0000000000433163

AUTHOR

José Martínez Alfaro

showing 2 related works from this author

Periodic Orbits in the Isosceles Three-Body Problem

1991

The Saturn’s satellites Janus and Epimetheus are the first known bodies in the Solar System that has horseshoe orbits in a frame that rotates with uniform angular velocity. Both satellites have similar masses and orbital elements when they are far from one another. Moreover, their orbits are nearly symmetric. In fact, in the past, they have been identify as a unique satellite and afterwards, some mathematical theories about their orbits has been necessaries to understand why they do not collide. In particular, the interest in planar three-body problem with two small masses has increased6. We assume that the two small masses have similar symmetric initial conditions. The aim of this paper is…

CombinatoricsPhysicsComputer Science::Information RetrievalIsosceles trianglePeriodic orbitsMotion (geometry)Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Three-body problem
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Invariants of transverse foliations

2012

Abstract We construct two invariants for a pair of transverse one-dimensional foliations on the plane. If the set of separatrices is Hausdorff in the space of leaves, the invariant is a distinguished graph. In case there are a finite number of separatrices the invariant is an indexed link.

Transverse planePure mathematicsMathematics::Dynamical SystemsPlane foliationsInvariants of foliationsMathematical analysisPhysics::Space PhysicsHausdorff spaceTransverse foliationsGeometry and TopologyInvariant (mathematics)Finite setMathematicsTopology and its Applications
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