Modeling and Simulation of Aerospace Vehicle Dynamics

| a A B | = acceleration (first-order tensor) of point B wrt frame A |
| D A(*) | = rotational time derivative of a vector or tensor * wrt frame A |
| d(*)/d t | = ordinary time derivative |
| E | = identity tensor |
| I B C | = inertia tensor (second-order tensor) of body B referred to point C |
| l BA C | = angular momentum (first-order tensor) of body B wrt frame A referred to point C |
| m B | = mass (zeroth-order tensor or scalar) of body B |
| P | = projection tensor (second-order tensor) |
| p A B | = linear momentum (first-order tensor) of particle B wrt frame A |
| R BA | = rotation tensor (second-order tensor) of frame B wrt frame A |
| s BA | = displacement vector (first-order tensor) of point B with respect to (wrt) point A |
| s AB[*] A | = transposed vector or matrix * |
| T BA | = kinetic energy (scalar) of body B wrt frame A |
| v A B | = velocity vector (first-order tensor) of point B wrt frame A |
| ? BA | = angular velocity vector (first-order tensor) of frame B wrt frame A |
| [*] A | = vector or tensor * expressed in the A coordinate system |
| Note | Scalars are represented by lower-case characters, vectors by bold lower- case characters, and tensors by bold upper-case characters. A subscript signifies a point and a superscript signifies a frame. |