%0 Book Section
%@nexthigherunit 8JMKD3MGPCW/444BQ9E
%3 INPE-9542.pdf
%X The sensitive dependence on initial condition, which is the hallmark of chaos, has been exploited both theoretically and experimentally in the guidance of spacecraft. In general, chaos in a physical system implies accessibility to a wide range of system behaviors without requiring large perturbation. Thus, a chaotic trajectory can be used to accomplish interplanetary transfer operations expending very small amount of fuel. Besides the property of ""sensitive dependence on initial condition, a chaotic invariant set has a dense set of unstable periodic orbits embedded in it. The well-known chaos control techniques use these orbits to stabilize chaotic trajectories. The purpose of this work is to show that the chaos control techniques can be used to efficiently keep a spacecraft around another body performing elaborate orbits. We consider a satellite and spacecraft moving initially in coplanar and circular orbits, with slightly different radii, around heavy central planet. The spacecraft, which is the inner body, has a slightly larger angular velocity than the satellite so that, after some time, they eventually go to a situation in which the distance between them becomes sufficiently small, so that they start to interact with one another. Considering this situation, we show that chaos control technique based on the OGY method can be used to keep the spacecraft in a desired orbit about a satellite. We also analyze the results and make considerations regarding a realistic scenario of space exploration.
%@secondarydate 20021213
%E Winter, Othon Cabo,
%E Prado, Antonio Fernando Bertachini de Almeida.,
%T Using control of chaos to control orbita motion in a hill problem
%S Advances in space dynamics 2: applications in astronomy
%@format ISBN 85-17-00005-6
%@secondarytype PRE LN
%K ENGENHARIA E TECNOLOGIA ESPACIAL, chaos, control orbits, hill method.
%B Advances in space dynamics 2: applications in astronomy
%@usergroup administrator
%@group LIT-INPE-MCT-BR
%C São José dos Campos
%@secondarykey INPE-9542-PRE/5195
%F 10470
%2 sid.inpe.br/iris@1905/2005/08.04.02.11.27
%I INPE
%P 251-262
%4 sid.inpe.br/iris@1905/2005/08.04.02.11
%D 2002
%@documentstage not transferred
%A Macau, Elbert Einstein Neher,
%@area ETES
%@holdercode {isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S}