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: http://www.stsci.edu/~sontag/spicedocs/cspice/vperp_c.html
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Find the component of a vector that is perpendicular to a second vector. All vectors are 3-dimensional.
None.
VARIABLE I/O DESCRIPTION -------- --- -------------------------------------------------- a I The vector whose orthogonal component is sought. b I The vector used as the orthogonal reference. p O The component of a orthogonal to b.
a is a double precision, 3-dimensional vector. It the vector whose component orthogonal to b is sought. (There is a unique decomposition of a into a sum v + p, where v is parallel to b and p is orthogonal to b. We want the component p.) b is a double precision, 3-dimensional vector. This vector is the vector used as a reference for the decomposition of a.
p is a double precision, 3-dimensional vector containing the the component of a that is orthogonal to b. p may overwrite either a or b.
None.
Given and non-zero vector b and a vector a, there is a unique decomposition of a as a sum v + p such that p is orthogonal to b and v is parallel to b. This routine finds the vector p. If b is a zero vector, p will be identical to a.
The following table gives sample inputs and results from calling vperp_c. a b p ------------------------------------------ (6, 6, 6) ( 2, 0, 0) (0, 6, 6) (6, 6, 6) (-3, 0, 0) (0, 6, 6) (6, 6, 0) ( 0, 7, 0) (6, 0, 0) (6, 0, 0) ( 0, 0, 9) (6, 0, 0)
None.
Error free.
None.
W.L. Taber (JPL)
REFERENCE: Any reasonable calculus text (for example Thomas)
-CSPICE Version 1.2.0, 22-OCT-1998 (NJB) Made input vectors const. -CSPICE Version 1.1.0, 06-MAR-1998 (EDW) Removed non printing character. -CSPICE Version 1.0.0, 08-FEB-1998 (EDW)
perpendicular component of a 3-vector