Accession Number:

AD0607027

Title:

FUNCTIONAL EQUATIONS AND MAXIMUM RANGE

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

• Bellman, Richard

Report Date:

1958-09-24

Pagination or Media Count:

8.0

Abstract:

The current interest in rockets and space travel has aroused a corresponding interest in the determination of maximum range, minimum time, and so on, for various types of trajectories. A variety of questions of this type have been treated by means of the theory of dynamic programming. Here it is shown how to use functional equations to determine the range, the maximum elevation, and similar quantities, as functions of initial position and velocities. Author

Descriptors:

• *EQUATIONS
• DYNAMIC PROGRAMMING
• FUNCTIONS(MATHEMATICS)
• HEIGHT FINDING
• MOTION
• OPTIMIZATION
• POSITION FINDING
• RANGE(DISTANCE)
• TRAJECTORIES
• VELOCITY

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE