DANIELE MORTARI
Professor
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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
- Editor-in-Chief, Functional Interpolation section (Mathematics). WoS impact factor is 2.592 (Q1 and top 5%). Editorial board.
- Guest-Editor, Sensors: Special Issue “Attitude Estimation Based on Data Processing of Sensors,” WoS Impact factor is 3.847. Deadline: May 31, 2023
- Guest-Editor, Mathematics: Special Issue “Dynamics and Control Using Functional Interpolation,” WoS Impact factor is 2.592. Deadline: December 31, 2023
Research Interest
- Attitude and position determination systems
- Satellite constellations design (Flower Constellation, starting at 4:45)
- Sensor data processing
- Algorithms (k-vector) and linear algebra
- Theory of Functional Connections [papers] – [code (Python)] – [code readme] – [Seminar at Crunch, starting at 57:18]
Research Group
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Sumin Seo | Sangheon Choi |
2023 Journal articles
- 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
- 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.
- 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.
- 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.
- Critchley-Marrows, J. and Mortari, D. “Return to the Sextant,” Magazine of the Royal Institute of Navigations, September-October 2023.
- 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.
- 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.
- 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.
- Mortari, D., Garrappa, R., and Nicolo’, L. “Theory of Functional Connections Extended to Fractional Operators,” Functional Interpolation (Mathematics), 2023, Vol. 11, No. 7.
- 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.
- 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
- 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.
- 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.
- 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).
- 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.
- Functional interpolation: what is it? 1st International Online Conference on Mathematics and Applications, IOCMA 2023, May 2, 2023.
- 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.
- Quod Erat Demonstrandum, Invited Seminar, Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, May 5, 2023.
- 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.
- Current Development Status of The Theory of Functional Connections, XX Jornadas de Trabajo en Mecanica Celeste, Alicante (Spain), June 14-16, 2023.
- 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.
- 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.
- 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.
- 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.