AbstractMany quite different theories and methods of celestial mechanics are referred to as semi-analytical or semi-numerical. Their common feature is the trade-off of a generality for a computational efficiency. Four main ideas behind semi-analytical theories are identified and reviewed: series contraction, analytical support of numerical integration, piecewise solutions, and numerical evaluation of action-angle variables. The role of numerical analysis tools in analytical theories is briefly discussed.
Semi-Analytical and Semi-Numerical Methods in Celestial Mechanics