Applications of elliptic integrals

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Elliptic integrals are essential in solving various problems in electromagnetism and gravitation. Users seek collections of problems or examples that utilize elliptic integrals. Recommended resources include Ian Sneddon's "The Use of Integral Transforms" and Derek F. Lawden's "Elliptic Functions and Applications." These texts contain exercises and applications relevant to the discussion. Exploring these references can provide valuable insights into the practical uses of elliptic integrals.
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On the page about http://mathworld.wolfram.com/EllipticIntegral.html" it says:

Many other problems in electromagnetism and gravitation are solved by elliptic integrals

Where could I find a collection of such problems? or do you have any nice examples of this?
 
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Try this reference book


The Use of Integral Transforms

by

Ian Sneddon
 
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On the page about http://mathworld.wolfram.com/EllipticIntegral.html" it says:
Where could I find a collection of such problems? or do you have any nice examples of this?
You may look at the excersices in the book

Elliptic Functions and Applications (Applied Mathematical Sciences) [Hardcover] by Derek F. Lawden

https://www.amazon.com/dp/0387969659/?tag=pfamazon01-20
 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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