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View article: Star Tracker Misalignment Compensation in Deep Space Navigation Through Model-Based Estimation
Star Tracker Misalignment Compensation in Deep Space Navigation Through Model-Based Estimation Open
This work presents a novel adaptive framework for simultaneously estimating spacecraft attitude and sensor misalignment. Uncorrected star tracker misalignment can introduce significant pointing errors that compromise mission objectives in …
View article: A Data-Driven Approach to Estimate LEO Orbit Capacity Models
A Data-Driven Approach to Estimate LEO Orbit Capacity Models Open
Utilizing the Sparse Identification of Nonlinear Dynamics algorithm (SINDy) and Long Short-Term Memory Recurrent Neural Networks (LSTM), the population of resident space objects, divided into Active, Derelict, and Debris, in LEO can be acc…
View article: Adaptive Relative Pose Estimation Framework with Dual Noise Tuning for Safe Approaching Maneuvers
Adaptive Relative Pose Estimation Framework with Dual Noise Tuning for Safe Approaching Maneuvers Open
Accurate and robust relative pose estimation is crucial for enabling challenging Active Debris Removal (ADR) missions targeting tumbling derelict satellites such as ESA's ENVISAT. This work presents a complete pipeline integrating advanced…
View article: The Sustainability of the Leo Orbit Capacity via Risk-Driven Active Debris Removal
The Sustainability of the Leo Orbit Capacity via Risk-Driven Active Debris Removal Open
The growing number of space debris in Low Earth Orbit (LEO) jeopardizes long-term orbital sustainability, requiring efficient risk assessment for active debris removal (ADR) missions. This study presents the development and validation of F…
View article: Quadratic Extended and Unscented Kalman Filter Updates
Quadratic Extended and Unscented Kalman Filter Updates Open
Common filters are usually based on the linear approximation of the optimal minimum mean square error estimator. The Extended and Unscented Kalman Filters handle nonlinearity through linearization and unscented transformation, respectively…
View article: Relative Pose Estimation of an Uncooperative Target with Camera Marker Detection
Relative Pose Estimation of an Uncooperative Target with Camera Marker Detection Open
Accurate and robust relative pose estimation is the first step in ensuring the success of an active debris removal mission. This paper introduces a novel method to detect structural markers on the European Space Agency’s Environmental Sate…
View article: Dynamical Update Maps for Particle Flow with Differential Algebra
Dynamical Update Maps for Particle Flow with Differential Algebra Open
Particle Flow Filters estimate the ``a posteriori" probability density function (PDF) by moving an ensemble of particles according to the likelihood. Particles are propagated under the system dynamics until a measurement becomes available …
View article: Advances in Particle Flow Filters with Taylor Expansion Series
Advances in Particle Flow Filters with Taylor Expansion Series Open
Particle Flow Filters perform the measurement update by moving particles to a different location rather than modifying the particles' weight based on the likelihood. Their movement (flow) is dictated by a drift term, which continuously pus…
View article: Advances in Cislunar Periodic Solutions via Taylor Polynomial Maps
Advances in Cislunar Periodic Solutions via Taylor Polynomial Maps Open
In this paper, novel approaches are developed to explore the dynamics of motion in periodic orbits near libration points in cislunar space using the Differential Algebra (DA) framework. The Circular Restricted Three-Body Problem (CR3BP) mo…
View article: Likelihood Scouting via Map Inversion for a Posterior-Sampled Particle Filter
Likelihood Scouting via Map Inversion for a Posterior-Sampled Particle Filter Open
An exploit of the Sequential Importance Sampling (SIS) algorithm using Differential Algebra (DA) techniques is derived to develop an efficient particle filter. The filter creates an original kind of particles, called scout particles, that …
View article: Markers Identification for Relative Pose Estimation of an Uncooperative Target
Markers Identification for Relative Pose Estimation of an Uncooperative Target Open
This paper introduces a novel method using chaser spacecraft image processing and Convolutional Neural Networks (CNNs) to detect structural markers on the European Space Agency's (ESA) Environmental Satellite (ENVISAT) for safe de-orbiting…
View article: Parameters Evolution in Source-Sink Space Population Evolutionary Models
Parameters Evolution in Source-Sink Space Population Evolutionary Models Open
MOCAT-SSEM is a Source-Sink model that predicts the Low Earth Orbit (LEO) space population divided into families using a predefined set of interaction parameters. Thanks to data from the Monte Carlo version of the model (MOCAT-MC), which p…
View article: Propagation of Uncertainty with the Koopman Operator
Propagation of Uncertainty with the Koopman Operator Open
This paper proposes a new method to propagate uncertainties undergoing nonlinear dynamics using the Koopman Operator (KO). Probability density functions are propagated directly using the Koopman approximation of the solution flow of the sy…
View article: Uncertainty Propagation and Filtering via the Koopman Operator in Astrodynamics
Uncertainty Propagation and Filtering via the Koopman Operator in Astrodynamics Open
The Koopman Operator (KO) provides an analytical solution of dynamical systems in terms of orthogonal polynomials. This work exploits this representation to include the propagation of uncertainties, where the polynomials are modified to wo…
View article: Threat Level Estimation From Possible Break-Up Events In LEO
Threat Level Estimation From Possible Break-Up Events In LEO Open
The NASA Standard Break-Up Model models collisions and explosions in space, which identifies the future distribution of debris. Given a possible break-up event, this work analyses the threat posed by the generated debris in the orbit of an…
View article: A New Monte-Carlo Model for the Space Environment
A New Monte-Carlo Model for the Space Environment Open
This paper introduces a novel Monte Carlo (MC) method to simulate the evolution of the low-earth orbit environment, enhancing the MIT Orbital Capacity Analysis Tool (MOCAT). In recent decades, numerous space environment models have been de…
View article: Effects of Orbit Raising and Deorbiting in Source-Sink Evolutionary Models
Effects of Orbit Raising and Deorbiting in Source-Sink Evolutionary Models Open
The sustainability of the low-Earth-orbit (LEO) environment is threatened by the growing number of anthropogenic space objects planned to be launched in the coming years. This paper investigates the evolution of objects residing in LEO thr…
View article: A Lambert's Problem Solution via the Koopman Operator with Orthogonal Polynomials
A Lambert's Problem Solution via the Koopman Operator with Orthogonal Polynomials Open
Lambert's problem has been long studied in the context of space operations; its solution enables accurate orbit determination and spacecraft guidance. This work offers an analytical solution to Lambert's problem using the Koopman Operator …
View article: A Koopman-Operator Control Optimization for Relative Motion in Space
A Koopman-Operator Control Optimization for Relative Motion in Space Open
A high order optimal control strategy implemented in the Koopman operator framework is proposed in this work. The new technique exploits the Koopman representation of the solution of the equations of motion to develop an energy optimal inv…
View article: Nonlinear Prediction in Marker-Based Spacecraft Pose Estimation with Polynomial Transition Maps
Nonlinear Prediction in Marker-Based Spacecraft Pose Estimation with Polynomial Transition Maps Open
Spacecraft relative state estimation is of paramount importance in the problem of rendezvous with an uncooperative target; indeed, an accurate prediction of its relative position and attitude is crucial for safe proximity operations, espec…
View article: A Koopman Operator Tutorial with Othogonal Polynomials
A Koopman Operator Tutorial with Othogonal Polynomials Open
The Koopman Operator (KO) offers a promising alternative methodology to solve ordinary differential equations analytically. The solution of the dynamical system is analyzed in terms of observables, which are expressed as a linear combinati…
View article: Dynamics Near the Three-Body Libration Points via Koopman Operator Theory
Dynamics Near the Three-Body Libration Points via Koopman Operator Theory Open
This paper investigates the application of the Koopman Operator theory to the motion of a satellite about a libration point in the Circular Restricted Three-Body Problem. Recently, the Koopman Operator has emerged as a promising alternativ…
View article: New developments in nonlinear filtering using differential algebra
New developments in nonlinear filtering using differential algebra Open
This dissertation presents five different solutions to the nonlinear filtering problem. Three filtering techniques present a different systematic generalization of the linear update structure associated with the extended Kalman filter for …