Low-Thrust Reachability Analysis by Analytical Means
Abstract
This thesis presents a novel algorithm supporting orbit determination of noncooperative, low-thrust maneuvering spacecraft. The algorithm, as a generic procedure, guides an analyst through a defined process and returns data to enable further analytic understanding. The algorithm consists of a basic guidance scheme for maneuvering the spacecraft from one orbit to another and estimates the likely costs in terms of time or. Pontryagin's maximum principle is employed to test optimality and Gauss's variational equations of motion are employed in a restricted two-body dynamics model. This work examines methods to extend the applicability of historical efforts through the use of scaling factors to reduce error across the sample space. A novel approximation approach is developed to universalize computational strategies for estimating the costs of changing the semimajor axis of a satellite. As a result, this procedure can be implemented through any available programming language and does not require the use of advanced mathematical libraries, maximizing interoperability with existing mission-management tools and processes. As an example, this algorithmic process can be used to support a reachability assessment of a noncooperative spacecraft in cislunar space.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 2023
- Accession Number
- AD1213287
Entities
People
- Daniel A. Gregorio
Organizations
- Naval Postgraduate School