Would the first bit involving the extra be because:
?
I think this would explain where they've got the extra from?
Bit stuck on converting from Cartesian to Spherical:
Let be the spherical surface defined by , and let .
Using SPs , and with
i) Show
ii) Calculate .
i)Well converting to Spherical, we get , so the scalar product gives:
.
Now we also know that , either from using , or from the definition of SPs.
So substituting this in gives:
Which simplifies to:
I'm just at a bit of a loss where they get their extra from?
ii) Integrating this gives us
Which gives , would this be right?
Thanks in advance for any help