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Adiabatic invariance. IV. Note on a new method for Lorentz's pendulum problem
.\NN
\LS
OF
J'HYSIC‘S:
27, $25-428
Abstracts
of
(1964)
Papers
to Appear
in Future
Issues
111 the rcluation of the t,itle, 0 = w(t) is a slowly varying function of t for - E < I < z If w is replaced by a constant equal to the momentary value W, at t = 7. the modified equ:tticIn has an integral
and for appropriate and .\-, of period
,\ssociated
with
I-, and (’ > 0, there
this
there
is an “adiabatic
It is shown t,hat J(t) is constant the slou-ness of variation of w.
in - z
is a “rnornentary”
periodic
motion
between
s = S’
invariant”
< f < CC to error
0(e”2),
whew
e is a measure
of
.I/liabutic Inmrictnce. IT.. ,\‘ote on CL A\Te~r: Method j”or Lorentz’s Pendulum Problenl. J. E. I,IWI.EWOOI~, Trinity College, Cambridge, England. The Note sketches an alternative met.hod for the problem, which was discussed in another paper. The new method seems likely to be better suited than the old for a discussion and it has some formal inkrest.
\LS
OF
J'HYSIC‘S:
27, $25-428
Abstracts
of
(1964)
Papers
to Appear
in Future
Issues
111 the rcluation of the t,itle, 0 = w(t) is a slowly varying function of t for - E < I < z If w is replaced by a constant equal to the momentary value W, at t = 7. the modified equ:tticIn has an integral
and for appropriate and .\-, of period
,\ssociated
with
I-, and (’ > 0, there
this
there
is an “adiabatic
It is shown t,hat J(t) is constant the slou-ness of variation of w.
in - z
is a “rnornentary”
periodic
motion
between
s = S’
invariant”
< f < CC to error
0(e”2),
whew
e is a measure
of
.I/liabutic Inmrictnce. IT.. ,\‘ote on CL A\Te~r: Method j”or Lorentz’s Pendulum Problenl. J. E. I,IWI.EWOOI~, Trinity College, Cambridge, England. The Note sketches an alternative met.hod for the problem, which was discussed in another paper. The new method seems likely to be better suited than the old for a discussion and it has some formal inkrest.