Possibility of collision between co-orbital asteroids and the Earth



Document title: Possibility of collision between co-orbital asteroids and the Earth
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000267935
ISSN: 1807-0302
Authors: 1
2
Institutions: 1Instituto Nacional de Pesquisas Espaciais, Sao Jose dos Campos, Sao Paulo. Brasil
2Universidade Estadual Paulista "Julio de Mesquita Filho", Grupo de Dinamica Orbital e Planetologia, Guaratingueta, Sao Paulo. Brasil
Year:
Season: Ene-Abr
Volumen: 24
Number: 1
Pages: 99-107
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico, descriptivo
English abstract 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
Disciplines: Matemáticas,
Física y astronomía
Keyword: Matemáticas aplicadas,
Astronomía,
Asteroides,
Colisiones,
Distancia radial,
Planeta Tierra,
Modelos matemáticos
Keyword: Mathematics,
Physics and astronomy,
Applied mathematics,
Astronomy,
Asteroids,
Collisions,
Radial distance,
Earth planet,
Mathematical models
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