Furthermore, the assumed force is a central force, and thus the angular momentum vector "'L "'is also conserved and defines the plane in which the particle travels.
32.
Where the L _ { k } \ are the components of the angular momentum vector along the principal axes, and the I _ { k } \ are the principal moments of inertia.
33.
BTE considers particle states in terms of position and momentum vectors ( "'x "', "'p "') and this is represented as the sate occupation probability.
34.
For twisting rotation to exist, it is necessary to tilt the body sideways after takeoff, so that there is now a small component of this horizontal angular momentum vector along the body's long axis.
35.
The simplified classical view of the neutron's charge distribution also " explains " the fact that the neutron magnetic dipole points in the opposite direction from its spin angular momentum vector ( as compared to the proton ).
36.
At the end of the century, below, using it to show that the momentum vector "'p "'moves on a circle for motion under an inverse-square central force ( Figure 3 ).
37.
Here the term represents the square of the Euclidean norm ( total vector length ) of the various momentum vectors in the system, which reduces to the square of the simple momentum magnitude, if only a single particle is considered.
38.
Uhlenbeck, Goudsmit, and Kronig introduced the idea of the self-rotation of the electron, which would naturally give rise to an angular momentum vector in addition to the one associated with orbital motion ( quantum numbers and ).
39.
Then the CMG control program will command the gimbal motors of the CMGs to slant the rotors'spin axes gradually more and more forward, so that the angular momentum vectors of the rotors point more nearly along the forward axis.
40.
In the principal axis frame ( which is rotating in absolute space ), the angular momentum vector is " not " conserved even in the absence of applied torques, but varies as described by Euler's equations.
