Beside its GPS tracking receiver the German geoscience satellite CHAMP is equipped with on-board instruments for measuring the acceleration due to non-conservative forces as well as the attitude of the satellite body. This considerably simplifies the treatment of the equations of motion inside the orbit parameter adjustment program EPOS-OC used at the GeoForschungsZentrum Potsdam (GFZ) for CHAMP orbit determination. Models for air drag, solar radiation pressure and earth albedo are no longer necessary for integrating the dynamic equation of the spacecraft. The same applies to a CHAMP attitude model. The orbit of CHAMP is computed from on-board GPS measurements and evaluated by SLR data. Basically three different algorithmic approaches are employed: The fully dynamic approach, the kinematic technique and the mixed kinematic/dynamic approach. These three methods will be intercompared with respect to processing time, storage space and the precision of the estimated orbits and the best application of each technique for the generation of the various CHAMP related products.