Origin vector to place north pole at specified point

`origin = putpole(pole)`

origin = putpole(pole,units)

`origin = putpole(pole)`

returns
an `origin`

vector required to transform a coordinate
system in such a way as to put the true North Pole at a point specified
by the three- (or two-) element vector `pole`

. This
vector is of the form `[latitude longitude meridian]`

,
specifying the coordinates in the original system at which the true
North Pole is to be placed in the transformed system. The meridian
is the longitude upon which the new system is to be centered, which
is the new pole longitude if omitted. The output is a three-element
vector of the form `[latitude longitude orientation]`

,
where the latitude and longitude are the coordinates in the untransformed
system of the new origin, and the orientation is the azimuth of the
true North Pole in the transformed system.

`origin = putpole(pole,units)`

allows
the specification of the angular units of the `origin`

vector,
where * units* is any valid angle units string.
The default is

`'degrees'`

.Pull the North Pole down the 0º meridian by 30º to 60ºN. What is the resulting origin vector?

origin = putpole([60 0]) origin = 30.0000 0 0

This makes sense: when the pole slid down 30º, the point that was 30º north of the origin slid down to become the origin. Following is a less obvious transformation:

origin = putpole([60 80 0]) % constrain to original central % meridian origin = 4.9809 0 29.6217 origin = putpole([60 80 40]) % constrain to arbitrary meridian origin = 4.9809 40.0000 29.6217

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