# overview
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, interpolation, differential equations, rotation in n-dimensional real and complex spaces, etc.).

# keywords[]
Newton's Method And Elimination Scheme In Optimization

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Linear Equality Constrained Minimization Problem

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4009 Electronics, Sensors And Digital Hardware

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4903 Numerical And Computational Mathematics

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Nonlinear Theory Of Functional Connections

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4007 Control Engineering, Mechatronics And Robotics

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Quasi-uniform Distribution Of Weighted Points

# keywords[]
4007 Control Engineering, Mechatronics And Robotics

# keywords[]
4009 Electronics, Sensors And Digital Hardware

# keywords[]
4007 Control Engineering, Mechatronics And Robotics

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Instrumentation And Method For Astrophysics

# keywords[]
4009 Electronics, Sensors And Digital Hardware

# keywords[]
4007 Control Engineering, Mechatronics And Robotics

# keywords[]
4009 Electronics, Sensors And Digital Hardware

# keywords[]
4007 Control Engineering, Mechatronics And Robotics

# educationAndTraining[].organization.label
Sapienza University of Rome - (Rome, Lazio, Italy)

# publications[].label
ESOQ-2 single-point algorithm for fast optimal spacecraft attitude determination

# publications[].label
Solving Kepler's equation using implicit functions

# publications[].label
NONLINEAR ADAPTIVE CONTROL OF A LEO SATELLITE PERTURBED BY ATMOSPHERIC DRAG, J(2) EFFECT, AND MOON GRAVITY

# publications[].label
Second-Order Integral-Form Gauss's Variational Equations Under Impulsive Control

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Planet or moon image processing for spacecraft attitude estimation

# publications[].label
A Return to the Sextant-Maritime Navigation Using Celestial Bodies and the Horizon

# publications[].label
The Flower Formation Flying - Part II: Application

# publications[].label
SOLVING KEPLER'S EQUATION USING IMPLICIT FUNCTIONS

# publications[].label
An approximate analytical method for short-range impulsive orbit rendezvous using relative Lambert solutions

# publications[].label
REAL-TIME ANGULAR VELOCITY ESTIMATION OF NON-COOPERATIVE SPACE OBJECTS USING CAMERA MEASUREMENTS

# publications[].label
THE THEORY OF CONNECTIONS: CONNECTING FUNCTIONS

# publications[].label
Flower constellations for earth coverage with big number of satellites

# publications[].label
The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations

# publications[].label
Flower constellations for telemedicine services

# publications[].label
Conformal mapping among Orthogonal, Symmetric, and Skew-Symmetric matrices

# publications[].label
Optimization of Lattice Flower constellations for intensity correlation interferometric missions

# publications[].label
Poincar maps with the theory of functional connections

# publications[].label
Time-energy optimal landing on planetary bodies via theory of functional connections

# publications[].label
Flower Constellation of Orbiters for Martian Communication

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Planet or Moon image processing for spacecraft attitude estimation

# publications[].publisher
SPIE, the international society for optics and photonics

# publications[].label
NOVEL MULTIPLICATIVE UNSCENTED KALMAN FILTER FOR ATTITUDE ESTIMATION

# publications[].label
Euler-q algorithm for attitude determination from vector observations

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
QuateRA: The Quaternion Regression Algorithm

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
CENTROIDING AND SIZING OPTIMIZATION OF ELLIPSOID IMAGE PROCESSING USING NONLINEAR-LEAST SQUARES

# publications[].label
A k-Vector Approach to Sampling, Interpolation, and Approximation

# publications[].label
Modeling and Estimation of Continuous Flexible Structure Using Theory of Functional Connections

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
The n-dimensional k-vector and its application to orthogonal range  searching

# publications[].label
COMPARISON BETWEEN FIRST AND SECOND-ORDER GAUSS'S VARIATIONAL EQUATIONS UNDER IMPULSIVE CONTROL

# publications[].label
The n-dimensional cross product and its application to the matrix eigenanalysis

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
ON LAPLACE'S ORBIT DETERMINATION METHOD: SOME MODIFICATIONS

# publications[].label
Solving Kepler's equation using Bezier curves

# publications[].label
SLING SATELLITE FOR DEBRIS REMOVAL WITH AGGIE SWEEPER

# publications[].label
WEIGHTED LEAST-SQUARES SOLUTIONS OF OVER -CONSTRAINED DIFFERENTIAL EQUATIONS

# publications[].label
THE LATTICE THEORY OF FLOWER CONSTELLATIONS

# publications[].label
A PERFORMANCE BASED COMPARISON OF ANGLE-ONLY INITIAL ORBIT DETERMINATION METHODS

# publications[].label
From art to science: The satellite constellation design evolution

# publications[].label
Sequential solution to Kepler's equation

# publications[].label
Compass star tracker for GPS applications

# publications[].label
Selected Applications of the Theory of Connections: A Technique for Analytical Constraint Embedding.

# publications[].label
DESIGN OF CONSTELLATIONS FOR EARTH OBSERVATION WITH INTER-SATELLITE LINKS

# publications[].label
Image Processing of Illuminated Ellipsoid

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Reconfiguring flower constellations using continuous firing

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
CIRCULAR LATTICE STRING-OF-PEARLS CONSTELLATIONS FOR RADIO OCCULTATION MISSION

# publications[].label
Theory of Functional Connections Extended to Continuous Integral Constraints

# publications[].label
Toward the most accurate attitude determination system using star trackers

# publications[].label
EAST-WEST GEO SATELLITE STATION-KEEPING WITH DEGRADED THRUSTER RESPONSE

# publications[].label
Energy approach algorithm for attitude determination from vector observations

# publications[].label
FAST ORBIT PROPAGATION WITHOUT SOLVING KEPLER'S EQUATION

# publications[].label
Theory of Functional Connections Extended to Fractional Operators

# publications[].label
Search-less algorithm for star pattern recognition

# publications[].label
Exploring Functional Connections Theory and Linearized Approaches in Collision Avoidance Maneuver Design: A Comparative Study

# publications[].label
N-impulse orbit transfer using genetic algorithms

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Comparisons between GalileoSat and global navigation flower constellations

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Analytical Study of Periodic Solutions on Perturbed Equatorial Two-Body Problem

# publications[].label
X-RAY PULSAR NAVIGATION OPTIMIZATION USING SPHERICAL PARTITIONS

# publications[].label
ORBIT DETERMINATION BASED ON VARIATION OF ORBITAL ERROR

# publications[].label
Rapidly Exploring Random Trees with Physics-Informed Neural Networks for Constrained Energy-Optimal Rendezvous Problems

# publications[].label
IMAGE PROCESSING OF ILLUMINATED ELLIPSOID

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
OPTIMAL USE OF PERTURBATIONS FOR SPACE MISSIONS

# publications[].label
A Survey on Star Identification Algorithms

# publications[].label
Satellite Constellation design for Earth observation

# publications[].label
How to estimate attitude from vector observations

# publications[].label
APPLICATIONS OF THE DYNAMIC N-DIMENSIONAL K-VECTOR

# publications[].label
The 2-D lattice theory of Flower Constellations

# publications[].label
User interface design for moon-and-star night-sky observation experiments

# publications[].label
OPTIMAL K-VECTOR TO INVERT NONLINEAR FUNCTIONS

# publications[].label
THE K-VECTOR ND AND ITS APPLICATION TO BUILDING A NON-DIMENSIONAL STAR IDENTIFICATION CATALOG

# publications[].label
ANALYTIC ORBIT DESIGN FOR EARTH SITES OBSERVATION

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Application of the theory of functional connections to the perturbed Lamberts problem

# publications[].label
Derivation of All Attitude Error Governing Equations for Attitude Filtering and Control.

# publications[].label
An analytical approach to star identification reliability

# publications[].label
Theoretical Limits of Star Sensor Accuracy.

# publications[].label
On the rigid rotation concept in n-dimensional spaces

# publications[].label
Bezier Description of Space Trajectories

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Angular Velocity and Covariance Estimates for Rigid Bodies in Near Pure-Spin Using Orientation Measurements

# publications[].label
DISCRETE AND CONTINUOUS TIME ADAPTIVE ANGULAR VELOCITY ESTIMATORS

# publications[].label
Orbit design for ground surveillance using genetic algorithms

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Planet and time estimation using star trackers

# publications[].label
Recursive mode star identification algorithms

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Mapping to compensate radial geometrical distortion in pin-hole cameras

# publications[].label
Analysis and demonstration: A proof-of-concept compass star tracker

# publications[].label
BEZIER REPRESENTATION OF ANALYTICAL FUNCTIONS

# publications[].label
Stellar Positioning System Part II: Overcoming Error During Implementation

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
EULER-2 and EULER-n algorithms for attitude determination from vector observations

# publications[].label
THEORY OF CONNECTIONS APPLIED TO FIRST-ORDER SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS SUBJECT TO COMPONENT CONSTRAINTS

# publications[].label
MODIFICATIONS TO THE GOODING ALGORITHM FOR ANGLES-ONLY INITIAL ORBIT DETERMINATION

# publications[].label
The Flower Constellations visualization and analysis tool

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Ortho-Skew and Ortho-Sym matrix trigonometry

# publications[].label
Special issue: The John L. Junkins Astrodynamics Symposium - Preface

# publications[].label
Ultra long orbital tethers behave highly non-Keplerian and unstable

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Nonlinear function inversion using k-vector

# publications[].label
Low energy interplanetary transfers using halo orbit hopping method with STK/astrogator

# publications[].label
Journal of the Astronautical Sciences: Preface

# publications[].label
Theoretical Limits of Star Sensor Accuracy

# publications[].label
Using the Theory of Functional Connections to Solve Boundary Value Geodesic Problems

# publications[].label
Range limits of attitude determination accuracy

# publications[].label
Representation of Fractional Operators Using the Theory of Functional Connections

# publications[].label
The 3-D lattice theory of Flower Constellations

# publications[].label
Recursive Star-Identification Algorithm using an Adaptive SVD-based  Angular Velocity Estimator

# publications[].label
Analysis of Timoshenko-Ehrenfest beam problems using the Theory of Functional Connections

# publications[].label
Flower Constellation Set Theory Part I: Compatibility and Phasing

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Satellite constellation design for telecommunication in Antarctica

# publications[].label
A Survey of Attitude Error Representations

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
NECKLACE THEORY ON FLOWER CONSTELLATIONS

# publications[].label
ENHANCEMENTS TO THE K-VECTOR SEARCH TECHNIQUE

# publications[].label
New developments in quaternion estimation from vector observations

# publications[].label
Communication Architecture and Technologies for Missions to Moon, Mars, and Beyond

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Space surveillance using star trackers. Part I: Simulations

# publications[].label
REFLECTION DECOMPOSITION OF ROTATION MATRICES

# publications[].label
Stellar Positioning System Part I: Applying Ancient Theory to a Modern World

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations.

# publications[].label
IMAGE PROCESSING OF EARTH AND MOON IMAGES FOR OPTICAL NAVIGATION SYSTEMS

# publications[].label
Sp-search star pattern recognition for multiple fields of view star trackers

# publications[].label
Journal of the Astronautical Sciences: Preface

# publications[].label
FLORAD: Micro-satellite Flower Constellation of Millimeter-wave Radiometers for Atmospheric Remote Sensing

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
3D LATTICE FLOWER CONSTELLATIONS USING NECKLACES

# publications[].label
Application of the Theory of Functional Connections to the Perturbed Lambert's Problem

# publications[].label
Uniformly distributed Flower Constellation design study for global navigation system

# publications[].label
ROTATING SYMMETRIES IN SPACE: THE FLOWER CONSTELLATIONS

# publications[].label
LEAST-SQUARES SOLUTION OF A CLASS OF OPTIMAL SPACE GUIDANCE PROBLEMS VIA THEORY OF CONNECTIONS

# publications[].label
Quaternion attitude estimation using vector observations

# publications[].label
The Pyramid Star Identification Technique

# publications[].label
Half-orbital NERVA launcher block for small leo satellites

# publications[].label
Predictive centroiding for single and multiple FOVs star trackers

# publications[].label
Space surveillance with star trackers part II: Orbit estimation

# publications[].label
On the rigid rotation concept in the n-dimensional spaces: Part I

# publications[].label
Initial orbit determination using multiple observations

# publications[].label
Optimizing Flower Constellations for Global Coverage

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Single-point optimal attitude determination using Modified Rodrigues Parameters

# publications[].label
Lost-in-space pyramid algorithm for robust star pattern recognition

# publications[].label
Least-squares solutions of boundary-value problems in hybrid systems

# publications[].label
Second estimator of the optimal quaternion

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
LINEAR DIFFERENTIAL EQUATIONS SUBJECT TO RELATIVE, INTEGRAL, AND INFINITE CONSTRAINTS

# publications[].label
Using the theory of functional connections to create periodic orbits with a linear variable thrust

# publications[].label
A fast on-board autonomous attitude determination system based on a new star-ID technique for a wide FOV star tracker

# publications[].label
Flower Constellation Set Theory Part II: Secondary Paths and Equivalency

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
UNIFORM DISTRIBUTION OF POINTS ON A SPHERE WITH APPLICATION IN AEROSPACE ENGINEERING

# publications[].label
Impulsive orbit correction using second-order Gauss's variational equations

# publications[].label
A COMPREHENSIVE COMPARISON BETWEEN ANGLES-ONLY INITIAL ORBIT DETERMINATION TECHNIQUES

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
How to avoid singularity when using Euler angles?

# publications[].label
A Study on an Optimal Analytical and an Accurate Algorithmic Landing Techniques

# publications[].label
Attitude and orbit error in n-dimensional spaces

# publications[].label
Toward ground-based autonomous telescope attitude estimation using real time star pattern recognition

# publications[].label
AN ADAPTIVE SCHEME ON OPTIMAL NUMBER OF OBSERVATIONS AND TIME INTERVALS FOR AN INITIAL ORBIT DETERMINATION PROBLEM

# publications[].label
MOON AND EARTH IMAGE PROCESSING USING ASYMMETRIC 2-DIMENSIONAL FUNCTIONS ON IMAGE GRADIENT

# publications[].label
Information Theoretic Weighting for Robust Star Centroiding

# publications[].label
POSE ESTIMATION ASSESSMENT USING GEOSYNCHRONOUS SATELLITE IDENTIFICATION

# publications[].label
PERFORMANCE TESTS OF PYRAMID STAR-ID ALGORITHM WITH MEMORY ADAPTIVE K-VECTOR

# publications[].label
ELLIPTICAL FLOWER CONSTELLATIONS FOR GLOBAL COVERAGE

# publications[].label
EULER-q algorithm for attitude determination from vector observations

# publications[].label
Theory of functional connections applied to quadratic and nonlinear programming under equality constraints

# publications[].label
Earth-sun attitude sensor: Hardware design and ground tests

# publications[].label
SATELLITE COLLISION DETECTION AND AVOIDANCE USING STAR TRACKERS

# publications[].label
Least-squares solutions of boundary-value problems in hybrid systems

# publications[].label
The K-Vector ND and its Application to Building a Non-Dimensional Star Identification Catalog

# publications[].label
Stellar Positioning System (Part II): Improving Accuracy During Implementation

# publications[].label
Uni-flower: A novel proposal for university-built nanosatellites in flower constellation

# publications[].label
Constellation Design via Projection of an Arbitrary Shape onto a Flower Constellation Surface

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Stellar Positioning System (Part II): Improving Accuracy During Implementation

# publications[].label
Path optimization for Space Sweeper with Sling-Sat: A method of active space debris removal

# publications[].label
Flower constellations as rigid objects in space

# publications[].label
Theory of Functional Connections Subject to Shear-Type and Mixed Derivatives

# publications[].label
Least-squares solution of a class of optimal space guidance problems via Theory of Connections

# publications[].label
Orbit transfer using Theory of Functional Connections via change of variables

# publications[].label
Optimal cones intersection techniques for attitude pointing error evaluation

# publications[].label
StarNav III: A Three Fields of View Star Tracker

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
THE THEORY OF LATTICE FLOWER FORMATIONS AND ITS APPLICATION TO INTENSITY CORRELATION INTERFEROMETRY

# publications[].publisher
Science and Engineering Publishing Company

# publications[].label
Reconnaissance problem using genetic algorithms

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
ATTITUDE ESTIMATION USING MULTIPLICATIVE MEASUREMENT MODEL

# publications[].label
Fuel-Efficient Powered Descent Guidance on Large Planetary Bodies via  Theory of Functional Connections

# publications[].label
An Analytical Approach to Star Identification Reliability

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
FLORAD Mission: Millimeter-Wave Atmospheric Remote Sensing through Mini-Satellites Flower Constellation

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Constellation design using Flower Constellations

# publications[].label
Fast 2-impulse non-Keplerian orbit-transfer using the Theory of  Functional Connections

# publications[].label
Vision-based navigation in low Earth orbit-Using the stars and horizon as an alternative PNT

# publications[].label
On the rigid rotation concept in the n-dimensional spaces: Part II

# publications[].label
Physics-Informed Neural Networks and Functional Interpolation for Data-Driven Parameters Discovery of Epidemiological Compartmental Models

# publications[].label
New Insights on Flower Constellations Theory

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
POSITION ESTIMATION USING MULTIPLICATIVE MEASUREMENT MODEL

# publications[].label
POSITION ESTIMATION USING IMAGE DERIVATIVE

# publications[].label
IDEAS FOR MULTISPECTRAL CAMERAS WITH STACKED PIXELS FOR STAR TRACKING AND OPTICAL NAVIGATION

# publications[].label
The Theory of Connections: Connecting Points

# publications[].label
The Multivariate Theory of Functional Connections: Theory, Proofs, and  Application in Partial Differential Equations

# publications[].label
LEAST-SQUARES SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
ROBUST TRIAD AND QUAD GENERATION ALGORITHMS FOR STAR TRACKERS

# publications[].label
Ortho-Skew and Ortho-Sym Matrix Trigonometry

# publications[].label
A CLOSED-FORM SOLUTION TO THE MINIMUM Delta V-TOT(2) LAMBERT'S PROBLEM

# publications[].label
Theory of functional connections applied to quadratic and nonlinear   programming under equality constraints

# publications[].label
Energy-optimal trajectory problems in relative motion solved via Theory of Functional Connections

# publications[].label
DEBRIS CATALOG MANAGEMENT AND SELECTION FOR CONJUNCTION ANALYSIS USING K-VECTOR

# publications[].label
Quasi constant-time orbit propagation without solving Kepler's equation

# publications[].label
Sequential Design of Satellite Formations with Invariant Distances

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Results of the first stage development for the Romanian orbital launcher NERVA

# publications[].label
Space System Architectures for Interplanetary Internet

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Advances in the Astronautical Science: Preface

# publications[].label
Constrained optimization of n-impulse periodic close encounter orbits for inspection missions

# publications[].label
Design of Flower Constellations Using Necklaces

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Least-Squares Solution of Linear Differential Equations

# publications[].label
Optimal best-fitting of numerical data: Part II

# publications[].label
Special Issue: The F. Landis Markley Astronautics Symposium Preface

# publications[].label
Analytically Embedding Differential Equation Constraints into Least  Squares Support Vector Machines using the Theory of Functional Connections

# publications[].label
UNIFORM AND WEIGHTED COVERAGE FOR LARGE LATTICE FLOWER CONSTELLATIONS

# publications[].label
N-dimensional cross product and its application to matrix eigenanalysis

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
SP-Search: A new algorithm for star pattern recognition

# publications[].label
ADMISSIBLE N-IMPULSE ORBIT TRANSFER AND RENDEZVOUS SOLVED USING A LEARNING OPTIMIZATION ALGORITHM

# publications[].label
Least-squares Solutions of Eighth-order Boundary Value Problems using  the Theory of Functional Connections

# publications[].label
Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations

# publications[].label
Single-point and Filtered Relative Position Estimation for Visual Docking

# publications[].label
Least-Squares Solutions of Eighth-Order Boundary Value Problems Using the Theory of Functional Connections.

# publications[].label
Synodic and relative Flower Constellations with applications to planetary explorations

# publications[].label
Compass Star Tracker for GPS-Like Applications

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
CONSTRAINED N-IMPULSE PERIODIC CLOSE ENCOUNTERS

# publications[].label
High accuracy least-squares solutions of nonlinear differential equations.

# publications[].label
INFORMATION THEORETIC WEIGHTING FOR ROBUST STAR CENTROIDING

# publications[].label
AN ADAPTIVE AND LEARNING APPROACH TO SAMPLING OPTIMIZATION

# publications[].label
Attitude and position estimation from vector observations

# publications[].label
Novel techniques for creating nearly uniform star catalog

# publications[].label
Analysis of nonlinear Timoshenko-Ehrenfest beam problems with von K?rm?n nonlinearity using the Theory of Functional Connections

# publications[].label
Advances in the Astronautical Sciences: Preface

# publications[].label
Flower Constellations for Future Space Missions

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
STAR CENTROID ON THE F-RADIUS SPHERE USING VON MISES-FISHER PROBABILITY DISTRIBUTION

# publications[].label
Flower constellation of Orbiters for martian communication

# publications[].label
Univariate Theory of Functional Connections Applied to Component Constraints

# publications[].label
System and method for attitude determination based on optical imaging

# publications[].label
Star pattern recognition and mirror assembly misalignment for DIGISTAR II and III multiple FOVs star sensors

# publications[].label
Applications of implicit functions to orbital mechanics problems

# publications[].label
ATTITUDE DYNAMICS INDUCED BY THERMAL TRANSITIONS ON A SPIN STABILIZED CABLE BOOM SYSTEM

# publications[].label
Quasi-equal area subdivision algorithm for uniform points on a sphere with application to any geographical data distribution

# publications[].label
Lost-in-space: A star pattern recognition and attitude estimation approach for the case of no prior attitude information

# publications[].label
Theory of Functional Connections Applied to Linear Discontinuous Differential Equations

# publications[].label
Covariance analysis of Lambert's problem via Lagrange's transfer-time formulation

# publications[].label
MULTIPLICATIVE MEASUREMENT MODEL AND SINGLE-POINT ATTITUDE ESTIMATION

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
User Interface Design for Moon-and-Star Night-Sky Observation Experiments

# publications[].label
Study on optimal filtering for attitude determination applied to the moon-sun sensor

# publications[].label
Orthonormality and Spectral Analysis for Robotics and Astrodynamics

# publications[].label
Analytical Study of Tangent Orbit and Conditions for Its Solution Existence

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Analytically Embedding Differential Equation Constraints into Least Squares Support Vector Machines Using the Theory of Functional Connections.

# publications[].label
ORBIT DETERMINATION USING PRESCRIBED ORBITS

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
A Functional Interpolation Approach to Compute Periodic Orbits in the Circular-Restricted Three-Body Problem

# publications[].label
Conformal Mapping among Orthogonal, Symmetric, and Skew-Symmetric Matrices

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
ESOQ: A closed-form solution to the Wahba problem

# publications[].label
Design of Flower Constellations for Telecommunication Services

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
THE BRAZILIAN AUTONOMOUS STAR TRACKER DEVELOPMENT

# publications[].label
''Galileo Galilei'' flight experiment on the equivalence principle with field emission electric propulsion

# publications[].label
THE THEORY OF CONNECTIONS APPLIED TO PERTURBED LAMBERT'S PROBLEM

# publications[].label
A K-VECTOR APPROACH TO SAMPLING, INTERPOLATION, AND APPROXIMATION

# publications[].label
Fuel-Efficient Powered Descent Guidance on Large Planetary Bodies via Theory of Functional Connections.

# publications[].label
Bijective Mapping Analysis to Extend the Theory of Functional Connections to Non-Rectangular 2-Dimensional Domains.

# publications[].label
Virtual Reality As a Testbed for Star Tracker Algorithms

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
MRAD: Modified Rodrigues Vector attitude determination

# publications[].label
SINGLE-POINT POSITION ESTIMATION IN INTERPLANETARY TRAJECTORIES USING STAR TRACKERS

# publications[].label
Recursive mode star identification algorithms

# publications[].label
ON PRELIMINARY ORBIT DETERMINATION: A NEW APPROACH

# publications[].label
CONTROL OF THE RESTRICTED THREE-BODY PROBLEM

# publications[].label
Position Estimation Using the Image Derivative

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Design of Constellations for Earth Observation with Intersatellite Links

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
ATTITUDE ERROR KINEMATICS: APPLICATIONS IN CONTROL

# publications[].label
Removing Space Debris Through Sequential Captures and Ejections

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
East-West GEO Satellite Station-Keeping with Degraded Thruster Response

# publications[].label
The n-dimensional k-vector with Applications

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Nonlinear Function Inversion using k-vector

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Autonomous position estimation for lunar orbiters Using a visible camera

# publications[].label
Fast and robust kernel generators for star trackers

# publications[].label
Energy approach algorithm for attitude determination from vector observations

# publications[].label
THE THEORY OF CONNECTIONS. PART 1: CONNECTING POINTS

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High-Repetition Millimeter-Wave Passive Remote Sensing of Humidity and Hydrometeor Profiles from Elliptical Orbit Constellations

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Non-dimensional star identification for UN-CALIBRATED star cameras

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The Flower Formation Flying - Part I: Theory

# publications[].label
A LEARNING APPROACH TO SAMPLING OPTIMIZATION APPLIED TO A GLOBAL TRAJECTORY OPTIMIZATION PROBLEM

# publications[].label
Theory of Functional Connections Applied to Linear ODEs Subject to Integral Constraints and Linear Ordinary Integro-Differential Equations

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Performance assessment of the Moon-Sun attitude sensor

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IMPROVED UNIFORM POINTS ON A SPHERE WITH APPLICATION TO ANY GEOGRAPHICAL DATA DISTRIBUTION

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Ortho-skew and ortho-sym matrix trigonometry

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StarNav III: A three fields of view star tracker

# publications[].label
Stellar Positioning System (Part I): An Autonomous Position Determination Solution

# publications[].label
PULSAR NAVIGATION: DEFINING AN UPPER BOUND FOR DISTANCE FROM REFERENCE

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Reliable Global Navigation System using Flower Constellation

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CONIC SECTIONS BY RATIONAL BEZIER FUNCTIONS

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Conically-Scanning Radiometer Design for Satellite Remote Sensing Applications

# publications[].label
Non-Dimensional Star Identification for Un-Calibrated Star Cameras

# publications[].label
Seeking GDOP-optimal Flower Constellations for global coverage problems through evolutionary algorithms

# publications[].label
Flower Constellation of Millimeter-Wave Radiometers for Tropospheric Monitoring at Pseudogeostationary Scale

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
REDUCING WALKER, FLOWER, AND STREETS-OF-COVERAGE CONSTELLATIONS TO A SINGLE CONSTELLATION DESIGN FRAMEWORK

# publications[].label
ATTITUDE ERROR KINEMATICS: APPLICATIONS IN ESTIMATION

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Single-point position estimation in interplanetary trajectories using star trackers

# publications[].label
Orbit transfer using Theory of Functional Connections via change of variables

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
A closed-form solution to the minimum Delta V-tot(2) Lambert's problem

# publications[].label
Analytical Approximate Solutions to Ground Track Adjustment for Responsive Space

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
THE ALGORITHM FOR SOLVING THE PROBLEM OF CHOOSING THE OPTIMAL TWO-TIER SATELLITE SYSTEM STRUCTURE FOR CONTINUOUS SCANNING OF THE SPHERICAL LAYER OF NEAR-EARTH SPACE

# publications[].label
High Accurate Mathematical Tools to Estimate the Gravity Direction Using Two Non-Orthogonal Inclinometers.

# publications[].label
Fast 2-impulse non-Keplerian orbit transfer using the Theory of Functional Connections

# publications[].label
Attitude and orbit error in n-dimensional spaces

# publications[].label
Nondimensional star identification for uncalibrated star cameras

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OPTIMIZATION OF DEBRIS REMOVAL PATH FOR TAMU SWEEPER

# publications[].label
The n-dimensional k-vector and its application to orthogonal range searching.

# publications[].label
Least-Squares Solutions of Nonlinear Differential Equations

# publications[].publisher
American Institute of Aeronautics and Astronautics

# publications[].label
Interplanetary Autonomous Navigation Using Visible Planets

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
Extreme Theory of Functional Connections: A Physics-Informed Neural  Network Method for Solving Parametric Differential Equations

# researcherOn[].awardedBy.label
National Aeronautics and Space Administration - (Washington D.C., District of Columbia, United States)

# researcherOn[].label
Real-Time Optimal Guidance via Theory of Connections (Student: Hunter Johnston)

# researcherOn[].awardedBy.label
National Aeronautics and Space Administration - (Washington D.C., District of Columbia, United States)

# researcherOn[].awardedBy.label
National Aeronautics and Space Administration - (Washington D.C., District of Columbia, United States)

# researcherOn[].label
Improving the Fidelity of General Flexible Multibody Dynamic Simulations (Student: Carl Leake)

# researcherOn[].awardedBy.label
National Aeronautics and Space Administration - (Washington D.C., District of Columbia, United States)

# streetAddress
Texas A&M University; Aerospace Engineering; 3141 TAMU

# etdChairOf[].label
Davis, Jeremy John (2010-08). Constellation Reconfiguration: Tools and Analysis. Doctoral Dissertation.

# etdChairOf[].label
Flewelling, Brien Roy (2012-05). 3D Multi-Field Multi-Scale Features From Range Data In Spacecraft Proximity Operations. Doctoral Dissertation.

# etdChairOf[].label
Schaeperkoetter, Andrew Vernon (2011-12). A Comprehensive Comparison Between Angles-Only Initial Orbit Determination Techniques. Master's Thesis.

# etdChairOf[].label
Abdelkhalik, Osama Mohamed Omar (2005-12). Orbit design and estimation for surveillance missions using genetic algorithms. Doctoral Dissertation.

# etdChairOf[].label
Wilkins, Matthew Paul (2004-12). The Flower Constellations - theory, design process, and applications. Doctoral Dissertation.

# etdChairOf[].label
de Dilectis, Francesco (2014-12). Vision-based Autonomous Navigation using Moon and Earth images. Doctoral Dissertation.

# etdChairOf[].label
Enkh, Mandakh (2011-08). Bouquet: a Satellite Constellation Visualization Program for Walkers and Lattice Flower Constellations. Master's Thesis.

# etdChairOf[].label
Karimi, Reza (2012-05). Designing An Interplanetary Autonomous Spacecraft Navigation System Using Visible Planets. Doctoral Dissertation.

# etdChairOf[].label
Lee, Sang Hyun (2015-05). Coverage Optimization Using Lattice Flower Constellations. Doctoral Dissertation.

# etdChairOf[].label
Bourgeois, Scott K. (2009-12). Rock-Around Orbits. Master's Thesis.

# etdChairOf[].label
Henderson, Troy Allen (2013-08). A Learning Approach To Sampling Optimization: Applications in Astrodynamics. Doctoral Dissertation.

# etdChairOf[].label
Park, Keun Joo (2004-08). GPS receiver self survey and attitude determination using pseudolite signals. Doctoral Dissertation.

# etdChairOf[].label
Missel, Jonathan William (2013-05). Active Space Debris Removal using Capture and Ejection. Doctoral Dissertation.