Daniele Mortari

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Linear Algebra and Debris removal

Linear Algebra Publications

  1. Mortari, D. “On the Rigid Rotation Concept in n-Dimensional Spaces,” AAS The Journal of the Astronautical Sciences, Vol. 49, No. 3, July-September 2001, pp. 401-420.
  2. Mortari, D. “Ortho-Skew and Ortho-Sym Matrix Trigonometry,” AAS The Journal of the Astronautical Sciences, Vol. 52, No. 1 and 2, January-June 2004, pp. 269-279.
  3. Mortari, D., Scuro, R.S., and Bruccoleri, C. “Attitude and Orbit Error in n-Dimensional Spaces,” AAS The Journal of the Astronautical Sciences, Vol. 54, No. 3-4, July-December 2006, pp. 467-484.
  4. Mortari, D. and Avendano, M.E. “Reflection Decomposition of Rotation Matrices,” AAS 13-727, 2013 AAS/AIAA Astrodynamics Specialist Conference, Hilton Head, SC, August 11-15, 2013.
  5. Mortari, D. “n-Dimensional Cross Product and its Application to Matrix Eigenanalysis,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 20, No. 3, May-June 1997, pp. 509-515.
  6. Mortari, D. “The Theory of Connections. Connecting Points,” MDPI Mathematics, 2017, 5, 57.  [arXiv:1702.06862]
  7. Mortari, D. “Least-squares Solutions of Linear Differential Equations,” MDPI Mathematics, 2017, 5, 48. [arXiv:1702.08437]
  8. Mortari, D., Johnston, H., and Smith, L. “High Accurate Least-Squares Solutions of Nonlinear Differential Equations,” Journal of Computational and Applied Mathematics, Vol. 352, 15 May 2019, pp. 293-307.
  9. Efendiev, Y., Johnston, H., Leake, C., and Mortari, D. “Selected Applications of the Theory of Connections,” To be submitted soon.
  10. Mortari, D. and Leake, C. “The Tensor Theory of Connections,” MDPI Mathematics, in print. [arXiv:1812.10626]
  11. Leake, C., Johnston, H., Smith, L., and Mortari, D. “Approximate Solutions to Ordinary Differential Equations Using Least-Squares Support Vector Machines,” IEEE Transactions on Neural Networks and Learning Systems, In review. [arxiv:1812.05571]

Publications on Sling-Sat

  1. Missel, J. and Mortari, D. “Sling Satellite for Debris Removal with Aggie Sweeper,” AAS 10-256, AAS/AIAA Space Flight Mechanics Meeting Conference, New Orleans, LO, Feb. 13-17, 2011.
  2. Missel, J. and Mortari, D. “Optimization of Debris Removal Path for TAMU Sweeper,” AAS 12-167, AAS/AIAA Space Flight Mechanics Meeting Conference, Charleston, SC, Jan. 29 – Feb. 2, 2012.
  3. Missel, J. and Mortari, D. “Removing Space Debris through Sequential Captures and Ejections,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 36, No. 3, 2013, pp. 743-752.
  4. Missel, J. and Mortari, D. “Path Optimization for Space Sweeper with Sling-Sat: A Method of Active Space Debris Removal,” COSPAR Advances in Space Research, Vol. 52, No. 7, 2013, pp. 1339-1348.

Videos on Sling-Sat

  1. TAMU-Sweeper Sling-Sat explained for large audience [Link to Youtube video]. [Download video in mp4 format] [video]
  2. KAGS-TV Interview (August 2, 2012) [Link #1], [Link #2].
  3. Poster [Link]
  4. LASR video [Link].