S. Gehly
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19 records found
1
Resource Extraction Autonomous Vehicle for Environmental Recovery
Design Synthesis Exercise
This thesis investigates the application of Deep Reinforcement Learning to address this limitation by developing a Deep Contextual Bandit agent for robust CAM planning. The proposed agent generates nearly optimal CAMs accounting for epistemic and aleatory uncertainty in under a second, significantly reducing the runtime compared to traditional numerical approaches. When evaluated on a synthetic database of nearly circular LEO orbits, the agent successfully minimised the worst-case probability of collision in over 90% of the test cases. ...
This thesis investigates the application of Deep Reinforcement Learning to address this limitation by developing a Deep Contextual Bandit agent for robust CAM planning. The proposed agent generates nearly optimal CAMs accounting for epistemic and aleatory uncertainty in under a second, significantly reducing the runtime compared to traditional numerical approaches. When evaluated on a synthetic database of nearly circular LEO orbits, the agent successfully minimised the worst-case probability of collision in over 90% of the test cases.
Improving Thermospheric Density Estimation
The Neural Network Approach
This thesis investigates whether a neural network-based correction to the JB2008 empirical thermospheric density model can improve atmospheric density estimation and, more importantly, whether such improvements translate into better orbit propagation performance. Rather than replacing the empirical model entirely, a hybrid correction framework is developed in which JB2008 provides the baseline density estimate and a lightweight feed-forward neural network learns a correction using baseline density, solar, geomagnetic, spatial and temporally embedded input features. This design is motivated by
the desire to preserve the physical and operational utility of the empirical baseline while still allowing the model to capture systematic, time-varying deviations linked to changing space weather conditions.
To support operational relevance, the methodology is explicitly designed with near-real-time use in mind. The input feature set includes solar and geomagnetic drivers, physically motivated temporal embeddings that represent thermospheric memory effects and trust score features that quantify the reliability of outage-prone high-cadence space weather inputs. The model is trained on accelerometer-derived density data from the CHAMP, GOCE and GRACE missions. A key methodological choice is the use of a simple feed-forward architecture rather than a recurrent sequence model. By embedding
the relevant temporal history directly into the input features, the approach remains compatible with fragmented datasets and avoids dependence on continuous sequences, while still allowing delayed thermospheric responses to be represented.
Model performance is evaluated in two complementary stages. In stage A, the neural network is validated directly against accelerometer-derived density estimates. The results show that the correction model reduces the mean and spread of the log-residual error distribution relative to JB2008 and yields
reconstructed density time series that better match the reference densities in both phase and amplitude. These findings indicate that the model learns more than a static offset correction and captures part of the time-varying thermospheric variability that is not fully represented by the empirical baseline.
In stage B, the corrected density model is assessed in orbit propagation against Swarm A precise orbit determination data over seven validation arcs spanning quiet, moderate and severe geomagnetic conditions. The neural network correction model achieves the lowest overall 24-hour along-track RMS error among the tested density configurations and performs best during disturbed periods, when empirical density models tend to degrade most strongly. This suggests that the learned correction is not only beneficial when reconstructing density, but can also improve orbit propagation performance.
Overall, the results of this thesis indicate that a lightweight neural-network correction to JB2008 can provide a promising and operationally relevant improvement to empirical thermospheric density modelling. In particular, the findings suggest that a comparatively simple feed-forward architecture, when
combined with physically informed temporal feature design and explicit data-reliability indicators, is already capable of learning useful corrections to an empirical baseline. At the same time, the final orbit propagation validation is limited to a single satellite and a restricted set of validation arcs. The results
should therefore be interpreted as a promising proof of concept rather than as definitive evidence of broad operational superiority across all low Earth orbit regimes. Broader POD-based validation across additional satellites, altitude regimes and operational scenarios is required before more general conclusions can be drawn. ...
This thesis investigates whether a neural network-based correction to the JB2008 empirical thermospheric density model can improve atmospheric density estimation and, more importantly, whether such improvements translate into better orbit propagation performance. Rather than replacing the empirical model entirely, a hybrid correction framework is developed in which JB2008 provides the baseline density estimate and a lightweight feed-forward neural network learns a correction using baseline density, solar, geomagnetic, spatial and temporally embedded input features. This design is motivated by
the desire to preserve the physical and operational utility of the empirical baseline while still allowing the model to capture systematic, time-varying deviations linked to changing space weather conditions.
To support operational relevance, the methodology is explicitly designed with near-real-time use in mind. The input feature set includes solar and geomagnetic drivers, physically motivated temporal embeddings that represent thermospheric memory effects and trust score features that quantify the reliability of outage-prone high-cadence space weather inputs. The model is trained on accelerometer-derived density data from the CHAMP, GOCE and GRACE missions. A key methodological choice is the use of a simple feed-forward architecture rather than a recurrent sequence model. By embedding
the relevant temporal history directly into the input features, the approach remains compatible with fragmented datasets and avoids dependence on continuous sequences, while still allowing delayed thermospheric responses to be represented.
Model performance is evaluated in two complementary stages. In stage A, the neural network is validated directly against accelerometer-derived density estimates. The results show that the correction model reduces the mean and spread of the log-residual error distribution relative to JB2008 and yields
reconstructed density time series that better match the reference densities in both phase and amplitude. These findings indicate that the model learns more than a static offset correction and captures part of the time-varying thermospheric variability that is not fully represented by the empirical baseline.
In stage B, the corrected density model is assessed in orbit propagation against Swarm A precise orbit determination data over seven validation arcs spanning quiet, moderate and severe geomagnetic conditions. The neural network correction model achieves the lowest overall 24-hour along-track RMS error among the tested density configurations and performs best during disturbed periods, when empirical density models tend to degrade most strongly. This suggests that the learned correction is not only beneficial when reconstructing density, but can also improve orbit propagation performance.
Overall, the results of this thesis indicate that a lightweight neural-network correction to JB2008 can provide a promising and operationally relevant improvement to empirical thermospheric density modelling. In particular, the findings suggest that a comparatively simple feed-forward architecture, when
combined with physically informed temporal feature design and explicit data-reliability indicators, is already capable of learning useful corrections to an empirical baseline. At the same time, the final orbit propagation validation is limited to a single satellite and a restricted set of validation arcs. The results
should therefore be interpreted as a promising proof of concept rather than as definitive evidence of broad operational superiority across all low Earth orbit regimes. Broader POD-based validation across additional satellites, altitude regimes and operational scenarios is required before more general conclusions can be drawn.
Multiple Target Tracking for Space Object Cataloguing
On Sequential Orbit Determination and Data Association using Random Finite Sets
The selected removal method employs plume impingement: a novel, contactless technique in which high-momentum gas jets are directed at target satellites to induce controlled trajectory changes. This avoids complex capture mechanisms and enables re-entry without requiring physical contact. The mission architecture ensures each target is individually approached and guided toward a controlled re-entry trajectory, before the "shepherd" spacecraft returns to the initial orbit for the next operation. The complete mission concept involves performing numerous controlled approach manoeuvres with each target debris gradually changing its trajectory using a custom-developed momentum transfer and transfer efficiency simulations until the debris reaches an elliptical orbit with a 381km perigee. At its final orbit the debris passively de-orbits within 7.5 months. The developed strategy is proven to be viable for debris ranging from 250- 500 kg and altitudes of 550-630 km. However, the detailed subsystem design is performed for 10 Starlink v1 satellites at 600 km circular orbit as this scenario was deemed most common for an ADR mission considering the abundance of Starlink. The mission is scheduled for deployment in January 2030 and is designed to stay within a 100 million total budget, covering all subsystem development, testing, and launch operations.
Subsystems have been developed in detail: the propulsion subsystem uses bi-propellant thrusters on a two-axis gimbal for precise plume control; the GNC and ADCS subsystems combine LIDAR, IR cameras, reaction wheels, and IMUs for autonomous attitude control, tracking, and detumbling. Power is provided by solar arrays and lithium-ion batteries to operate in the eclipse. Communication is handled via the ESA Estrack network, and all systems are designed for modularity and sustainability. During the final weeks of the DSE exercise, the team will finalise all subsystem designs, refine the plume-based and orbital targeting control algorithms, and integrate all components into a fully verified and validated spacecraft configuration.
...
The selected removal method employs plume impingement: a novel, contactless technique in which high-momentum gas jets are directed at target satellites to induce controlled trajectory changes. This avoids complex capture mechanisms and enables re-entry without requiring physical contact. The mission architecture ensures each target is individually approached and guided toward a controlled re-entry trajectory, before the "shepherd" spacecraft returns to the initial orbit for the next operation. The complete mission concept involves performing numerous controlled approach manoeuvres with each target debris gradually changing its trajectory using a custom-developed momentum transfer and transfer efficiency simulations until the debris reaches an elliptical orbit with a 381km perigee. At its final orbit the debris passively de-orbits within 7.5 months. The developed strategy is proven to be viable for debris ranging from 250- 500 kg and altitudes of 550-630 km. However, the detailed subsystem design is performed for 10 Starlink v1 satellites at 600 km circular orbit as this scenario was deemed most common for an ADR mission considering the abundance of Starlink. The mission is scheduled for deployment in January 2030 and is designed to stay within a 100 million total budget, covering all subsystem development, testing, and launch operations.
Subsystems have been developed in detail: the propulsion subsystem uses bi-propellant thrusters on a two-axis gimbal for precise plume control; the GNC and ADCS subsystems combine LIDAR, IR cameras, reaction wheels, and IMUs for autonomous attitude control, tracking, and detumbling. Power is provided by solar arrays and lithium-ion batteries to operate in the eclipse. Communication is handled via the ESA Estrack network, and all systems are designed for modularity and sustainability. During the final weeks of the DSE exercise, the team will finalise all subsystem designs, refine the plume-based and orbital targeting control algorithms, and integrate all components into a fully verified and validated spacecraft configuration.
For objects in Low Earth Orbit, the Space Surveillance and Tracking segment primarily employs radar, which uses active signals, whose signal strength degrades with the fourth power of the distance. Beyond this orbit regime, passive optical sensors are primarily used, because they do not require an active signal and are therefore able to observe beyond Low Earth Orbit without large power requirements. As a consequence of the sparse optical sensors which have to track the large population of space objects, the optical observing arcs are typically very short: minutes at most. These short optical arcs are called tracklets.
Determining an orbit from a short arc is a challenging problem and is commonly referred to as the too short arc problem. Specifically, this problem entails that a single short arc tracklet is insufficient to construct an orbit with realistic state estimates. In order to obtain accurate state estimates, the object corresponding to the tracklet must be re-observed during a later pass to obtain six independent parameters of high quality. The initial problem to solve, however, is to identify which tracklets are correlated and thus associated with the same object. Thus, tracklet correlation is a critical step in the cataloging of objects. Evaluating and improving the performance of tracklet correlation methods is the key subject of this thesis. The performance is assessed on three key metrics: the association accuracy, the computational efficiency and the robustness.
In the first part of this thesis, tracklet correlation methods are evaluated. The most promising ones have been identified to be the Adapted Gooding method, the BVP optimization and IVP optimization. The performance of these methods is evaluated for different data distribution characteristics and orbit regimes, first without incorporating perturbations in the tracklet correlation methods.
In the second part, the tracklet correlation methods are modified to improve the performance. A major gap in the state of the art has been successfully addressed, namely to incorporate perturbations in the tracklet correlation methods. Results have shown a significant increase in association accuracy. Specifically, tracklet pairs with arbitrary time gap can be associated with the same true positive rate. Moreover, tracklet pairs from different orbit regimes can be associated with a similar true positive rate if the most important perturbations are incorporated.
Finally, the BVP and IVP optimization are found to be robust to noise, while the Adapted Gooding method severely suffers from the perfect measurement assumption. The performance of the latter has been improved by improving the accuracy of the angles through a Least Squares fit. Although the BVP and IVP optimization are robust to noise, the performance is limited by the accuracy of the angle rates, according to the Chi-squared distribution. A novel tracklet correlation method called the BVP-DC2-DC3 is developed to overcome this limitation, achieving an excellent TPR of 100% and a TNR of 99% for the analyzed objects in GEO for tracklets with a measurement noise of one arcsecond. This accuracy is superior to literature. Moreover, the computational efficiency is superior or comparable to literature. Additionally, the BVP-DC2-DC3 has a high robustness, because for the analyzed GEO tracklets with a measurement noise of five arcseconds, a TPR of 100% and a TNR of 95% can still be achieved. ...
For objects in Low Earth Orbit, the Space Surveillance and Tracking segment primarily employs radar, which uses active signals, whose signal strength degrades with the fourth power of the distance. Beyond this orbit regime, passive optical sensors are primarily used, because they do not require an active signal and are therefore able to observe beyond Low Earth Orbit without large power requirements. As a consequence of the sparse optical sensors which have to track the large population of space objects, the optical observing arcs are typically very short: minutes at most. These short optical arcs are called tracklets.
Determining an orbit from a short arc is a challenging problem and is commonly referred to as the too short arc problem. Specifically, this problem entails that a single short arc tracklet is insufficient to construct an orbit with realistic state estimates. In order to obtain accurate state estimates, the object corresponding to the tracklet must be re-observed during a later pass to obtain six independent parameters of high quality. The initial problem to solve, however, is to identify which tracklets are correlated and thus associated with the same object. Thus, tracklet correlation is a critical step in the cataloging of objects. Evaluating and improving the performance of tracklet correlation methods is the key subject of this thesis. The performance is assessed on three key metrics: the association accuracy, the computational efficiency and the robustness.
In the first part of this thesis, tracklet correlation methods are evaluated. The most promising ones have been identified to be the Adapted Gooding method, the BVP optimization and IVP optimization. The performance of these methods is evaluated for different data distribution characteristics and orbit regimes, first without incorporating perturbations in the tracklet correlation methods.
In the second part, the tracklet correlation methods are modified to improve the performance. A major gap in the state of the art has been successfully addressed, namely to incorporate perturbations in the tracklet correlation methods. Results have shown a significant increase in association accuracy. Specifically, tracklet pairs with arbitrary time gap can be associated with the same true positive rate. Moreover, tracklet pairs from different orbit regimes can be associated with a similar true positive rate if the most important perturbations are incorporated.
Finally, the BVP and IVP optimization are found to be robust to noise, while the Adapted Gooding method severely suffers from the perfect measurement assumption. The performance of the latter has been improved by improving the accuracy of the angles through a Least Squares fit. Although the BVP and IVP optimization are robust to noise, the performance is limited by the accuracy of the angle rates, according to the Chi-squared distribution. A novel tracklet correlation method called the BVP-DC2-DC3 is developed to overcome this limitation, achieving an excellent TPR of 100% and a TNR of 99% for the analyzed objects in GEO for tracklets with a measurement noise of one arcsecond. This accuracy is superior to literature. Moreover, the computational efficiency is superior or comparable to literature. Additionally, the BVP-DC2-DC3 has a high robustness, because for the analyzed GEO tracklets with a measurement noise of five arcseconds, a TPR of 100% and a TNR of 95% can still be achieved.
The Geometry of Risk
Novel Metrics for Assessing Satellite Collision Threats
However, the method suffers from high computational costs. This thesis covers the implementation of a new variant of the OCBE, focused on propagation and estimation of state in terms of regularized "EDromo" elements.
The method showcases benefits in terms of estimated state error, and reduced sensitivity to the time gaps between measurements, at the cost of further computational complexity. For future work, suggestions to improve efficiency of the method are also presented. ...
However, the method suffers from high computational costs. This thesis covers the implementation of a new variant of the OCBE, focused on propagation and estimation of state in terms of regularized "EDromo" elements.
The method showcases benefits in terms of estimated state error, and reduced sensitivity to the time gaps between measurements, at the cost of further computational complexity. For future work, suggestions to improve efficiency of the method are also presented.
Strategic Space Monitoring
Surveillance Strategies for LEO Catalogue Generation using Ground-based Optical Sensors
For LEO targets, baseline scanning achieved 0.0116% detection rates and zero redetections, while PAR achieved 23.71% redetection rates across 194 attempts, enabling initial orbit determination. Medium Earth Orbit (MEO) validation revealed regime-dependence. Baseline methods achieved 49-62% MEO redetection versus 0% LEO, while PAR achieved 91.94% MEO versus 23.71% LEO.
Results establish that redetection effectiveness depends on orbital regime. For LEO, where rapid motion prevents fixed-pattern redetections, PAR-based approaches provide redetections for catalogue generation. For MEO, both strategies succeed though PAR maintains superior performance. ...
For LEO targets, baseline scanning achieved 0.0116% detection rates and zero redetections, while PAR achieved 23.71% redetection rates across 194 attempts, enabling initial orbit determination. Medium Earth Orbit (MEO) validation revealed regime-dependence. Baseline methods achieved 49-62% MEO redetection versus 0% LEO, while PAR achieved 91.94% MEO versus 23.71% LEO.
Results establish that redetection effectiveness depends on orbital regime. For LEO, where rapid motion prevents fixed-pattern redetections, PAR-based approaches provide redetections for catalogue generation. For MEO, both strategies succeed though PAR maintains superior performance.
Computationally Efficient Multi-Target Tracking for Space Situational Awareness
C++ Implementation of Advanced MTT Algorithms
To address this gap, a framework was developed to simulate conjunctions between a sail and debris using representative uncertainties to compute collision risk. Analytical and numerical locally-optimal control laws were applied to steer the sail away from conjunctions and minimize maneuver durations while safely reducing the collision risk. The results revealed patterns in the applicability of specific control laws, with maneuver durations ranging from minutes to hours and showing strong dependence on orbital, physical, and conjunction parameters. ...
To address this gap, a framework was developed to simulate conjunctions between a sail and debris using representative uncertainties to compute collision risk. Analytical and numerical locally-optimal control laws were applied to steer the sail away from conjunctions and minimize maneuver durations while safely reducing the collision risk. The results revealed patterns in the applicability of specific control laws, with maneuver durations ranging from minutes to hours and showing strong dependence on orbital, physical, and conjunction parameters.
A baseline tracklet correlation approach, based on the Boundary Value Problem (BVP) within the Admissible Region framework, is implemented. This method uses angular observations and hypothesized ranges to estimate an object's state, with correlations evaluated via a cost function based on the Mahalanobis distance. Classical IOD methods are employed to investigate their application toward validation of tracklet correlation when reconsidering the full angle set. The considered methods include the angles-only Gauss method, a multiple angles least-squares Gauss approach, Gooding’s method, as well as a Batch Least Squares (BLS) orbit determination (OD) method. The BVP and IOD methods consider two-body dynamics, and the BLS Earth's zonal harmonics and third body effects from the Sun and Moon. Simulated measurements are derived from Two Line Element sets (TLE) for initial reference states for LEO, MEO, and GEO objects, propagated with the SGP4 model accounting for Earth's atmospheric drag, zonal harmonics and third body Sun and Moon effects, providing the test data.
Results show that the BVP method performs best for GEO, achieving ~90% true positive rates with reasonable uncertainty gating. For LEO and MEO, higher thresholds and cost-function minima are required due to greater observation complexity and force-model discrepancy. Gooding’s method, making use of a Lambert solver, demonstrated robust performance across multiple orbital revolutions, while Gauss’ methods were less effective for large time gaps. Additionally, BLS struggled with sparse data and large time steps, offering limited state refinement despite higher computational expense.
The findings suggest gating based on chi-squared distribution thresholds for GEO and higher magnitudes for LEO and MEO to optimize true negative rates. While the BVP method provides sufficient accuracy for re-observation scenarios, classical IOD methods and BLS exhibit limitations under sparse tracklet conditions. This work highlights challenges in cataloguing lower-altitude objects, for ground-based optical observations, and suggests the application of the BVP method on lower altitudes requires inclusion of force models for the primary perturbations.
...
A baseline tracklet correlation approach, based on the Boundary Value Problem (BVP) within the Admissible Region framework, is implemented. This method uses angular observations and hypothesized ranges to estimate an object's state, with correlations evaluated via a cost function based on the Mahalanobis distance. Classical IOD methods are employed to investigate their application toward validation of tracklet correlation when reconsidering the full angle set. The considered methods include the angles-only Gauss method, a multiple angles least-squares Gauss approach, Gooding’s method, as well as a Batch Least Squares (BLS) orbit determination (OD) method. The BVP and IOD methods consider two-body dynamics, and the BLS Earth's zonal harmonics and third body effects from the Sun and Moon. Simulated measurements are derived from Two Line Element sets (TLE) for initial reference states for LEO, MEO, and GEO objects, propagated with the SGP4 model accounting for Earth's atmospheric drag, zonal harmonics and third body Sun and Moon effects, providing the test data.
Results show that the BVP method performs best for GEO, achieving ~90% true positive rates with reasonable uncertainty gating. For LEO and MEO, higher thresholds and cost-function minima are required due to greater observation complexity and force-model discrepancy. Gooding’s method, making use of a Lambert solver, demonstrated robust performance across multiple orbital revolutions, while Gauss’ methods were less effective for large time gaps. Additionally, BLS struggled with sparse data and large time steps, offering limited state refinement despite higher computational expense.
The findings suggest gating based on chi-squared distribution thresholds for GEO and higher magnitudes for LEO and MEO to optimize true negative rates. While the BVP method provides sufficient accuracy for re-observation scenarios, classical IOD methods and BLS exhibit limitations under sparse tracklet conditions. This work highlights challenges in cataloguing lower-altitude objects, for ground-based optical observations, and suggests the application of the BVP method on lower altitudes requires inclusion of force models for the primary perturbations.
Four radar measurement strategies were examined to determine the minimum number of observations required for accurate orbit prediction and reacquisition. Strategies that provided full coverage and focused on the closest point of approach (CPA) demonstrated the most reliable results such as the inbound-CPA-outbound method and the changing radar update time. The study also investigated the impact of excluding specific radar measurements, such as range, radial velocity, azimuth, or elevation, on the accuracy of orbit estimation. It was found that a combination of range and angle measurements provided the most accurate results. ...
Four radar measurement strategies were examined to determine the minimum number of observations required for accurate orbit prediction and reacquisition. Strategies that provided full coverage and focused on the closest point of approach (CPA) demonstrated the most reliable results such as the inbound-CPA-outbound method and the changing radar update time. The study also investigated the impact of excluding specific radar measurements, such as range, radial velocity, azimuth, or elevation, on the accuracy of orbit estimation. It was found that a combination of range and angle measurements provided the most accurate results.
Additionally, existing literature on operational scheduling often lacks high-fidelity modelling of onboard resource dynamics. This research addresses this gap by focusing on energy-constrained scenarios, developing novel operational scheduling frameworks suitable for assigning data collection and data downlink tasks for optical space-based SSA missions under such constraints.
To enhance the fidelity of the scheduling process, this research employs both low-fidelity and high-fidelity simulators to model the dynamic behaviour of onboard resources. The developed frameworks are tested in various scenarios to validate their practicality and effectiveness. A significant contribution of this research is the open-source availability of part of the developed scheduling frameworks, utilising software accessible under the TU Delft license. This open-source approach ensures that the research can be extended and built upon by future researchers, fostering ongoing advancements in the field of space-based SSA operations. ...
Additionally, existing literature on operational scheduling often lacks high-fidelity modelling of onboard resource dynamics. This research addresses this gap by focusing on energy-constrained scenarios, developing novel operational scheduling frameworks suitable for assigning data collection and data downlink tasks for optical space-based SSA missions under such constraints.
To enhance the fidelity of the scheduling process, this research employs both low-fidelity and high-fidelity simulators to model the dynamic behaviour of onboard resources. The developed frameworks are tested in various scenarios to validate their practicality and effectiveness. A significant contribution of this research is the open-source availability of part of the developed scheduling frameworks, utilising software accessible under the TU Delft license. This open-source approach ensures that the research can be extended and built upon by future researchers, fostering ongoing advancements in the field of space-based SSA operations.