An explicit normalized Haar measure on SO(3)_p is obtained in nautical coordinates with a factorized density in the three angles via p-adic change of variables from the quaternion group.
Invariant measures onp-adic Lie groups: thep-adic quaternion algebra and the Haar integral on thep-adic rotation groups
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The Haar measure of the $p$-adic rotation group $\textrm{SO}(3)_p$ via nautical angles
An explicit normalized Haar measure on SO(3)_p is obtained in nautical coordinates with a factorized density in the three angles via p-adic change of variables from the quaternion group.