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The Melnikov Analysis of the Pitch Dynamics of a Gravity Gradient Satellite

중력구배 인공위성의 Pitch운동의 Melnikov해석

  • 이목인 (울산대학교 기계자동차공학부)
  • Published : 2009.12.01

Abstract

The pitch motion of a generic gravity gradient satellite is investigated in terms of chaos. The Melnikov method is used for detecting the onset of chaotic behavior of the pitch motion of a gravity gradient satellite. The Melnikov method determines the distance between stable and unstable manifolds of a perturbed system. When stable and unstable manifolds transverse on the Poincare section, the resulting motion can be chaotic. The Melnikov analysis indicates that the pitch dynamics of a generic gravity gradient satellite can be chaotic when the orbit eccentricity is small.

Keywords

Gravity Gradient Satellite;Chaos;Homoclinic/Heteroclinic Orbits;Melnikov Analysis

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