Engee documentation

Rodrigues to Quaternions

Creating a quaternion from a finite rotation vector.

rodrigues to quaternion

Description

The block Rodrigues to Quaternions forms the quaternion from the finite rotation vector (Rodrigue vector) 𝛉 using the formula:

where are the Rodrigue-Hamilton parameters [1].

Ports

Input

rod - vector of final rotation
`vector 3 by 1

Finite rotation vector 𝛉 .

Data types: Float64

Output

q - quaternion
`quaternion

Quaternion , given as a 4 by 1 vector.

Data types: Float64

Literature

  1. Lurie A.I. Analytical Mechanics. M.: GIFML, 1961