Check my formulas

  • #1
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Main Question or Discussion Point

For a 2 Body Equation:

[tex]x = - \frac{1}{2} \frac{GM}{r^2}cos(\theta) cos(\phi) t^2 +v_x t + x_0[/tex]
[tex]y= - \frac{1}{2} \frac{GM}{r^2} sin(\theta) cos(\phi) t^2 +v_y t + y_0[/tex]
[tex]z= - \frac{1}{2} \frac{GM}{r^2} sin(\phi) t^2 +v_z t + z_0[/tex]


[tex]r= sqrt(x^2 + y^2 + z^2)[/tex]
[tex]\theta = atan(\frac{y}{x})[/tex]
[tex]\phi = acos(\frac{z}{r})[/tex]

Given:[tex]v_x, v_y, v_z, x_0, y_0, z_0 and M.[/tex]

Now all I have to solve for t.
 

Answers and Replies

  • #2
SteamKing
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I see a bunch of formulas. What do they represent?
 
  • #3
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I am working in Cartesian Coordinates. I want to solve for x, y, z and t. I want to do this in Newtonian Physics.

For the fourth equation in the four equations and four unknowns I choose the geodesic:

[tex](\frac{dx}{dt})^2 + (\frac{dy}{dt})^2 + (\frac{dz}{dt})^2 = 0[/tex]

Are the geodesic, the x equation, the y equation, and the z equation (above) correct?
 
Last edited:
  • #4
Simon Bridge
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I am working in Cartesian Coordinates. I want to solve for x, y, z and t. I want to do this in Newtonian Physics.
You want to solve for x,y,z, and t, for what?

Are the geodesic, the x equation, the y equation, and the z equation (above) correct?
It is not possible to tell since you won't tell us what these equations are supposed to represent. What system are you attempting to model?

I suspect that the equations are not correct.
 

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