6533b860fe1ef96bd12c37c4
RESEARCH PRODUCT
Classes of orbits in the main problem of satellite theory
J. Martínez AlfaroV. Reglerosubject
PhysicsApplied MathematicsMotion (geometry)Astronomy and AstrophysicsCollisionCelestial mechanicsComputational MathematicsLevel setClassical mechanicsSpace and Planetary ScienceModeling and SimulationOrbit (dynamics)SatellitePolar planeMathematical PhysicsEnergy (signal processing)description
We consider the main problem in satellite theory restricted to the polar plane. For suitable values of the energy the system has two unstable periodic orbits. We classify the trajectories in terms of their ultimate behavior with respect these periodic orbits in: oscillating, asymptotic and capture orbits. We study the energy level set and the existence and properties of the mentioned types of motion.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1986-02-01 | Celestial Mechanics |