ToSphericalCoordinates

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`ToSphericalCoordinates`

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ToSphericalCoordinates[{x,y,z}]

gives the {r,θ,ϕ} spherical coordinates corresponding to the Cartesian coordinates {x,y,z}.

Details

ToSphericalCoordinates produces points in the standard range , , .

ToSphericalCoordinates automatically threads over arrays of {x,y,z} triples.

Examples

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Basic Examples (2)Summary of the most common use cases

Convert a general point:

In[1]:=1

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https://wolfram.com/xid/0v5rb59ehoub6-whpml6

Out[1]=1

A specific point:

In[1]:=1

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https://wolfram.com/xid/0v5rb59ehoub6-rar2fc

Out[1]=1

Scope (2)Survey of the scope of standard use cases

Convert several points:

In[1]:=1

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https://wolfram.com/xid/0v5rb59ehoub6-eu2xfu

Out[1]=1

A matrix of points:

In[1]:=1

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https://wolfram.com/xid/0v5rb59ehoub6-q4xfmf

Out[1]=1

Properties & Relations (4)Properties of the function, and connections to other functions

ToSphericalCoordinates[pt] is a special case of CoordinateTransform:

In[2]:=2

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https://wolfram.com/xid/0v5rb59ehoub6-6epzk4

Out[2]=2

ToSphericalCoordinates inverts FromSphericalCoordinates:

In[1]:=1

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https://wolfram.com/xid/0v5rb59ehoub6-sz06xa

Out[1]=1

ToSphericalCoordinates[{x,y,z}] uses spherical coordinates about the axis:

In[1]:=1

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https://wolfram.com/xid/0v5rb59ehoub6-mxdwg7

Out[1]=1

ToPolarCoordinates[{x,y,z}] uses spherical coordinates about the axis:

In[2]:=2

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https://wolfram.com/xid/0v5rb59ehoub6-fs682w

Out[2]=2

The spherical coordinates used by ToPolarCoordinates generalize to higher dimensions:

In[3]:=3

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https://wolfram.com/xid/0v5rb59ehoub6-o5vhod

Out[3]=3

ToSphericalCoordinates changes the coordinate values of points:

In[1]:=1

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https://wolfram.com/xid/0v5rb59ehoub6-8ymbgz

Out[1]=1

TransformedField changes the coordinate expressions for fields:

In[2]:=2

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https://wolfram.com/xid/0v5rb59ehoub6-4naww

Out[2]=2

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