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April 5th, 2013, 12:23 AM   #1
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Closest Point of Approach (CPA) mathematical formula

Hello guys,

I recently searching for mathematical formula to find closest point of approach (CPA) to be applied to my radar ship program and I can't find the correct ways to calculates it.

anybody know what are the correct formula besides plotting in manually?

any mathematical formula or coding?

thank you very much for anyone that help me. sorry for my bad english.
syamilsynz is offline  
April 5th, 2013, 01:08 PM   #2
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Re: Closest Point of Approach (CPA) mathematical formula

If you have an analytic expression for the distance as a function of time, you could use elementary calculus. This means finding the first derivative and set it equal to 0, etc.
mathman is offline  
April 5th, 2013, 06:36 PM   #3
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Re: Closest Point of Approach (CPA) mathematical formula

okay, I stole data essentially from a post a few back (
see this next link, it shows sample trajectories you can practice on. As per mathman, they stem from analytical functions, so you can create the "difference" function to differentiate etc.

If the link doesn't work, I'll try to post a PNG
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