and track sub-cm and larger space debris for Space…

Optics · Physics 2022-11-28 Hasan Bahcivan , David J. Brady

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

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

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

We present a new method for computing orbits in the perturbed two-body problem: the position and velocity vectors of the propagated object in Cartesian coordinates are replaced by eight orbital elements, i.e., constants of the unperturbed…

Classical Physics · Physics 2020-03-11 Giulio Baù , Javier Roa

Several celestial bodies in co-orbital configurations exist in the solar system. However, co-orbital exoplanets have not yet been discovered. This lack may result from a degeneracy between the signal induced by co-orbital planets and other…

Earth and Planetary Astrophysics · Physics 2016-03-28 Adrien Leleu , Philippe Robutel , Alexandre C. M. Correia

The nature and physical properties of asteroids, in particular those orbiting in the near-Earth space, are of scientific interest and practical importance. Exoplanet surveys can be excellent resources to detect asteroids, both already known…

Earth and Planetary Astrophysics · Physics 2020-01-08 M. Cortés-Contreras , F. M. Jiménez-Esteban , M. Mahlke , E. Solano , J. Ďurech , S. Barceló Forteza , C. Rodrigo , A. Velasco , B. Carry

Space debris larger than 1 cm can damage space instruments and impact Earth. The low-Earth orbits (at heights smaller than 2000 km) and orbits near the geostationary- Earth orbit (at 35786 km height) are especially endangered, because most…

Earth and Planetary Astrophysics · Physics 2020-06-10 Judit Slíz-Balogh , Dániel Horváth , Róbert Szabó , Gábor Horváth

In this article, theory-based analytical methodologies of astrophysics employed in the modern era are suitably operated alongside a test research-grade telescope to image and determine the orbit of a near-earth asteroid from original…

Earth and Planetary Astrophysics · Physics 2021-09-16 Muhammad Farae , Cameron Woo , Anka Hu

In the past two decades an increasing interest in discovering Near Earth Objects has been noted in the astronomical community. Dedicated surveys have been operated for data acquisition and processing, resulting in the present discovery of…

Instrumentation and Methods for Astrophysics · Physics 2019-01-10 T. Stefanut , V. Bacu , C. Nandra , D. Balasz , D. Gorgan , O. Vaduvescu

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

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