A survey of the attitude representations is given in a single consiste
nt notation and set of conventions. The relations between the various
representations of the attitude, and the kinematic equations are given
completely. The transformations connecting different attitude covaria
nce representations are presented for the case where the errors in the
attitude are sufficiently small that they can be represented by an in
finitesimal rotation. Examples of the use of each representation are p
resented and some historical notes provided.