Possibility of collision between co-orbital asteroids and the Earth

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Data

2005-04-01

Autores

Domingos, R. C.
Winter, O. C. [UNESP]

Título da Revista

ISSN da Revista

Título de Volume

Editor

Sociedade Brasileira de Matemática Aplicada e Computacional

Resumo

Considering hypothetical co-orbital asteroids with the Earth, Tatum (1997) presented a study about the necessary radial distance in order to produce collision. He adopted an analysis considering a composition of circular two-body systems, Sun-Earth and Sun-Asteroid. He found that asteroids with radial positions between 0.9943 and 1.0057 AU would necessarily collide with the Earth. In the present work, we show that this problem cannot be treated in this way. Adopting the circular restricted three-body problem, we verified that asteroids in the supposed region of collision with the Earth have stable horseshoe trajectories. Therefore, in the co-orbital region the dynamical system has to be studied as a restricted three-body problem since the composition of two-body problems gives a misleading result.

Descrição

Palavras-chave

co-orbital, collision, Earth, asteroid

Como citar

Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 24, n. 1, p. 99-107, 2005.