Accession Number : AD0438857


Title :   ON THE STABILITY OF THE EQUILIBRIUM SOLUTIONS OF THE PLANE RESTRICTED THREE BODY PROBLEM IN THE SENSE OF LIAPOUNOV.


Descriptive Note : Final rept.,


Corporate Author : GENERAL ELECTRIC CO PHILADELPHIA PA MISSILE AND SPACE DIV


Personal Author(s) : Moskowitz,Samuel E


Report Date : Apr 1964


Pagination or Media Count : 28


Abstract : The stability of the five equilibrium solutions of the plane restjicted three body problems is investigated in a topological sense of Liapounov. This aspect of motion has always been a subject of considerable interest primarily because the stability criteria were derived from linearizing the dynamical equations. It is shown that the question cannot be resolved by means of existing theorems governing the first approximation since these cases belong to an exceptional class which Liapounov had termed critical. The stability of the equidistant positions and instability of the collinear solutions are established however in accordance with a less restrictive definition by using surfaces which are formed from the Jacobi integral. (Author)


Descriptors :   *N BODY PROBLEM , *MOTION , TOPOLOGY , STABILITY , INTEGRALS , GRAVITY , SOLUTIONS(MIXTURES) , DIFFERENTIAL EQUATIONS , NUMERICAL METHODS AND PROCEDURES , PERTURBATION THEORY , CONTINUUM MECHANICS , CELESTIAL MECHANICS


Distribution Statement : APPROVED FOR PUBLIC RELEASE