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Asteroid diameters are traditionally difficult to estimate. When a direct measurement of the diameter cannot be made through either occultation or direct radar observation, the most common method is to approximate the diameter from infrared…

Earth and Planetary Astrophysics · Physics 2023-05-29 Zachary Murray

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

We present a procedure for determination of positions and orbital elements, and associated uncertainties, of outer Solar System planets. The orbit-fitting procedure is greatly streamlined compared to traditional methods because acceleration…

Astrophysics · Physics 2009-10-31 G. Bernstein , B. Khushalani

ESA and NASA maintain asteroid hazard lists that contain all known asteroids with a non zero chance of colliding with the Earth in the future. Some software tools exist that are, either, capable of calculating the impact points of those…

Earth and Planetary Astrophysics · Physics 2016-08-25 Clemens M. Rumpf , Hugh G. Lewis , Peter M. Atkinson

The knowledge of the orbit or the ephemeris uncertainty of asteroid presents a particular interest for various purposes. These quantities are for instance useful for recovering asteroids, for identifying lost asteroids or for planning…

Earth and Planetary Astrophysics · Physics 2015-06-15 Josselin Desmars , David Bancelin , Daniel Hestroffer , William Thuillot

Hazardous asteroid has been one of the concerns for humankind as fallen asteroid on earth could cost a huge impact on the society.Monitoring these objects could help predict future impact events, but such efforts are hindered by the large…

Earth and Planetary Astrophysics · Physics 2024-09-05 Thai Duy Quy , Alvin Buana , Josh Lee , Rakha Asyrofi

We propose a densification algorithm to improve the Line Of Variations (LOV) method for impact monitoring, which can fail when the information is too little, as it may happen in difficult cases. The LOV method uses a 1-dimensional sampling…

Instrumentation and Methods for Astrophysics · Physics 2020-07-07 A. Del Vigna , F. Guerra , G. B. Valsecchi

The minimum orbital intersection distance is used as a measure to assess potential close approaches and collision risks between astronomical objects. Methods to calculate this quantity have been proposed in several previous publications.…

Instrumentation and Methods for Astrophysics · Physics 2019-12-25 José Manuel Hedo , Elena Fantino , Manuel Ruíz , Jesús Pelaez

We describe a new iteration method to estimate asteroid coordinates, which is based on the subpixel Gaussian model of a discrete object image. The method operates by continuous parameters (asteroid coordinates) in a discrete observational…

Estimating the probability of collision between spacecraft is crucial for risk management and collision-avoidance strategies. Current methods often rely on Gaussian assumptions and simplifications, which can be inaccurate in highly…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Théo Verhelst , Giacomo Acciarini , Dario Izzo , Francesco Biscani

Asteroid 2009 FD could impact Earth between 2185 and 2196. The long term propagation to the possible impacts and the intervening planetary encounters make 2009 FD one of the most challenging asteroids in terms of hazard assessment. To…

Earth and Planetary Astrophysics · Physics 2015-06-22 F. Spoto , A. Milani , D. Farnocchia , S. R. Chesley , M. Micheli , G. B. Valsecchi , D. Perna , O. Hainaut

The traditional way of estimating the gravitational field from observed motions of test objects is based on the virial relation between their kinetic and potential energy. We find a more efficient method. It is based on the natural…

Astrophysics · Physics 2009-11-10 Andrei M. Beloborodov , Yuri levin

In this paper we define the a posteriori probability W. This quantity is introduced with the aim of suggesting a reliable interpretation of the actual threat posed by a newly discovered Near Earth Asteroid (NEA), for which impacting orbital…

Space Physics · Physics 2007-05-23 Germano D'Abramo

The bulk density of an asteroid informs us about its interior structure and composition. To constrain the bulk density one needs an estimate for the mass of the asteroid. The mass is estimated by analyzing an asteroid's gravitational…

Earth and Planetary Astrophysics · Physics 2020-01-15 L. Siltala , M. Granvik

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

Construction of the precise shape of an asteroid is critical for spacecraft operations as the gravitational potential is determined by spatial mass distribution. The typical approach to shape determination requires a prolonged mapping phase…

Earth and Planetary Astrophysics · Physics 2022-03-15 Shankar Kulumani , Taeyoung Lee

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

Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident…

Applications · Statistics 2018-08-10 Ítalo Romani de Oliveira , Jeffery Musiak

Estimates for asteroid masses are based on their gravitational perturbations on the orbits of other objects such as Mars, spacecraft, or other asteroids and/or their satellites. In the case of asteroid-asteroid perturbations, this leads to…

Earth and Planetary Astrophysics · Physics 2017-07-26 L. Siltala , M. Granvik

This paper presents an integrated model-learning predictive control scheme for spacecraft orbit-attitude station-keeping in the vicinity of asteroids. The orbiting probe relies on optical and laser navigation while attitude measurements are…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Julio C. Sanchez , Rafael Vazquez , James D. Biggs , Franco Bernelli-Zazzera