Accession Number : ADA079683


Title :   Application and Comparison of Stable Periodic Orbits in the Vicinity of Lagrangian Points L4 and L5 to a Four-Body Truth Model.


Descriptive Note : Master's thesis,


Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING


Personal Author(s) : Beekman,William D


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA079683


Report Date : Dec 1979


Pagination or Media Count : 127


Abstract : All previously discovered stable periodic orbits about the triangular libration points are tested on a planar restricted four-body truth model. The truth model is an algorithm developed from equations used by T.A. Heppenheimer for colony location used perturbation theory and the equation of the center. Only one of the orbits, developed by Wheeler using a very restricted four-body problem with Sun - Moon - Earth circular motion, is found to be relatively stable for at least twenty years. It is prograde about L4 having a period in resonance with the lunar synodic month. Two other orbits, one similar to Wheeler's and one 180 degrees out of phase found by Kolenkiewicz and Carpenter are marginally stable.


Descriptors :   *ORBITS , MATHEMATICAL MODELS , STABILITY , EQUATIONS OF MOTION , THESES , DRIFT , GRAVITY , EARTH(PLANET) , SPACE STATIONS , MOON , SUN


Subject Categories : Spacecraft Trajectories and Reentry


Distribution Statement : APPROVED FOR PUBLIC RELEASE