- Criscola, F., Canales, D., and Mortari, D. “Application of the Theory of Functional Connections to the Perturbed Lambert’s Problem,” Celestial Mechanics and Dynamical Systems, Vol. 136, No. 5, pp. 36, 2024.
- 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. 2024. In print.
- 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, 2024. Vol.71, No. 1, pp. 9.
- 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
- de Almeida, A., Bertacchini Prado, A., and Mortari, D. “Orbit Transfer using Theory of Functional Connections via Change of Variables,” The European Physical Journal, Special topic, 2023,DOI: https://doi.org/10.1140/epjs/s11734-023-01013-1.
- 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;
- 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. Outstanding Paper Award for Young Scientists.
- Mortari, D. “Theory of Functional Connections Subject to Shear-type and Mixed Derivatives,” Functional Interpolation (Mathematics), 2022, 10(24):4692.
- 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, 2022, In print.
- D’Ambrosio, A., Henderson, T., Clocchiatti, A., and Mortari, D. “Constrained Optimization of n-Impulse Periodic Close Encounter Orbits for Inspection Missions,” Advances in Space Research, 2022, Vol. 70, No. 11, pp. 3393-3404.
- 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, 2022. In print.
- Mortari, D. “Using the Theory of Functional Connections to solve Boundary Value Geodesic Problems,” Mathematical and Computational Applications, 2022; 27(4):64. https://doi.org/10.3390/mca27040064
- D’Ambrosio, A., Schiassi, E., Johnston, H., Curti, F., Mortari, D., and Furfaro, R. “Time-Energy Optimal Landing on Planetary Bodies via Theory of Functional Connections,” Advances in Space Research, 2022, Vol. 69, Issue 12, 15 June 2022, Pages 4198-4220
- Kaki, S., Akella, M., and Mortari, D. “Angular Velocity and Covariance Estimates for Rigid Bodies in Near Pure-Spin using Orientation Measurements,” The Journal of the Astronautical Sciences, 2022, pp. 1-34. https://doi.org/10.1007/s40295-022-00305-3
- Mai, T. and Mortari, D. “Theory of Functional Connections Applied to Quadratic and Nonlinear Programming under Equality Constraints,” Journal of Computational and Applied Mathematics, 2022,Vol. 406, 113912.
- De Florio, M., Schiassi, E., D’Ambrosio, A., Mortari, D., and Furfaro, R. “Theory of Functional Connections applied to Linear ODEs subject to Integral Constraints and Linear Ordinary Integro-Differential Equations,” Mathematical and Computational Applications, 2021, 26(3), 65. https://doi.org/10.3390/mca26030065
- Mortari, D. and Gardner, A. “High Accurate Mathematical Tools to Estimate the Gravity Direction using two Non-orthogonal Inclinometers,” Sensors, 2021, 21(17), 5727; https://doi.org/10.3390/s21175727
- Schiassi, E. De Florio, M., D’Ambrosio, A., Mortari, D., and Furfaro, R. “Physics-Informed Neural Networks and Functional Interpolation for Data-Driven Parameters Discovery of Epidemiological Compartmental Models,” Functional Interpolation (Mathematics), 2021, 9(17), 2069. https://doi.org/10.3390/math9172069.
- Yassopoulos, C., Leake, C., Reddy, J.N., and Mortari, D. “Analysis of Timoshenko-Ehrenfest 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, Vol. 132, pp. 271-280.
- 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, Vol. 457, October 2021, Pages 334-356
- 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), 2021, 9(11):1210. https://doi.org/10.3390/math9111210.
- 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.
- Johnston, H., Leake, C., de Almeida, M.M., and Mortari, D. “Recursive Star-Identification Algorithm using an Adaptive SVD-based Angular Velocity Estimator,” AIAA Journal of Spacecraft and Rockets, 2021. https://doi.org/10.2514/1.A34869.
- Mortari, D. and Arnas, D. “Bijective Mapping Analysis to Extend the Theory of Functional Connections to Non-rectangular 2-dimensional 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. “Fuel-Efficient Powered Descent Guidance on Planetary Bodies via the Theory of Functional Connections,” The Journal of Astronautical Sciences, 2020, https://doi.org/10.1007/s40295-020-00228-x
- 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. 1600-1616.
- Leake, C., Arnas, D., and Mortari, D. “Non-dimensional Star-Identification,” Sensors, 2020, 20, 2697.
- Johnston, H., Leake, C., and Mortari, D. “Least-squares Solutions of Eighth-order 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. 37-55.
- 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/s10569-019-9949-6.
- Arnas, D., Leake, C., and Mortari, D. “The n-Dimensional k-vector and its Application to Orthogonal Range Searching,” Applied Mathematics and Computation, Vol. 372, 1 May 2020, 125010.
- Furfaro, R. and Mortari, D. “Least-squares Solution of a Class of Optimal Guidance Problems via Theory of Connections,” ACTA Astronautica, March 2020, Vol. 168, pp.92-103.
- Fialho, M.A.A. and Mortari, D. “Theoretical Limits of Star Sensors Accuracy,” Sensors, 2019, 19(24), 5355; [arXiv].
- Bani-Younes, A. and Mortari, D. “Derivation of All Attitude Error Governing Equations for Attitude Filtering and Control,” Sensors, Special Issue “Attitude Sensors,” 2019, 19(21), 4682.
- Leake, C., Johnston, H., Smith, L., and Mortari, D. “Analytically Embedding Differential Equation Constraints into Least-Squares Support Vector Machines using the Theory of Functional Connections,” Machine Learning and Knowledge Extraction. 2019, 1(4), 1058-1083. Also in arXiv.1812.05571.
- Johnston, H., Leake, C., Efendiev, Y., and Mortari, D. “Selected Applications of the Theory of Connections: A Technique for Analytical Constraint Embedding,” Mathematics, 2019, 7(6), 537.
- Mortari, D. and Leake, C. “The Multivariate Theory of Connections,” Mathematics, 2019, 7(3), 296.
- 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.
- Zhang, G. and Mortari, D. “Second-Order Integral-Form Gauss’s Variational Equations under Impulsive Control,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 42, No. 2, 2019, pp. 284-302.
- Arnas, D., Leake, C., and Mortari, D. “Random Sampling using k-vector,” IEEE Computing in Science and Engineering, Vol. 21, No. 1, 2018.
- Zhang, G., Zhou, D., Mortari, D., and Akella, M.R. “Covariance Analysis of Lambert’s Problem via Lagrange’s Transfer-Time Formulation,” Aerospace Science and Technology, Vol. 77, June 2018, pp. 765-773.
- Arnas, D. and Mortari, D. “Nonlinear Function Inversion using k-vector,” Journal of Applied Mathematics and Computation, Vol. 320, March 2018, pp. 754-768.
- Mortari, D. “The Theory of Connections: Connecting Points,” Mathematics, 2017, 5(4), 57.
- Mortari, D. “Least-squares Solutions of Linear Differential Equations,” Mathematics, 2017, 5(4), 48. [2017 Best paper award, 2nd place].
- Arnas, D., Casanova, D., Tresaco, E., and Mortari, D. “3-Dimensional Necklace Flower Constellations,” Celestial Mechanics and Dynamical Astronomy, 2017, 129, pp. 433-448, DOI 10.1007/s10569-017-9789-1.
- Lee, S. and Mortari, D. “Quasi-equal Area Subdivision Algorithm for Uniform Points on a Sphere with Application to any Geographical Data Distribution,” Computers and Geosciences, Vol. 103, June 2107, pp. 142-151.
- Arnas, D., Fialho, M.A.A., and Mortari, D. “Fast and Robust Kernel Generators for Star Trackers,” ACTA Astronautica, Vol. 134, (2017), pp. 291-302. DOI: 10.1016/j.actaastro.2017.02.016
- Lee, S. and Mortari, D. “Design of Constellations for Earth Observation with Inter-satellite Links,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 12, No. 1, 2016, pp. 1-9. DOI: 10.2514/1.G001710.
- Mortari, D. and Conway, D. “Single-point Position Estimation in Interplanetary Trajectories using Star Trackers,” Celestial Mechanics and Dynamical Astronomy, 2016, pp. 1-16. DOI: 10.1007/s10569-016-9738-4.
- Conway, D. and Mortari, D. “Single-point and Filtered Relative Position Estimation for Visual Docking,” Computational Methods in Engineering and Sciences, 2016, Vol. 111, No. 2, pp. 147-169.
- Mortari, D., D’Souza, C., and Zanetti, R. “Image Processing of Illuminated Ellipsoid,” AIAA Journal of Spacecraft and Rockets, 2016, Vol. 53, No. 3, pp. 448-456.
- Zhang, G., Cao, X., and Mortari, D. “Analytical Approximate Solutions to Ground Track Adjustment for Responsive Space,” IEEE Transactions on Aerospace and Electronic Systems, 2016, Vol. 52, No. 3, pp. 1366-1383. DOI: 10.1109/TAES.2016.140644
- de Dilectis, F., Mortari, D., and Zanetti, R. “Bezier Description of Space Trajectories,” AIAA Journal of Guidance, Control, and Dynamics, 2016, Vol. 39, No. 11, pp. 2535-2539.
- Borissov, S., Wu, Y., and Mortari, D. “East-West GEO Satellite Station-keeping with Degraded Thruster Response,” Aerospace, 2015, Vol. 2. No. 4, pp. 581-601.
- Abouelmagd, E.I., Mortari, D., and Selim, H.H. “Analytical Study of Periodic Solutions of Perturbed Equatorial Two-body Problem,” International Journal of Bifurcation and Chaos, 2015, Vol. 25, No. 14, 1540040.
- Mortari, D. and Rogers, J. “A k-vector Approach to Sampling, Interpolation, and Approximation,” AAS The Journal of the Astronautical Sciences, Vol. 60, No. 3, 2015, pp. 686-706.
- Karimi, R.R. and Mortari, D. “Autonomous Interplanetary Navigation using Visible Planets,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 38, No. 6, 2015, pp. 1151-1156.
- Lee, S., Wu, Y., and Mortari, D. “Satellite Constellation Design for Telecommunication in Antarctica,” International Journal of Satellite Communications and Networking, 2015, DOI: 10.1002/sat.1128.
- Mortari, D., de Dilectis, F., and Zanetti, R. “Position Estimation using Image Derivative,” Aerospace, 2015, Vol. 2, pp. 435-460.
- Casanova, D., Avendano, M.E., and Mortari, D. “Seeking GDOP-optimal Flower Constellations for Global Coverage Problems through Evolutionary Algorithms,” Aerospace Science and Technology, Vol. 39, 2014, pp. 331-337.
- Mortari, D., Avendano, M.E., and Lee, S. “J2-Propelled Orbits and Constellations,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 37, No. 5, 2014, pp. 1701-1706.
- Bani-Younes, A., Mortari, D., Turner, J.D., and Junkins, J.L. “Attitude Error Kinematics,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 37, No. 1, 2014, pp. 330-336.
- Mortari, D. and Elipe, A. “Solving Kepler’s Equation using Implicit Functions,” Celestial Mechanics and Dynamical Astronomy, Vol. 118, No. 1, 2014, pp. 1-11.
- Casanova, D., Avendano, M.E., and Mortari, D. “Design of Flower Constellations using Necklaces,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 50, No. 2, April 2014, pp. 1347-1358.
- 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.
- Woodbury, D. and Mortari, D. “Tracking Objects with Unknown Dynamics,” Frontiers in Aerospace Engineering, Vol. 2, No. 4, November 2013, pp. 217-226.
- Avendano, M.E., Davis, J.J., and Mortari, D. “The 2-D Theory of Lattice Flower Constellations,” Celestial Mechanics and Dynamical Astronomy, Vol. 116, No. 4, 2013, pp. 325-337.
- Davis, J.J., Avendano, M.E., and Mortari, D. “The 3-D Theory of Lattice Flower Constellations,” Celestial Mechanics and Dynamical Astronomy, Vol. 116, No. 4, 2013, pp. 339-356.
- de Dilectis, F. and Mortari, D. “Analytic Orbit Design for Earth Sites Observation,” Frontiers in Aerospace Engineering, Vol. 2, No. 3, August 2013, pp. 169-179.
- 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.
- Lee, S. and Mortari, D. “2-D Lattice Flower Constellations for Radio Occultation Missions,” Frontiers in Aerospace Engineering, Vol. 2, No. 2, May 2013, pp. 79-90.
- Mortari, D., Davis, J.J., Owis, A., and Mohamed, H. “Reliable Global Navigation System using Flower Constellation,” International Journal of Advanced Computer Science and Applications, Vol. 4, No. 2, 2013, pp. 260-266.
- Owis, A.H., Mohammed, H.M., Dwidar, H., and Mortari, D. “GPS Satellite Range and Relative Velocity Computation,” Theory and Applications of Mathematics & Computer Science, Vol. 2, No. 1, 2012, pp. 53-60.
- Zhang, G., Zhou, D., and Mortari, D. “An Approximate Analytical Method for Short-range Impulsive Orbit Rendezvous using Lambert Solutions,” Acta Astronautica, Vol. 81, 2012, pp. 318-324.
- Avendano, M.E. and Mortari, D. “New Insights on Flower Constellations Theory,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 48, No. 2, April 2012, pp. 1018-1030.
- Zhang, G., Zhou, D., Mortari, D., and Henderson, T.A. “Analytical Study of Tangent Orbit and Conditions for its Solution Existence,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 35, No. 1, Jan.-Feb. 2012, pp. 186-194.
- Ning, Y., Avendano, M.E., and Mortari, D. “Sequential Design of Satellite Formations with Invariant Distances,” AIAA Journal of Spacecraft and Rockets, Vol. 48, No. 6, 2011, pp. 1025-1032.
- Mortari, D., De Sanctis, M., and Lucente, M. “Design of Flower Constellations for Telecommunication Services,” Proceedings of the IEEE, Vol. 99, No. 11, November 2011, pp. 2008-2019.
- Flewelling, B. and Mortari, D. “Information Theoretic Weighting for Robust Star Centroiding,” AAS The Journal of the Astronautical Sciences, Vol. 58, No. 2, April-June 2011, pp. 241-259.
- Spratling, B.B. and Mortari, D. “The k-vector ND and its Application to Building a Non-Dimensional Star-ID Catalog,” AAS The Journal of the Astronautical Sciences, Vol. 58, No. 2, April-June 2011, pp. 261-274.
- Zhang, G., Zhou, D., and Mortari, D. “Optimal Two-Impulse Rendezvous using Constrained Multiple-Revolution Lambert Solutions,” Celestial Mechanics and Dynamical Astronomy, Vol. 110, No. 4, 2011, pp. 305-317.
- Bourgeois, S. and Mortari, D. “Rock Around Orbits,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 34, No. 4, 2011, pp. 810-819.
- Karimi, R.R. and Mortari, D. “Initial Orbit Determination using Multiple Observations,” Celestial Mechanics and Dynamical Astronomy, Vol. 109, No. 2, 2011, pp. 167-180.
- Zhang, G., Mortari, D., and Zhou, D. “Constrained Multiple-Revolution Lambert Problem,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 33, No. 6, 2010, pp. 1779-1786. Recipient of the Natural Science Award of Heilongjiang province of China.
- Davis, J.J., Mortari, D., and Bruccoleri, C. “Sequential Solutions to Kepler’s Equation,” Celestial Mechanics and Dynamical Astronomy, Vol. 108, No. 1, 2010, pp. 59-72.
- Marzano, F.S., Cimini, D., Rossi, T., Mortari, D., Di Michele, S., and Bauer, P. “High-repetition Millimeter-wave Passive Remote Sensing of Humidity and Hydrometeor Profiles from Elliptical Orbit Constellations,” AMS Journal of Applied Meteorology and Climatology, Vol. 49, No. 7, July 2010, pp. 1454-1476.
- Parish, J.J., Parish, A.S., Swanzy, M., Woodbury, D., Mortari, D., and Junkins, J.L. “The Stellar Positioning System (Part I): An Autonomous Position Determination Solution,” ION Navigation, Vol. 57, No. 1, Spring 2010, pp. 1-12.
- Woodbury, D., Parish, J.J., Parish, A.S., Swanzy, M., Denton, R., Mortari, D., and Junkins, J.L. “The Stellar Positioning System (Part II): Improving Accuracy During Implementation,” ION Navigation, Vol. 57, No. 1, Spring 2010, pp. 13-24.
- Rugescu, R.D., Mortari, D., Staicu, S., and Aldea, S. “Orthonormality and Spectral Analysis for Robotic and Astrodynamics,” Solid State Phenomena, Vol. 164, 2010, pp. 392-404.
- Avendano, M.E. and Mortari, D. “A Closed-Form Solution to the Minimum Delta v^2 Lambert’s Problem,” Celestial Mechanics and Dynamical Astronomy, Vol. 106, No. 1, January 2010, pp. 25-37.
- Kumar, M., Mortari, D., and Junkins, J.L. “Analytical Approach to Star Identification Reliability,” ACTA Astronautica, Vol. 66, No. 3-4, February-March 2010, pp. 508-515.
- Mortari, D. and Majji, M. “Multiplicative Measurement Model,” AAS The Journal of the Astronautical Sciences, Vol. 57, Nos. 1&2, January-June 2009, pp. 47–60.
- Zanetti, R., Majji, M., Bishop, R., and Mortari, D. “Norm-Constrained Kalman Filtering,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 32, No. 5, Sept.-Oct. 2009, pp. 1458-1465. Article featured in the 2010 Draper Technology Digest.
- Marzano, F.S., Cimini, D., Memmo, A., Montopoli, M., Rossi, T., De Sanctis, M., Lucente, M., Mortari, D., and Di Michele, S. “Flower Constellation of Millimeter-Wave Radiometers for Tropospheric Monitoring at Pseudo-Geostationary Scale,” IEEE Transactions on Geoscience and Remote Sensing, Vol. 47, No. 9, September 2009, pp. 3107-3122.
- Spratling, B.B. and Mortari, D. “A Survey on Star Identification Algorithms,” Algorithms, Special Issue: Sensor Algorithms, Vol. 2, No. 1, January 2009, pp. 93-107.
- Samaan, M.A., Mortari, D., and Junkins, J.L. “Compass Star Tracker for GPS-like Applications,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 44, No. 4, October 2008, pp. 1629-1634.
- Mortari, D. and Wilkins, M.P. “The Flower Constellation Set Theory. Part I: Compatibility and Phasing,” IEEE Transactions on Aerospace and Electronic Systems. Vol. 44, No. 3, July 2008, pp. 953-963.
- Wilkins, M.P. and Mortari, D. “The Flower Constellation Set Theory. Part II: Secondary Paths and Equivalency,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 44, No. 3, July 2008, pp. 964-976.
- Park, K.J. and Mortari, D. “Planet or Moon Image Processing for Spacecraft Attitude Estimation,” Journal of Electronic Imaging, Vol. 17, No. 2, April-June 2008, article 023020, pp. 1-11. Article picture selected for cover page.
- Rugescu, R.D. and Mortari, D. “Ultra Long Orbital Tethers Behave Highly Non-Keplerian and Unstable,” WSEAS Transactions on Mathematics, Vol. 7, No. 3, March 2008, pp. 87-94.
- Mortari, D., Markley, L.F., and Singla, P. “Optimal Linear Attitude Estimator,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 30, No. 6, November-December 2007, pp. 1619-1627.
- Mortari, D. and Clocchiatti, A. “Solving Kepler’s Equation using Bezier Curves,” Celestial Mechanics and Dynamical Astronomy, Vol. 99, No. 1, September 2007, pp. 45-57.
- Abdelkhalik O. and Mortari, D. “On the n-Impulse Orbit Transfer Using Genetic Algorithms,” AIAA Journal of Spacecraft and Rockets, Vol. 44, No. 2, March-April 2007, pp. 456-460.
- Abdelkhalik O. and Mortari, D. “Orbit Design for Ground Surveillance Using Genetic Algorithms,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 29, No. 5, Sept.-Oct. 2006, pp. 1231-1235.
- 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.
- Bruccoleri, C. and Mortari, D. “MRAD: Modified Rodrigues Vector Attitude Determination,” AAS The Journal of the Astronautical Sciences, Vol. 54, No. 3-4, July-December 2006, pp. 383-390.
- Mortari, D. “Flower Constellation as Rigid Object in Space,” ACTA Futura, Issue 2, August 2006, pp. 7-22. Article picture selected for cover page. Published also as ESA SP-633, Invited papers at the 1-st Innovative System Concepts Workshop, edited by ESA publication division, Noordwijk, the Netherlands, pp-7-22, 2006.
- Mortari, D. and Singla, P. “Optimal Cones Intersection Technique,” ACTA Astronautica, Vol. 59, No. 6, September 2006, pp. 474-482.
- Abdelkhalik O. and Mortari, D. “Two-Way Orbits,” Celestial Mechanics and Dynamical Astronomy. Vol. 94, No. 4, April 2006, pp. 399-410.
- Samaan, M.A., Mortari, D., and Junkins, J.L. “Non-Dimensional Star Identification for Un-Calibrated Star Cameras,” AAS The Journal of the Astronautical Sciences, Vol. 54, No. 1, January-March 2006, pp. 95-111.
- Samaan, M.A., Mortari, D., and Junkins, J.L. “Recursive Mode Star Identification Algorithms,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 41, No. 4, Oct. 2005, pp. 1246-1254.
- Mortari, D., Samaan, M.A., Bruccoleri, C., and Junkins, J.L. “The Pyramid Star Pattern Recognition Algorithm,” ION Navigation, Vol. 51, No. 3, Fall 2004, pp. 171-183.
- Mortari, D., Wilkins, M., and Bruccoleri, C. “The Flower Constellations,” AAS The Journal of the Astronautical Sciences, Vol. 52, Nos. 1 and 2, January-June 2004, pp. 107-127.
- 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.
- 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.
- Markley, L.F., and Mortari, D. “Quaternion Attitude Estimation Using Vector Observations,” AAS The Journal of the Astronautical Sciences, Special Issue: The Richard H. Battin Astrodynamics Symposium, Vol. 48, No. 2/3, April-September, 2000, pp. 359-380.
- Mortari, D. “Second Estimator of the Optimal Quaternion,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 23, No. 5, Sept.-Oct. 2000, pp. 885-888.
- Mortari, D. “EULER-q Algorithm for Attitude Determination from Vector Observations,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 21, No. 2, March-April 1998, pp. 328-334.
- Mortari, D. “Moon-Sun Attitude Sensor,” AIAA Journal of Spacecraft and Rockets, Vol. 34, No. 3, May-June 1997, pp. 360-364.
- 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.
- Mortari, D. “ESOQ: A Closed-Form Solution to the Wahba Problem,” AAS The Journal of the Astronautical Sciences, Vol. 45, No. 2, April-June 1997, pp. 195-204.
- Mortari, D. “Search-Less Algorithm for Star Pattern Recognition,” AAS The Journal of the Astronautical Sciences, Vol. 45, No. 2, April-June 1997, pp. 179-194.
- Mortari, D. “Energy Approach Algorithm for Attitude Determination from Vector Observations,” AAS The Journal of the Astronautical Sciences, Vol. 45, No. 1, pp. 41-55, 1997.
- Mortari, D. “EULER-2 and EULER-n Algorithms for Attitude Determination from Vector Observations,” Space Technology, Vol. 16, Nos. 5/6, 1996, pp. 317-321.
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