DANIELE MORTARI
Professor
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Biography
During 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, rotation in n-dimensional spaces, etc.).
Editorship
- Guest-Editor, Sensors: Special Issue “Attitude Estimation Based on Data Processing of Sensors,” [02/2021-01-2022]
- Editor-in-Chief, Functional Interpolation section (Mathematics), Editorial board [2/2021-]
Research Interest
- Attitude and position determination systems
- Satellite constellations design
- Sensor data processing
- Algorithms and linear algebra
- Theory of Functional Connections [papers] – [code (Python)]
Research Team
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| Dr. Joshua Critchley-Marrow (1/2022 – 1/2023) |
Carl Leake (Ph.D. in August 2021) (2019 NSTRF) |
Hunter Johnston (Ph.D. in August 2021) (2019 NSTRF) |
Anthony Gardner (M.S. in August 2021) |
Gregory Arleth (M.S. in August 2021) |
2021 Journal Publications
- D’Ambrosio, A., Clocchiatti, A., and Mortari, D. “n-Impulse Periodic Close Encounters Orbit,” The Journal of Astronautical Sciences, 2021, Under review.
- Yassopoulos, C., Leake, C., Reddy, J.N., and Mortari, D. “Analysis of Timoshenko Beam Problems using the Theory of Functional Connections,” Special Issue “Computational Approaches to Mechanical Response Analysis of Structures at Diverse Scales,”‘ Journal Engineering Analysis with Boundary Elements, 2021, Under review.
- Kaki, S., Akella, M.R., and Mortari, D. “Angular Velocity and Covariance Estimates for Rigid Bodies in Near Pure-Spin,” The Journal of Astronautical Sciences, 2021, Under review.
- Johnston, H., Lo, W.M., and Mortari, D. “A Functional Interpolation Approach to Compute Periodic Orbits in the Circular Restricted Three-Body Problem”, Functional Interpolation (Mathematics), Under review.
- Furfaro, R., D’Ambrosio, A., Schiassi, E., Johnston, H., Curti, F., and Mortari, D. “Minimum Time-Energy Optimal Landing on Planetary Bodies via Theory of Functional Connections,” ACTA Astronautica, 2021. Under review.
- Mai, T. and Mortari, D. “Theory of Functional Connections Applied to Nonlinear Programming under Equality Constraints,” Journal of Computational and Applied Mathematics, 2021, Under review.
- Schiassi, E., D’Ambrosio, A., Johnston, H., De Florio, M., Drozd, K., Furfaro, R., Curti, F., and Mortari, D. “Physics-Informed Extreme Theory of Functional Connections Applied to Optimal Control Problems for Space Guidance,” 2021, IEEE Aerospace and Electronics Systems, Under Review.
- Schiassi, E., Furfaro, R., Leake, C., De Florio, M., Johnston, H., and Mortari, D. “Extreme Theory of Functional Connections: A Fast Physics-Informed Neural Network Method for solving Ordinary and Partial Differential Equations,” Neurocomputing, 2021, Revised version submitted.
- Johnston, H. and Mortari, D. “Least-squares Solutions of Boundary-Value Problems in Hybrid Systems,” Journal of Computational and Applied Mathematics, 393, (2021) 113524.
- de Almeida, A., Johnston, H., Leake, C., and Mortari, D. “Fast 2-impulse non-Keplerian orbit-transfer using the Theory of Functional Connections,” The European Physical Journal Plus, 2021, Vol. 136, No. 2, pp. 223.
- Drozd, K., Furfaro, R., Schiassi, E., Johnston, H., and Mortari, D. “Energy-Optimal Trajectory Problems in Relative Motion Solved via Theory of Functional Connections,” ACTA Astronautica. Vol. 182, May 2021, pp. 361-382.
- Mortari, D. and Furfaro, R. “Univariate Theory of Functional Connections Applied to Component Constraints,” Mathematical and Computational Applications,” 2021, 26(1), 9.