THE ORBITAL DYNAMICS OF ARTIFICIAL SATELLITES IN 14:1 RESONANCE

• DOI: 10.22533/at.ed.317212210011

• Palavras-chave: Synchronous Satellites, Orbital Dynamics, Resonance.

• Keywords: Synchronous Satellites, Orbital Dynamics, Resonance.

• Abstract:

  In this work, the orbital dynamics
  of synchronous satellites is studied. The
  considered resonance is 14:1; in other words,
  the satellite completes fourteen revolutions
  while the Earth completes one. In the
  development of the geopotential, the zonal
  harmonic J20 and the tesseral harmonic J1414
  are considered. The order of the dynamical
  system is reduced through successive Mathieu
  transformations and the final system is solved
  by numerical integration. Numerical results
  show the phase space with the libration and
  circulation regions, the time behavior of the
  semi-major axis and the φ2 angle.

• Número de páginas: 15