DANIELE MORTARI
Professor

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 ndimensional spaces, etc.).
Editorship
 Sensors. Special Issue “Attitude Sensors“. Deadline for manuscript submissions: September 30, 2020.
 Mathematics. Special Issue “Computational Mathematics, Algorithms, and Data Processing” (ISSN 22277390).
Research Interest
 Attitude and position determination systems
 Satellite constellations design
 Sensor data processing
 Algorithms and linear algebra
 Functional interpolation
Research Team
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Dr. Alan Kardec de Almeida Junior 
Carl Leake (2019 NSTRF) 
Hunter Johnston (2019 NSTRF) 
Anthony Gardner 
2020 Journal Publications
 Drozd, K., Furfaro, R., Schiassi, E., Johnston, H., and Mortari, D. “EnergyOptimal Trajectory Problems in Relative Motion Solved via Theory of Functional Connections,” 2020, ACTA Astronautica. Under review.
 Johnston, H. and Mortari, D. “Leastsquares Solutions of BoundaryValue Problems in Hybrid Systems,” 2020, Journal of Computational and Applied Mathematics, Under review.
 Mai, T. and Mortari, D. “Theory of Functional Connections Applied to Nonlinear Programming under Equality Constraints,” Journal of Computational and Applied Mathematics, 2020, Under review.
 Schiassi, E., D’Ambrosio, A., Johnston, H., De Florio, M., Drozd, K., Furfaro, R., Curti, F., and Mortari, D. “PhysicsInformed Extreme Theory of Functional Connections Applied to Optimal Control Problems for Space Guidance,” 2020, IEEE Aerospace and Electronics Systems, Under Review.
 de Almeida Junior, A.K., Johnston, H., Leake, C., and Mortari, D. ” An analysis of the minimum ΔV in twoimpulse EarthtoMoon short time transfers using Theory of Functional Connections,” Celestial Mechanics and Dynamical Astronomy, 2020, Under Review.
 Schiassi, E., Furfaro, R., Leake, C., De Florio, M., Johnston, H., and Mortari, D. “Extreme Theory of Functional Connections: A PhysicsInformed Neural Network Method for solving Parametric Differential Equations,” Neurocomputing, 2020, Under Review.
 Johnston, H., Leake, C., de Almeida, M.M., and Mortari, D. “Recursive StarIdentification Algorithm using an Adaptive SVDbased Angular Velocity Estimator,” 2020, AIAA Journal of Spacecraft and Rockets, In print.
 Mortari, D. and Arnas, D. “Bijective Mapping Analysis to Extend the Theory of Functional Connections to Nonrectangular 2dimensional Domains,” Mathematics 2020, 8(9), 1593; https://doi.org/10.3390/math8091593.
 Leake, C., Johnston, H., and Mortari, D. “The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations,” Mathematics 2020, 8(8) 1303.
 Johnston, H., Schiassi, E., Furfaro, R., and Mortari, D. “FuelEfficient Powered Descent Guidance on Planetary Bodies via the Theory of Functional Connections,” 2020, The Journal of Astronautical Sciences, https://doi.org/10.1007/s4029502000228x
 de Almeida, M.M., Mortari, D., Zanetti, R., and Akella, M. “QuateRA: the Quaternion Regression Algorithm,” AIAA Journal of Guidance, Control, and Dynamics, 2020, 43(9), pp. 16001616.
 Leake, C., Arnas, D., and Mortari, D. “Nondimensional StarIdentification,” Sensors, 2020, 20, 2697.
 Johnston, H., Leake, C., and Mortari, D. “Leastsquares Solutions of Eighthorder Boundary Value Problems using the Theory of Functional Connections”, Mathematics, 2020, Vol. 8(3), No. 397.
 Leake, C. and Mortari, D. “Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations”, Machine Learning and Knowledge Extraction, 2020, Vol. 2, No. 1, pp. 3755.
 Arnas, D., Leake, C., and Mortari, D. “The nDimensional kvector and its Application to Orthogonal Range Searching,” Applied Mathematics and Computation, Vol. 372, 1 May 2020, 125010.
 Zhang, G. and Mortari, D. “Impulsive Orbit Correction using Second Order Gauss’s Variational Equations,” Celestial Mechanics and Dynamical Astronomy, 2020, 132:13. https://doi.org/10.1007/s1056901999496.
 Furfaro, R. and Mortari, D. “Leastsquares Solution of a Class of Optimal Guidance Problems via Theory of Connections,” ACTA Astronautica, March 2020, Vol. 168, pp.92103.