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Communication Dans Un Congrès Année : 2022

Fast and reliable computation of the instantaneous orbital collision probability

Résumé

This study deals with the computation of the instantaneous collision probability between two Earth-orbiting objects of spherical shape. It is expressed as a three-dimensional integral of a Gaussian density on a Euclidean ball of given radius. We propose a new algorithm to efficiently evaluate this integral. This is an extension of a previously studied 3-D method based on Laplace transform and power series evaluation, combined with a new technique using a saddle-point method. A preliminary comparison study with both a Monte-Carlo method and the previous state-of-the-art highlights the potential of this evaluation method, regarding both its efficiency and reliability.
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Dates et versions

hal-04240944 , version 1 (16-10-2023)

Identifiants

  • HAL Id : hal-04240944 , version 1

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Matthieu Masson, Denis Arzelier, Florent Bréhard, Mioara Joldes. Fast and reliable computation of the instantaneous orbital collision probability. 2nd International Stardust Conference STARCON2, ESA European Space Research and Technology Centre (ESTEC), Nov 2022, Noordwijk, Netherlands. ⟨hal-04240944⟩
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