Daniele Mortari

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   DANIELE MORTARI

Professor

TFC book: Leake, C., Johnston, H., and Mortari, D. The Theory of Functional Connections: A Functional Interpolation. Framework with Applications. Lulu, Morrisville NC, 2022. Available on Lulu, Amazon, and Barnes&Nobles.

 

Biography

During the past few years, my research has focused on: 1) orientation and position estimation of spacecraft, 2) attitude sensor data processing, 3) satellite constellations, and 4) various topics in linear algebra and numerical algorithms (function inversion, functional interpolation, differential equations, k-vector, rotation in n-dimensional spaces, etc.).

Editorship

Research Interest

Research Group

Sumin Seo Sangheon Choi
Sumin Seo Sangheon Choi

2023 Journal articles

  1. Mortari, D. “Representation of Fractional Operators using the Theory of Functional Connections,” Functional Interpolation (Mathematics), 2023, 11(23):4772. https://doi.org/10.3390/math11234772
  2. Drozd, K., Furfaro, R., and Mortari, D. “Rapidly Exploring Random Trees with Physics-Informed Neural Networks for Constrained Energy-Optimal Rendezvous Problems,” The Journal of the Astronautical Sciences, 2023. In print.
  3. Lombardi, C., Bevilacqua, R., and Mortari, D. “Modeling and Estimation of a Continuous Flexible Structure using the Theory of Functional Connections,” AIAA Journal of Guidance, Control, and Dynamics. Submitted.
  4. Critchley-Marrows, J., Wu, X., Cairns, I., Nakasuka, S., and Mortari, D. “Implementation of a Celestial-based Methodology to the Design of PNT Systems,” Progress in Aerospace Sciences. Submitted.
  5. Critchley-Marrows, J. and Mortari, D. “Return to the Sextant,” Magazine of the Royal Institute of Navigations, September-October 2023.
  6. de Almeida, A., Bertacchini Prado, A., and Mortari, D. “Orbit Transfer using Theory of Functional Connections via Change of Variables,” The European Physical Journal Plus, 2023, In print.
  7. de Almeida, A., Bertacchini Prado, A., and Mortari, D. “Using the Theory of Functional Connections to Create Periodic Orbits with a Linear Variable Thrust,” New Astronomy, 2023. https://doi.org/10.1016/j.newast.2023.102068.
  8. Critchley-Marrows, J. and Mortari, D. “A Return to the Sextant – Maritime Navigation using Celestial Bodies and the Horizon,” Sensors, 2023. 23(10), 4869; https://doi.org/10.3390/s23104869.
  9. Mortari, D., Garrappa, R., and Nicolo’, L. “Theory of Functional Connections Extended to Fractional Operators,” Functional Interpolation (Mathematics), 2023, Vol. 11, No. 7.
  10. Critchley-Marrows, J. and Mortari, D. “Vision-based Navigation in Low Earth Orbit – using the Stars and Horizon as an Alternative PNT,” Advances in Space Research, Vol. 71, No. 11, pp. 4802-4813, June 1, 2023.
  11. Yassopoulos, C., Reddy, J.N., and Mortari, D. “Analysis of Nonlinear Timoshenko–Ehrenfest Beam Problems with von Kármán Nonlinearity using the Theory of Functional Connections,” Mathematics and Computers in Simulation, March  2023, Vol 205, pp. 709-744.

2023 Conferences, Invited Seminars, and Talks

  1. Mortari, D. Criscola, F., and Canales, D. “Perturbed Lambert Problem Using the Theory of Functional Connections,” AAS 23-131. 33rd AAS/AIAA Space Flight Mechanics Meeting, Austin TX, January 15-19, 2023.
  2. Mortari, D. “Trajectory Optimization Using the Theory of Functional Connections,” AAS 23-132. 33rd AAS/AIAA Space Flight Mechanics Meeting, Austin TX, January 15-19, 2023.
  3. The Theory of Functional Connections: Current Status, Invited Seminar, Crunch Group, The Division of Applied Mathematics, Brown University, March 3, 2023. Youtube (go to min 57:17).
  4. The Wahba’s Problem: Optimal Single-point Attitude Algorithms, Invited talk, Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, March 6, 2023.
  5. Functional interpolation: what is it? 1st International Online Conference on Mathematics and Applications, IOCMA 2023, May 2, 2023.
  6. The Theory of Functional Connections: Current Status, Invited Seminar, Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, May 4, 2023.
  7. Quod Erat Demonstrandum, Invited Seminar, Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, May 5, 2023.
  8. The Theory of Functional Connections: Current Status, Invited Seminar, Departamento de Algebra, Geometria y Topologia, Facultad de Ciencias Matematicas, Universidad Complutense de Madrid, Madrid (Spain), June 12, 2023.
  9. Current Development Status of The Theory of Functional Connections, XX Jornadas de Trabajo en Mecanica Celeste, Alicante (Spain), June 14-16, 2023.
  10. Optimization using the Theory of Functional Connections, Invited Seminar, Dipartimento di Scienze Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano (Italy), July 13, 2023.
  11. Optimization using the Theory of Functional Connections, Keynote talk, 2023 International Conference on Advanced Unmanned Aerial Systems（ICAUAS 2023) Toronto (Canada), July 14-16, 2023.
  12. Posada, D., Jordan, J., Henderson, T., and Mortari, D. “Single Image Star Tracker Calibration for In-transit Spacecraft using Deep Learning for Regression,” AAS 23-329. 33rd AAS/AIAA Astrodynamics Specialist Conference, Big Sky (MT), 13-17 August 2023.
  13. Criscola, F., Hudson, Z., Canales, D., and Mortari, D. “Solution of the Perturbed Lambert’s Problem Using the Theory of Functional Connections,” AAS 23-429. 33rd AAS/AIAA Astrodynamics Specialist Conference, Big Sky (MT), 13-17 August, 2023.

Calendar