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Convert equation from cartesian to spherical

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glog
#1
Jul2-08, 09:55 AM
P: 18
This should be relitively simple:

y = x ... convert to spherical coords:

p*sin(r)*sin(t) = p*sin(r)*cos(t)

which reduces to...

sin(t) = cos(t)

tan(t) = 1 (is this right?)
t =~ 0.78... (Can i get a nice fraction for this?)

Any help is appreciated.

- glog
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rootX
#2
Jul2-08, 09:59 AM
rootX's Avatar
P: 1,294
Looks good to me.

pi/4

you simply substitute and simplify.
HallsofIvy
#3
Jul2-08, 10:29 AM
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Thanks
PF Gold
P: 39,568
in other words, "y= x" in spherical coordinates reduces to the set of points where t= [itex]\theta= \pi/4[/itex], r= [itex]\phi[/itex] and p= [itex]\rho[/itex] can be anything. Do you see that that is, in fact, the same as the plane y= x?

glog
#4
Jul2-08, 11:04 AM
P: 18
Convert equation from cartesian to spherical

yep makes perfect sense....
only one angle is fixed :)


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