for Transfer Design Background: ● - Multibody systems are highly nonlinear and chaotic due to ● balance of forces from planets and moons. - to orbit moons and small bodies, For “low energy” missions ● traditional methods are unable to provide reliable initial guesses to optimizers. Central Concept: Approximate system with directed ● graph. Use to create a transfer skeleton. - Partition domain into small regions. 1 region = 1 node ● - Ballistic dynamics: Add directed edge from node X to node Y ● if region X flows into node Y. Weight = nominal control cost - Impulsive maneuvers: Add directed edge between nodes ● same position with but with different energy levels or headings. Weight is minimum fuel cost between these pairs.
for Transfer Design ● Background: ● - Multibody systems are highly nonlinear and chaotic due to balance of forces from planets and moons. ● - For “low energy” missions to orbit moons and small bodies, traditional methods are unable to provide reliable initial guesses to optimizers. ● Central Concept: Approximate system with directed graph. Use to create a transfer skeleton. ● - Partition domain into small regions. 1 region = 1 node ● - Ballistic dynamics: Add directed edge from node X to node Y if region X flows into node Y. Weight = nominal control cost ● - Impulsive maneuvers: Add directed edge between nodes with same position but with different energy levels or headings. Weight is minimum fuel cost between these pairs.
Eric-Trumbauer-Astro-Astar-Slides.docx