Analytical Determination of Characteristic Exponents

摘要: Abstract An analytical technique for determination of characteristic exponents is developed and applied to the equilibrium solutions in elliptic restricted problem three bodies. The are obtained series form. extension Haupt's theorem employed find transition curves. It shown a class periodic systems that first-order corrections always zero. This known Mathieu's Hill's equations but has evidently not been more general class. curves good agreement small eccentricity with numerical results Danby1 Bennett.2