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:

1968-02-01

Pagination or Media Count:

52.0

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 Pontryagins 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
• Armor

Distribution Statement:

APPROVED FOR PUBLIC RELEASE