Specialized Coordinate Representation for Dynamic Modeling and Orbit Estimation of Geosynchronous Orbits

摘要

This study investigates dynamic modeling and orbit estimation of geosynchronous satellites using traditional andnspecialized orbit representations. Exact nonlinear variational equations for generally perturbed synchronousnelements are developed via Poisson brackets. A hybrid element set is also introduced to avoid numerical sensitivities.nNumerical propagation studies evaluate the precision and accuracy of inertial Cartesian, Keplerian, synchronous,nand hybrid element dynamic models. The suitability of approximating the synchronous element equations of motionnfor small eccentricity and inclination values is assessed. Results show that the hybrid and exact synchronous modelsnare consistent for large and small time steps and are of comparable accuracy to the inertial Cartesian model. Thenhybrid element model is further validated via an estimation analysis that processes multiple nights of experimentalnoptical data of the Tracking and Data Relay Satellite 8. The results show that the hybrid elements are suitable forngeosynchronous dynamic modeling and estimation.