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Satellite Orbit and Ephemeris Determination using Inter Satellite Links

Satellite Orbit and Ephemeris Determination using Inter Satellite Links

Satellite Orbit and Ephemeris Determination using Inter Satellite Links

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Software Description<strong>Inter</strong> <strong>Satellite</strong> <strong>Links</strong>5.2 Real time State EstimationThe real time state estimator requires linearised equations for the state dynamics <strong>and</strong> theobservations. <strong>Orbit</strong> propagation is a highly non linear process, as well as slant ranges are nonlinear observations. Thus, a non linear predictor is needed to derive approximate values forthe state <strong>and</strong> the predicted measurements. This task is performed by the orbit propagatordescribed above.No∆X Update > max<strong>Orbit</strong> PropagatorFilter / Propagator ResetX Initial = X 0 + ∆X Update∆X = 0YesPredicted <strong>Satellite</strong> StateVector X 0Computation of linearizedTransition Matrix ΦTransition of Error StateVector ∆X PredictedComputation of linearizedMeasurement Matrix HCovariance PropagationCovariance Matrix PComputation of PredictedMeasurement z 0Predicted Residualr =∆x - H∆zKalman Gain Matrix K<strong>Satellite</strong> PlatformPropulsion ?YesAdditional NoiseAccounting for PropulsionUncertaintiesTransformation to ECI-J2000Coordinates (if necessary)Measurement ProcessorMeasurement zVarianceTarget ID<strong>Satellite</strong> <strong>Ephemeris</strong>/Station Co-ordinatesDatabaseMeasurement UpdateUpdated Error StateVectorUpdated CovarianceMatrixP U dOutput: Updated <strong>Satellite</strong>StateX = X 0 + ∆X UpdatedFigure 5-2 State Estimation ProcessPage 74R. Wolf

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