The Poisson brackets of "'D "'with the angular momentum vector "'L "'can then be written in a similar form
22.
In the rotating frame, the satellite remains at rest, but an observer aboard the satellite sees the gyroscope's angular momentum vector precessing at the rate ?.
23.
By assumption, the perturbing potential is a conservative central force, which implies that the total energy and angular momentum vector "'L "'are conserved.
24.
The three-dimensional momentum vector "'p "'is associated with a four-dimensional vector \ boldsymbol \ eta on a three-dimensional unit sphere
25.
When numerical diffusion applies to the components of the momentum vector, it is called numerical viscosity; when it applies to a magnetic field, it is called numerical resistivity.
26.
The reflection is usually described in terms of a momentum vector, denoted q _ z, which describes the change in momentum of a neutron after reflecting from the material.
27.
The inflow of unwanted forward angular momentum has been routed through the CMGs and dumped into the rotors; the forward component of their total angular momentum vector is now greater than before.
28.
Laplace's name is sometimes applied to the invariable plane, which is the plane perpendicular to a system's mean angular momentum vector, but the two should not be confused.
29.
To relate these constraints, we note that the gradient vector of the kinetic energy with respect to angular velocity vector \ boldsymbol \ omega equals the angular momentum vector \ mathbf { L}
30.
Energy and momentum are interpreted as components of the four-momentum vector, and mass is the magnitude of this vector, so in geometric units these must all have the dimension of length.
