Physics[Vectors][ChangeCoordinates] - change the coordinates in an expression to one of Cartesian, cylindrical and spherical coordinates
Calling Sequence
ChangeCoordinates(A, coordinates)
ChangeCoordinates(A, coordinates, alsothebasis)
Parameters
A
-
any valid Maple expression
coordinates
one of the coordinates identifiers {1, 2, 3}, or one of the related keywords cartesian, cylindrical, or spherical
alsothebasis
optional, to indicate that the unit vectors present in A should also be expressed in terms of the unit vectors associated to coordinates
Description
ChangeCoordinates changes the coordinates of a given expression, possible a vector function, to the indicated system of coordinates. Optionally, when the argument alsothebasis is given, the unit vectors present in A are also rewritten in terms of the unit vectors associated to the system of coordinates indicated. ChangeCoordinates is thus complementary to ChangeBasis. For the conventions used in the Physics[Vectors] subpackage to represent vector functions, see conventions.
The coordinates are changed according to the following. From cartesian to cylindrical :
From cartesian to spherical (note the ordering of the angles):
For the formulas used to change the unit vectors when alsothebasis is passed, see ChangeBasis.
The %ChangeCoordinates is the inert form of ChangeCoordinates, that is: it represents the same mathematical operation while holding the operation unperformed. To activate the operation use value.
Examples
A cartesian projected vector
Vector R projected onto the cartesian basis. Rewrite entering in terms of cylindrical and spherical coordinates
Change also the basis of unit vectors
See Also
convert,VectorCalculus, Physics, Physics conventions, Physics examples, Physics Updates, Tensors - a complete guide, Mini-Course Computer Algebra for Physicists, Physics/Vectors/ChangeBasis, Physics/Vectors/Identify, Physics/Vectors/operations, Physics[Vectors]
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