How to solve differential movement equation?

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Ivan
Ivan el 23 de Nov. de 2019
Comentada: darova el 25 de Nov. de 2019
Hi guys,
How to solve following equation and get r(t):
r''(x,y)=1/2m * F(x,y)
r'' - second derivative on time
F(x,y) = eps * (1/r + x/r^2 + y/r^3);
r = sqrt(x^2+y^2)
r(t=0)=sqrt(x0^2+y0^2)
m and eps - constants
Thank you!
  1 comentario
darova
darova el 25 de Nov. de 2019
What do you mean by solving? You have r function. Can't you just get derivatives or r?

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Stijn Haenen
Stijn Haenen el 23 de Nov. de 2019
I dont think you can solve this, a relation between x and y, or x and t, or a direction of the force is required.
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Ivan
Ivan el 24 de Nov. de 2019
The function f(x,y) is know and calculated in each point on the surface (x,y). Do you think it is still impossible to solve this movement equation?

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