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How to solve differential movement equation?

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Ivan
Ivan 2019-11-23
评论： darova 2019-11-25
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 个评论
darova
darova 2019-11-25
What do you mean by solving? You have r function. Can't you just get derivatives or r?

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回答（1 个）

Stijn Haenen
Stijn Haenen 2019-11-23
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.
  1 个评论
Ivan
Ivan 2019-11-24
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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