```@Article{FormigaSanFioMorPra:2019:StCoPr,
author = "Formiga, Jorge K. S. and Santos, D. P. S. and Fiore, F. A. and
Moraes, R. V. de and Prado, Antonio Fernando Bertachini de
Almeida",
(UNESP)} and {Universidade Federal de S{\~a}o Paulo (UNIFESP)}
and {Instituto Nacional de Pesquisas Espaciais (INPE)}",
title = "Study of collision probability considering a non-uniform cloud of
space debris",
journal = "Computational and Applied Mathematics",
year = "2019",
volume = "39",
number = "1",
pages = "e21",
keywords = "close approach, orbital maneuver, space debris, space
trajectories.",
abstract = "The present paper aims to study the cumulative collision
probability of a target that crosses a cloud of particles that has
the orbital parameters of each individual element modified by a
close approach with the Earth. Clouds of this type are formed when
natural or man-made bodies explode for some reason. After an
explosion like that, the individual particles have different
trajectories. The clouds are specified by a non-uniform
distribution of semi-major axis and eccentricity of their
particles which are assumed to pass close to the Earth, making a
close approach that modifies the trajectory of every single
particle that belongs to the cloud. This study makes simulations
considering separately two different clouds based on the patched
conics model to obtain the new trajectories of each particle and
to analyze the density of the whole cloud. Then it is possible to
map the new distribution of the orbital elements of the fragments
that constituted the cloud, using the distribution as initial
conditions. After calculating the spatial density for the whole
cloud, it is possible to obtain the cumulative collision
probability for one space vehicle that crosses the cloud. These
pieces of information are important when planning satellite
missions where a spacecraft passes close to a cloud of this type,
because we can determine values to study the risks of collision
and the possible maneuvers that need to be made to avoid them.",
doi = "10.1007/s40314-019-0997-z",
url = "http://dx.doi.org/10.1007/s40314-019-0997-z",
issn = "2238-3603",
language = "en",
targetfile = "

Study_of_Collision_Probability_Considering_Non_Uniform_Cloud_of_Space_Debris.pdf",
urlaccessdate = "01 dez. 2020"
}

```