PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS OF THE HOMOGENEOUS ROTATING GRAVITATING TRIAXIAL ELLIPSOID

VOLODYMYR A. ROMANOV, EUSEBIUS J. DOEDEL
2012 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
The massive straight segment, rotating around the axis perpendicular to its center, is a simple alternative for more precise and sophisticated models that take into account the shape and mass density of natural asteroids. In this article we give numerical results for the families of periodic orbits that emanate from the five libration points of massive straight segment, and for some secondary bifurcating families. Possible application and extension of the results to research on the motion of
more » ... on the motion of satellites near small irregular-shaped celestial bodies is also discussed. The numerical continuation and bifurcation algorithms we use in our study are based on boundary value techniques, as implemented in AUTO.
doi:10.1142/s0218127412300352 fatcat:gj5wstcwvjaelatzwtmiu4y4ty