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Navigation Problem


A problem in the calculus of variations. Let a vessel traveling at constant speed c navigate on a body of water having surface velocity

u=u(x,y)
(1)
v=v(x,y).
(2)

The navigation problem asks for the course which travels between two points in minimal time.


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References

Sagan, H. Introduction to the Calculus of Variations. New York: Dover, pp. 226-228, 1992.

Referenced on Wolfram|Alpha

Navigation Problem

Cite this as:

Weisstein, Eric W. "Navigation Problem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NavigationProblem.html

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