Comparison of Statistical Estimation Techniques for Mars Entry, Descent, and Landing Reconstruction
Abstract
Flight data from an entry, descent, and landing sequence can be used to reconstruct the vehicle's trajectory, aerodynamic coefficients, and the atmospheric profile experienced by the vehicle. Past Mars missions have not contained instrumentation that would allow for the separation of uncertainties in the atmosphere and the aerodynamic database. The 2012 Mars Science Laboratory took measurements of the pressure distribution on the aeroshell forebody during entry and allows freestream atmospheric conditions to be partially observable. Methods to estimate the flight performance statistically using onboard measurements are demonstrated here through the use of simulated Mars data. A range of statistical estimators, specifically the extended Kalman filter and unscented Kalman filter, are used to demonstrate which estimator best quantifies the states and the uncertainties in the flight parameters. The techniques demonstrated herein are planned for application to the Mars Science Laboratory flight dataset.
References
[1] , “Entry Data Analysis for Viking Landers 1 and 2,” NASA CR-159388, 1976.
[2] , “Mars Pathfinder Entry, Descent, and Landing Reconstruction,” Journal of Spacecraft and Rockets, Vol. 36, No. 3, 1999, pp. 357–366. doi:https://doi.org/10.2514/2.3478 JSCRAG 0022-4650
[3] , “Entry Descent and Landing Trajectory and Atmosphere Reconstruction for the Mars Exploration Rovers Missions A and B,” George Washington Univ., NASA-Jet Propulsion Lab. TR-CCNS20568F, Washington, DC, 2008.
[4] , “Entry, Descent, and Landing Performance of the Mars Phoenix Lander,” Journal of Spacecraft and Rockets, Vol. 48, No. 5, 2011, pp. 798–808.doi:https://doi.org/10.2514/1.48239 JSCRAG 0022-4650
[5] , “Mars Phoenix Entry, Descent, and Landing Trajectory and Atmosphere Reconstruction,” Journal of Spacecraft and Rockets, Vol. 48, No. 5, 2011, pp. 809–821.doi:https://doi.org/10.2514/1.46274 JSCRAG 0022-4650
[6] , “Analysis of Entry Accelerometer Data: A Case Study of Mars Pathfinder,” Planetary and Space Science, Vol. 51, Nos. 9–10, 2003, pp. 541–561. doi:https://doi.org/10.1016/S0032-0633(03)00077-1 PLSSAE 0032-0633
[7] , “Atmospheric Entry Profiles from the Mars Exploration Rovers Spirit and Opportunity,” Icarus, Vol. 185, No. 1, 2006, pp. 133–142. doi:https://doi.org/10.1016/j.icarus.2006.06.013 ICRSA5 0019-1035
[8] , “The Phoenix Atmospheric Structure Experiment (ASE): Data Processing and Scientific Results,” 7th International Planetary Probe Workshop,
Barcelona, Spain , 2010.[9] , “Mars Science Laboratory Simulations for Entry, Descent, and Landing,” Journal of Spacecraft and Rockets, Vol. 43, No. 2, 2006, pp. 311–323.doi:https://doi.org/10.2514/1.19649 JSCRAG 0022-4650
[10] , Dynamics of Atmospheric Re-Entry, AIAA, Reston, VA, 1993, pp. 179–280.
[11] , “Design and Reconstruction of the Viking Lander Descent Trajectories,” Journal of Guidance and Control, Vol. 1, No. 5, 1978, pp. 372–378. doi:https://doi.org/10.2514/3.55795 JGCODS 0162-3192
[12] , “The Mars Pathfinder Atmospheric Structure Investigation/Meteorology (ASI/MET) Experiment,” Science, Vol. 278, No. 5344, 1997, pp. 1752–1758. doi:https://doi.org/10.1126/science.278.5344.1752 SCIEAS 0036-8075
[13] , “Mars Pathfinder Entry Temperature Data, Aerothermal Heating, and Heatshield Material Response,” Journal of Spacecraft and Rockets, Vol. 36, No. 3, 1999, pp. 380–391.doi:https://doi.org/10.2514/2.3457 JSCRAG 0022-4650
[14] , “Overview of the MEDLI Project,” IEEE Aerospace Conference Proceedings, IEEE, Big Sky, MT, 2008.
[15] , “Use of Entry Vehicle Response to Define the Properties of the Mars Atmosphere,” NASA TM-X-56125, 1965.
[16] , “Trajectory, Atmosphere, and Wind Reconstruction from Viking Measurements,” American Astronautical Society Paper 75-068, 1975.
[17] , “Determination of the Hypersonic-Continuum/Rarefied-Flow Drag Coefficient of the Viking Lander Capsule 1 Aeroshell from Flight Data,” NASA TP-1793, 1980.
[18] , “Innovative Air Data System for the Space Shuttle Orbiter,” Journal of Spacecraft and Rockets, Vol. 20, No. 1, 1983, pp. 61–69. doi:https://doi.org/10.2514/3.28357 JSCRAG 0022-4650
[19] , “Aerothermodynamic Design of the Mars Science Laboratory Heatshield,” AIAA Paper 2009-4075, 2009.
[20] , “An Inverse Parameter Estimation Methodology for the Analysis of Aeroheating and Thermal Protection System Experimental Data,” AIAA Paper 2011-4027, 2011.
[21] , “Program To Optimize Simulated Trajectories (POST II): Utilization Manual,” Vol. 2, Ver. 1.1.6.G., 2004.
[22] , “Statistical Reconstruction of Mars Entry, Descent, and Landing Trajectories and Atmospheric Profiles,” AIAA Paper 2007-6192, 2007.
[23] , “Mars Entry, Descent, and Landing Trajectory and Atmosphere Reconstruction,” AIAA Paper 2010-1210, 2010.
[24] , “Statistical Entry, Descent and Landing Performance Reconstruction of the Mars Phoenix Lander,” 8th International Planetary Probe Workshop,
Portsmouth, VA , 2011.[25] , “Mars Entry Atmospheric Data System Modeling and Algorithm Development,” AIAA Paper 2009-3916, 2009.
[26] , “Reconstruction of the Spirit Mars Exploration Rover Entry, Descent and Landing Performance,” International Atmospheric Reentry Association Days Proceedings 3-2008-16, 2008.
[27] , “A Comparison of Multiple Techniques for the Reconstruction of Entry, Descent, and Landing Trajectories and Atmospheres,” Ph.D. Dissertation, Dept. of Aerospace Engineering, Georgia Inst. of Technology, Atlanta, GA, 2011.
[28] , “A New Method for the Nonlinear Transformation of Means and Covariances in Filters and Estimators,” IEEE Transactions on Automatic Control, Vol. 45, No. 3, 2000, pp. 477–482. doi:https://doi.org/10.1109/9.847726 IETAA9 0018-9286
[29] , Hypersonic and Planetary Entry Flight Mechanics, Univ. of Michigan Press, Ann Arbor, MI, 1980, pp. 100–107.
[30] , Dynamics of Atmospheric Flight, Dover, Meneola, NY, 2000, pp. 104–120.
[31] , Quaternions and Rotation Sequences, Princeton Univ. Press, Princeton, NJ, 1999, pp. 155–176.
[32] , Stochastic Processes and Filtering Theory, Academic Press, San Diego, CA, 1970, pp. 194–329.
[33] , Statistical Orbit Determination, Elsevier, Burlington, MA, 2004, pp. 199–210.
[34] , Fundamentals of Kalman Filtering, A Practical Approach, AIAA, Reston, VA, 2000, pp. 257–292.
[35] , Optimal State Estimation, Wiley-Interscience, Hoboken, NJ, 2006, pp. 433–460.
[36] , “Sigma Point Filtering for Sequential Orbit Estimation and Prediction,” Journal of Spacecraft and Rockets, Vol. 44, No. 2, 2007, pp. 388–398. doi:https://doi.org/10.2514/1.20702 JSCRAG 0022-4650
[37] , “New Developments in State Estimation for Nonlinear Systems,” Automatica, Vol. 36, No. 11, 2000, pp. 1627–1638. doi:https://doi.org/10.1016/S0005-1098(00)00089-3 ATCAA9 0005-1098
[38] , “The Optimum Linear Smoothers as a Combination of Two Optimum Linear Filters,” IEEE Transactions on Automatic Control, Vol. 14, No. 8, 1969, pp. 387–390.doi:https://doi.org/10.1109/TAC.1969.1099196 IETAA9 0018-9286
[39] , “The Iterated Kalman Smoother as a Gauss–Newton Method,” SIAM Journal on Optimization, Vol. 4, No. 3, 1994, pp. 626–636. doi:https://doi.org/10.1137/0804035 SJOPE8 1095-7189