Re: Euler rotation angles

• To: mathgroup at smc.vnet.net
• Subject: [mg46746] Re: Euler rotation angles
• From: bobhanlon at aol.com (Bob Hanlon)
• Date: Fri, 5 Mar 2004 01:46:52 -0500 (EST)
• References: <c26gc5\$e28\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Mathematica can find a set of angles but the rotations are not unique

Needs["Geometry`Rotations`"];

vec1 = {1, 2, 3};

vec2 = Rotate3D[vec1, .25, .1, .4];

soln=FindRoot[eqn, {{phi, .1, .2}, {theta, .2, .3}, {psi, .3, .4}}]

{phi -> -1.3171,
theta -> 0.112368, psi -> 1.78946}

(Rotate3D[vec1, phi, theta, psi]-vec2) /. soln // Chop

{0,0,0}

Bob Hanlon

In article <c26gc5\$e28\$1 at smc.vnet.net>, sam_campbell at hotmail.com (S. Campbell)
wrote:

<< Can anyone help me with the following? I have two vectors, one rotated
with respect to the other, and I wish to find the Euler rotation
angles that connect the vectors. Can mathematica tell me what the
required angles are?

```

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