%0 Book Section
%@nexthigherunit 8JMKD3MGPCW/446AF4B
%3 INPE-9541.pdf
%X The extension of the gravity fields of the Earth and of the Moon affect the impact probabilities of celestial bodies with them. The gravitational attraction can imply on a cross-section larger than the a of the maximum geometrical circle formed by the earth (or Moon). However, this effect depends on the velocity of the body relative to the Earth (or Moon). Following the work of Tatum (1997)we present an analytical model based on the definition of gravity assisted trajectories. The results of this analytical study were compared to fall numerical integration of the planar circular restricted three-body problem. The cross- section from the analytical model are in good agreement with the numerical results,, but always overestimating its radius. From the numerical results we found that for low relative velocities , V, the effective cross-section radius is a few times the geometric cross-section radius. For V=3 km/s the effective radius of Earth's cross-section increases by a factor of 4. In the case of the Moon, for V=1 km/s, the factor is about 2.5.
%@secondarydate 20021213
%E Winter, Othon Cabo,
%E Prado, Antonio Fernando Bertachini de Almeida.,
%T The cross-section of the Earth and of the Moon
%S Advances in space dynamics 2: applications in astronomy
%@format ISBN 85-17-00005-6
%@secondarytype PRE LN
%K ENGENHARIA E TECNOLOGIA ESPACIAL, cross-section, three-body problem.
%B Advances in space dynamics 2: applications in astronomy
%@usergroup administrator
%@group DMC-INPE-MCT-BR
%C São José dos Campos
%@secondarykey INPE-9541-PRE/5194
%F 10469
%2 sid.inpe.br/iris@1905/2005/08.04.02.10.27
%I INPE
%P 25-31
%4 sid.inpe.br/iris@1905/2005/08.04.02.10
%D 2002
%@documentstage not transferred
%A Domingos, Rita de Cássia,
%A Winter, Othon,
%@area ETES
%@holdercode {isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S}