Hi,

I have come across the following notation / terminology in mechanics,
and I'm seeking other terms from this set. For example, in the case
of rigid body mechanics if Q = SE(3) is the configuration Lie group,
and TeQ = se(3) and Te*Q = se*(3) are its tangent and cotangent spaces
at the identity (i.e., the Lie algebra and coalgebra of SE(3)), then:

phi \in TeQ is a "twist", representing the linear and angular velocity

and

f \in Te*Q is a "wrench", representing force and torque

What about, for example, the pair (linear and angular momentum), an
element of Te*Q? Doesn't he get a name and symbol? How about (linear
and angular acceleration), an element of TeQ? What is her moniker?
Why should first derivatives from the primal space and second
derivatives from the dual space be the only ones so deserving of a
title? What about the poor little second derivatives from the primal
space and neglected little first derivatives from the dual space?
Thanks for your indulgence,

Trevor