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Jakob A

How can I Plot this by using ContourPlot?

Jakob A
Posted 10 years ago
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I need help using ContourPlot to make something like the picture below.

The Coordinates for the three circles is: (1500,1200), (1550,2000), (2000,1700)
POSTED BY: Jakob A
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Try something like
ContourPlot[1/((x - 1500)^2 + (y - 1200)^2) + 1/((x - 1550)^2 + (y - 2000)^2) +
  1/((x - 2000)^2 + (y - 1700)^2), {x, 0, 3000}, {y, 0, 3000}]
the peak is not so sharp in the given picture, so it looks rather like
ContourPlot[Log[1/((x - 1500)^2 + (y - 1200)^2)] +
  Log[1/((x - 1550)^2 + (y - 2000)^2)] +
  Log[1/((x - 2000)^2 + (y - 1700)^2)], {x, 0, 3000}, {y, 0, 3000},
PlotPoints -> 50]
but if you prescribe the contours
ContourPlot[
Log[1/((x - 1500)^2 + (y - 1200)^2)] +
  Log[1/((x - 1550)^2 + (y - 2000)^2)] +
  Log[1/((x - 2000)^2 + (y - 1700)^2)], {x, 0, 3000}, {y, 0, 3000},
PlotPoints -> 50, Contours -> Range[40, 80, 5]]
you see, that it's not the Log because the result is mono-colored. 
POSTED BY: Udo Krause
vahid khalili
vahid khalili
Posted 9 years ago
Dear JAKOB
If I'm not making mistake, you mean "how to labale contours" 
If I'm right, you can go to this page for more information about that : 
http://reference.wolfram.com/mathematica/ref/ContourPlot.html

Inadition, for labaling countours you can use this method :
ContourPlot[<function>,{<variable1>,<min>,<max>},{<variable2>,<min>,<max>},...,ContourLabels -> True]

for example:
ContourPlot[Sin[x] Sin[y], {x, -3, 3}, {y, -3, 3},
ContourLabels -> True]

Best regards
Vahid
POSTED BY: vahid khalili
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