Titlebook: Long-Time Predictions in Dynamics; Proceedings of the N V. Szebehely,B. D. Tapley Conference proceedings 1976 D. Reidel Publishing Company,

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Qualitative Investigation of Almost Separable Hamiltonian System of Two Degrees of Freedomder autonomous problems of two degrees of freedom which are globally almost separable or admit a periodic solution (local almost separability) and which can be reduced to a non-autonomous, periodic system of one degree of freedom (by isoenergetic reduction). In general the a priori given separable o

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Stabilization, Manipulation and Analytic Step Adaptionurbed Keplerian motion are offered: (1) a nonconservative method by asymptotical stabilization of the energy relation, (2) a conservative method by manipulation of the Hamiltonian. In both methods the stabilization is combined with the introduction of a new independent variable in order to achieve a

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On the Interpretation of Least Squares Collocationtwo independent measurement processes, can be combined to obtain an optimal estimate of the parameters. The problem is complicated further when there is apriori information on a subset of the parameters to be estimated. The problem of combining surface measurements of gravitational anamolies with ob

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A Note on Stabilization in Three-Body Regularizationbling the physical time to be obtained explicitly. A new recommendation for stabilizing the equations of motion further is considered briefly. It is concluded that a third type of time transformation, t. = R.R./(R.+R.)., appears to offer the best prospects in practical calculations unless the time i

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Qualitative Methods and Results in Celestial Mechanicscaré, Sundman, Chazy, Khilmi, Merman, Sitnikov, Alexeev etc ….In the n-body problem of Celestial Mechanics very sophisticated results on final evolutions can be obtained qualitatively; there are five main types of final evolution: (A) .. These collisions cannot be regularized in general (as can bina

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On the Characteristic Exponents of the General Three-Body Probleml equations written in Lagrangian form (section 3) rather than the more usual Hamiltonian form. It is shown that the basic property of the matrix of the linearized equations of motion is the skew-symplecticity exhibited in equation (18). This property generates the symplectic property (equation 21,