# Terminology: can I use the world “comoving” to describe a reference frame in which a certain object is at rest?

Here a question about terminology. Suppose I have a particle that is moving at velocity $$\beta$$ in the observer (or laboratory) frame. Now, is it appropriate / legitimate to describe the frame in which such particle is at rest as comoving with the particle? I often found the expression "the reference frame in which the particle is at rest", but in a long manuscript "the reference frame comoving with the particle" makes it more concise.
I ask because the comoving frame is a concept of its own in cosmology.