Differential geometrical integration algorithms

This report describes the present status of the ongoing research in the field of differential geometric numerical methods done within the project Optimization of Missile Performance. These methods will play an essential role in future guidance and simulation of missiles and missile systems, e.g. for strapdown navigation systems. Accurate numerical solution of the equations of motion is important for complicated motions or long simulation times. Most of the contents of the present report has already been described in the report FOA-R--00-01627-314--SE Optimization of missile performance: nonlinear system theory, chapter 6 of which constitutes a preliminary version of the present report.