Orbit Determination Performance Improvements for High Area-to-Mass Ratio Space Object Tracking Using an Adaptive Gaussian Mixtures Estimation Algorithm

Abstract : Inactive high area-to-mass ratio (HAMR) resident space objects (RSOs) near the geosynchronous orbit (GEO) regime pose a hazard to active GEO RSOs. The combination of solar radiation pressure (SRP) and solar and lunar gravitational perturbations cause variations in the orbit parameters of the inactive RSOs. The high A/m nature of these objects results in greater sensitivity to the SPR reflected in mean motion, inclination and eccentricity. The subsequent drift with respect to Earth-based tracking sites, combined with a temporal orientation agility with respect to the sun, results in an inability to successfully reacquire many of these RSOs as they transition through periods of days to weeks out of view observing sites.

[1]  T. D. Moyer Mathematical formulation of the Double Precision Orbit Determination Program /DPODP/ , 1971 .

[2]  P. Farinella,et al.  Solar radiation pressure perturbations for Earth satellites. 1: A complete theory including penumbra transitions , 1993 .

[3]  A. Jazwinski Stochastic Processes and Filtering Theory , 1970 .

[4]  Moriba Jah,et al.  Analysis of Orbital Prediction Accuracy Improvements Using High Fidelity Physical Solar Radiation Pressure Models for Tracking High Area-to-Mass Ratio Objects , 2009 .

[5]  Puneet Singla,et al.  An Approach for Nonlinear Uncertainty Propagation: Application to Orbital Mechanics , 2009 .

[6]  H. Sorenson,et al.  Nonlinear Bayesian estimation using Gaussian sum approximations , 1972 .

[7]  Oliver Montenbruck,et al.  Satellite Orbits: Models, Methods and Applications , 2000 .

[8]  Puneet Singla,et al.  An adaptive Gaussian sum filter for the spacecraft attitude estimation problem , 2008 .

[9]  P. R. Escobal,et al.  Methods of orbit determination , 1976 .

[10]  B. Tapley,et al.  Statistical Orbit Determination , 2004 .

[11]  S. Sharma,et al.  The Fokker-Planck Equation , 2010 .

[12]  S. Luthcke,et al.  Erratum-Modeling Radiation Forces Acting on Topex/Poseidon for Precision Orbit Determination , 1992 .

[13]  Rudolph van der Merwe,et al.  Sigma-point kalman filters for probabilistic inference in dynamic state-space models , 2004 .

[14]  A. Honkela Approximating nonlinear transformations of probability distributions for nonlinear independent component analysis , 2004, 2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541).

[15]  R. H. Gooding A New Procedure for Orbit Determination Based on Three Lines of Sight (Angles Only) , 1993 .

[16]  Jeffrey K. Uhlmann,et al.  New extension of the Kalman filter to nonlinear systems , 1997, Defense, Security, and Sensing.

[17]  J. Elgin The Fokker-Planck Equation: Methods of Solution and Applications , 1984 .

[18]  G. A. Watson,et al.  IMMPDAF for radar management and tracking benchmark with ECM , 1998 .

[19]  Simo Särkkä,et al.  On Unscented Kalman Filtering for State Estimation of Continuous-Time Nonlinear Systems , 2007, IEEE Trans. Autom. Control..