How to solve differential movement equation?

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!

[darova]

What do you mean by solving? You have r function. Can't you just get derivatives or r?

Answer 1

[Stijn Haenen]

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.

[Ivan]

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?