Minimum orbital intersection distance: asymptotic approach

Hedo Rodriguez, Jose Manuel and Fantino, Elena and Ruiz Delgado, Manuel and Pelaez Alvarez, Jesus (2019). Minimum orbital intersection distance: asymptotic approach. "Astronomy & Astrophysics", v. A22 ; ISSN 1432-0746.


Title: Minimum orbital intersection distance: asymptotic approach
  • Hedo Rodriguez, Jose Manuel
  • Fantino, Elena
  • Ruiz Delgado, Manuel
  • Pelaez Alvarez, Jesus
Item Type: Article
Título de Revista/Publicación: Astronomy & Astrophysics
Date: 2019
ISSN: 1432-0746
Volume: A22
Freetext Keywords: Minor planets, asteroids: general; methods: numerical; Celestial mechanics
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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. The most frequent case is that in which both objects have elliptical osculating orbits. When at least one of the two orbits has low eccentricity, the latter can be used as a small parameter in an asymptotic power series expansion. The resulting approximation can be exploited to speed up the computation with negligible cost in terms of accuracy. This contribution introduces two asymptotic procedures into the SDG-MOID method presented in a previous article, it discusses the results of performance tests and their comparisons with previous findings. The best approximate procedure yields a reduction of 40% in computing speed without degrading the accuracy of the determinations. This remarkable result suggests that large benefits can be obtained in applications involving massive distance computations, such as in the analysis of large databases, in Monte Carlo simulations for impact risk assessment or in the long-time monitoring of the MOID between two objects

Funding Projects

Government of SpainESP2017-87271-PUnspecifiedUnspecifiedAnálisis dinámico de misiones interplanetarias complejas

More information

Item ID: 67853
DC Identifier:
OAI Identifier:
DOI: 10.1051/0004-6361/201936502
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 20 Dec 2021 11:23
Last Modified: 20 Dec 2021 11:23
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