How to solve differential movement equation?

2 vues (au cours des 30 derniers jours)
Ivan
Ivan le 23 Nov 2019
Commenté : darova le 25 Nov 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 commentaire
darova
darova le 25 Nov 2019
What do you mean by solving? You have r function. Can't you just get derivatives or r?

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Réponses (1)

Stijn Haenen
Stijn Haenen le 23 Nov 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.
  1 commentaire
Ivan
Ivan le 24 Nov 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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