- #36
fluidistic
Gold Member
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Ok before putting an end to this thread, I'd like some help to get the initial conditions.
The initial position of the mass is (0,1,0) in Cartesian coordinates. So it makes [tex](1,\pi /2,\pi /2)[/tex] in spherical.
The initial velocity of the mass is (0,0,-1/2) in Cartesian coordinates. I'm not sure how to convert this into spherical ones.
An attempt of mine is to write [tex]\vec v_0=-\frac{1}{2}\hat z=\frac{\sin (\theta) \hat \theta}{2}-\frac{\cos (\theta)\hat r}{2}[/tex]. I don't know how to proceed from here.
Edit: Hmm, is it just [tex](1/2,0, \pi)[/tex]?
Edit 2: Well I think so. This would mean [tex]\dot r (0)=1/2[/tex], [tex]\dot \phi (0)=0[/tex] and [tex]\dot \theta (0)=\pi[/tex]. I hope someone can confirm this.
The initial position of the mass is (0,1,0) in Cartesian coordinates. So it makes [tex](1,\pi /2,\pi /2)[/tex] in spherical.
The initial velocity of the mass is (0,0,-1/2) in Cartesian coordinates. I'm not sure how to convert this into spherical ones.
An attempt of mine is to write [tex]\vec v_0=-\frac{1}{2}\hat z=\frac{\sin (\theta) \hat \theta}{2}-\frac{\cos (\theta)\hat r}{2}[/tex]. I don't know how to proceed from here.
Edit: Hmm, is it just [tex](1/2,0, \pi)[/tex]?
Edit 2: Well I think so. This would mean [tex]\dot r (0)=1/2[/tex], [tex]\dot \phi (0)=0[/tex] and [tex]\dot \theta (0)=\pi[/tex]. I hope someone can confirm this.
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