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/sci/ - Science & Math

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4808874 No.4808874 [Reply] [Original]

Mathicians of /sci/

Is it possible to express a function and its derivative in itself?

I need to model a function f(t) =(x,y) for the gravity - induced movement of an object in R2.
This is the force working on the object (P Point of Funktion at t; M Point of Mass):
F(P) = (GM)*((xm-xp)²+(ym-yp)²)^(-5/2) * (xm-xp, ym-yp)

The gravity funktion whould look like this:

P(t)=F(P)*t

Is this solveable?
Does somebody know a reference to such a problem?
Is OP really the faggot he seems to be?

>> No.4808876

*function
(I'm german)

>> No.4808896

You made no sense, reword please

You want to find the path of aobject being attracted from a point with newtonian gravity? thats called Kepler problem

>> No.4808908

>>4808896

Kepler problem you say..
this helped a lot! reading through it.

yes i basicly need two functions, one for x and one for y in a cartesian coordinate system.

I use the unit vektor in the direction of the Mass times the distance M-P squared. I forgot to mention M stands for Mass and G for gravity constant in F.

But I always need the Point of the function at t to calculate the function itself..