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Estimation of unmodeled forces on a lunar satellite

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Abstract

In previous investigations, a procedure for sequentially estimating the state of a lunar orbiting space vehicle acted upon by unmodeled terms in the lunar potential has been developed. Results obtained by processing tracking data from the Apollo 10 and 11 missions indicate that the algorithm provides more precise estimates of the vehicle state than conventional orbit determination procedures and, hence, provides an accurate input for navigation purposes. The question of the agreement of the estimates with the actual unmodeled accelerations has not been established.

This investigation considers the question of the accuracy with which the algorithm can estimate the acceleration due to unmodeled lunar surface mascons. It is shown that an accurate estimate of the time history of the unmodeled acceleration can be obtained. The investigation also considers the effects of the magnitude and location of the mascons, as well as the effect of the observation accuracy.

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References

  • Berry, R. L., Lineberg, E. C., and Bennett, F. B.: ‘Spacecraft Operational Trajectory for Apollo 13 (Mission H-2)’, Vol. 2, Revision 1, NASA Johnson Spacecraft Center MSC-01894, 1970, pp. 35–36.

  • Doob, J. L.: 1942,Ann. Math. 43, 351–369.

    Google Scholar 

  • Fehlberg, E.: 1968, ‘Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta Formulas with Stepsize Control’, NASA TR R-287.

  • Fitzgerald, R. J.: 1966, ‘Filtering Horizon-Sensor Measurements for Orbital Navigation’,Proc. of AIAA/JACC Guidance and Control Conference, Seattle, Washington, pp. 500–599.

  • Gapcynski, J. P., Blackshear, W. T., and Campton, H. R.: 1968, ‘The Lunar Gravitational Field as Determined from the Tracking Data of the Lunar Orbiter Series of Spacecraft’, AAS/AIAA Astrodynamics Specialist Conference, AAS Paper No. 68-132, Jackson, Wyoming.

  • Hamer, H. A. and Johnson, K. G.: 1969, ‘Effect of Gravitational-Model Selection on the Accuracy of Lunar Orbit Determination from Short Data Arcs’, NASA TN D-5105, Langley Research Center.

  • Ingram, D. S. and Tapley, B. D.: 1974,Celes. Mech. 9, 191–211.

    Google Scholar 

  • Jazwinski, A. H.: 1969,Stochastic Processes and Filtering Theory, Academic Press, New York, pp. 276–277.

    Google Scholar 

  • Miller, R. W.: 1971,AIAA J. 9, 537–539.

    Google Scholar 

  • Muller, P. M. and Sjogren, W. L.: 1969,Appl. Mech. Rev. 22, 9.

    Google Scholar 

  • Potter, J. E. and Decker, J. C.: 1970,J. Control 8, 513–526.

    Google Scholar 

  • Rauch, H. E.: 1965,AIAA J. 3, 717–722.

    Google Scholar 

  • Schlee, F. H., Standish, C. J. and Toda, N. F.: 1967,AIAA J. 5, 1114–1120.

    Google Scholar 

  • Schmidt, S. F.: 1970, ‘Computational Techniques in Kalman Filtering Theory’, in C. L. Leondes (ed.),Theory and Applications of Kalman Filtering, NATO AGARDograph 139, Chapter 3.

  • Sorensen, H. W.: 1966, Kalman Filtering Techniques’, in C. T. Leondes (ed.),Advances in Control Systems, Vol. 3, pp. 219–292.

  • Squires, R. K., Woolston, D. S., and Wolf, H.: 1969, ‘Response of Orbit Determination Systems to Model Errors’, C-643-69-503, Goddard Space Flight Center, Greenbelt, Md.

    Google Scholar 

  • Tapley, B. D. and Ingram, D. S.: 1971, ‘Orbit Determination in the Presence of Unmodeled Accelerations’,IEEE Trans. Auto. Cont. AC-18, 369–373.

    Google Scholar 

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Tapley, B.D., Schutz, B.E. Estimation of unmodeled forces on a lunar satellite. Celestial Mechanics 12, 409–424 (1975). https://doi.org/10.1007/BF01595388

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  • DOI: https://doi.org/10.1007/BF01595388

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