ONE-DIMENSIONAL, MINIMUM-TIME, THRUST-LIMITED ROCKET TRANSFER IN A RESISTING MEDIUM.
Abstract
Assuming a drag function, a one-dimensional minimum-time problem is formulated for two separate cases. One case assumes an initial mass is given and the other case assumes a final mass is given. The minimum time thrust sequences for Case I and Case II are determined using 'Pontryagin's Maximum Principle.' When an optimal thrust sequence exists for both Case I and Case II to the same point (velocity, distance, final mass coordinates) the Case II thrusting with a coasting phase results in the minimum time. In both cases, introduction of a drag function limited the maximum attainable velocity. Finally, Case II had no optimal thrust sequences defined for initial switching occuring above an 'extreme' velocity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1968
- Accession Number
- AD0832166
Entities
People
- Ronald Dean Trudell
Organizations
- Air Force Institute of Technology