2001/11/01 by Jaume Llibre, Mercè Ollé · 2 citations
Engineering · Physics and Astronomy · #Spacecraft Dynamics and Control #Astro and Planetary Science #Space Satellite Systems and Control #Physics #Three-body problem #Celestial mechanics #Lagrangian point #Saturn #Motion (physics) #Janus #Planar #Periodic orbits #Classical mechanics #Astrophysics #Astronomy #Horseshoe (symbol) #Constant (computer programming) #Planet
paper · pdf · doi:10.1051/0004-6361:20011274
openalex publication_date 2001/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
This paper provides a description of the motion of Saturn coorbital satellites Janus and Epimetheus by means of horseshoe periodic orbits in the framework of the planar restricted three-body problem for the mass parameter . The mechanism of existence of such orbits for any value of and the Jacobi constant C close to , L3 being an adequate collinear equilibrium point, is analyzed from two different points of view and a systematic way to compute the horseshoe periodic orbits is also described.