Picard-Chebyshev Methods for Long Duration Propagation in Chaotic Dynamical Systems
Abstract
The growing interest in exploring and utilizing the region of space between the Earth and the Moon, referred to as Cislunar space, has spurred a need for sophisticated numerical techniques capable of predicting spacecraft positions over decades, with precision and efficiency. Researchers are faced with significant challenges arising from the complex and chaotic dynamical environment due to the gravitational influences of both the Earth and the Moon on the spacecraft, as well as other intricate phenomenon like solar radiation pressure, which is analogous to wind propelling a yacht. Additionally, the vast distances, extensive volume of space, and limited surveillance opportunities further magnify these challenges. As the number of objects in Cislunar space continues to grow, data association, which is the correlation of observations with a database containing tracked and untracked objects, becomes progressively more demanding.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 06, 2025
- Source ID
- FA95502410219
Entities
People
- Robyn Woollands
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Illinois Urbana–Champaign