Solution of the Airplane Minimum Time Problem by Huygens' Principle Lockheed-California Div., Lockheed Aircraft

Format:

Conference/Event

Author/Creator:

Heermann, Hugo, author.

Conference Name:

Aeronautic and Space Engineering and Manufacturing Meeting (1965-10-04 : Los Angeles, California, United States)

Language:

English

Physical Description:

1 online resource

Place of Publication:

Warrendale, PA SAE International 1965

Summary:

The relationship between Huygen's principle in geometrical optics and the calculus of variations is examined. It is found that the calculus of variations is a straightforward generalization of the theory of geometrical optics. As a consequence, a new and simplified approach to the calculus of variations is obtained. This approach reduces problems in the calculus of variations to problems in ordinary maxima and minima in the calculus. The approach rests heavily on the early work of C. Huygens, 1690, and John Bernoulli, 1718, and its extension by W. Hamilton and C. Caratheodory. New numerical techniques, suggested by this approach are examined and compared and two of these are applied to the airplane minimum time problem

Notes:

Vendor supplied data

Publisher Number:

650784

Access Restriction:

Restricted for use by site license