Lagrange motions
                    stability study 
  by L. EL Bakkali (Faculte des sciences B.P. 2121 Tetouan Maroc)
  and C. Marchal (ONERA B.P. 72 F-92322 Chatillon )



            Key terms:
Lagrangian motion, Three-body problem, Resonance, Critical zones,
Stability, Instability

            Abstract:
In this Three body Lagrangian problem, the results are very different
according the case of interest.
The circular restricted problem is entirely solved (planar case) or
almost entirely solved (three-dimensional case).
In the non-restricted case (three positive masses) and/or non-circular
case (elliptical motions) only the main results are obtained: critical
zones, third order resonances.
The elliptical and three-dimensional case has a general fourth-order
resonance that threat to destroy the stability in a large part of the
critical zones.