Accession Number : AD0832166
Title : ONE-DIMENSIONAL, MINIMUM-TIME, THRUST-LIMITED ROCKET TRANSFER IN A RESISTING MEDIUM.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
Personal Author(s) : Trudell, Ronald Dean
Report Date : FEB 1968
Pagination or Media Count : 52
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)
Descriptors : (*ROCKET TRAJECTORIES, OPTIMIZATION), TRANSFER TRAJECTORIES, DRAG, THRUST, SEQUENCES(MATHEMATICS), TIME, VELOCITY, WEIGHT, RANGE(DISTANCE), COMPUTER PROGRAMS, THESES, MATHEMATICAL MODELS.
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE