
367Motion in Non-Inertial Systems
yA tA t
20 2
1
1
=+=sincos() sincosθω
ω (11.84)
zA tA t
20 2
1
1
=+=sinsin() sinsinθω
ω (11.85)
represent a circular vibration in the YZ-plane of angular frequency ω
1
= ω
0
+ ω in the counterclock-
wise direction. Therefore, we have resolved the original vibration into a linear vibration along the
X-axis of angular frequency ω
0
and two circular vibrations in the YZ-plane of angular frequencies:
ωω ωω
10 20
=− =+
eH
mc
eH
mc
and (11.86)
respectively, where e is the charge of the electron. Because a linear oscillator emits no radiation along its
axis, no radiation of frequency v
0
(= ω
0
/2π) proceeds in the direction ...