Article PDF first page preview

Article PDF first page preview
1.
Y.
Zarmi
, “
The Bertrand theorem revisited
,”
Am. J. Phys.
70
,
446
449
(
2002
).
2.
M.
Berrondo
,
J.
Flores
, and
O.
Novaro
, “
La magia de las órbitas elı́pticas
,”
Rev. Mex. Fis.
23
,
E13
E26
(
1974
).
3.
J. L.
Castro-Quilantán
,
J. L.
Del Rı́o-Correa
, and
M. A.
Rosales
, “
Alternative proof of Bertrand’s theorem
,”
Rev. Mex. Fis.
42
,
844
866
(
1996
);
M. A.
Rosales
,
J. L.
Del Rı́o-Correa
, and
J. L.
Castro-Quilantán
, “
Phase space approach to the orbits in central force fields
,”
Rev. Mex. Fis.
42
,
349
359
(
1996
).
4.
V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, New York, 1978), pp. 37–38.
5.
R. P.
Martı́nez-y-Romero
,
H. N.
Núñez-Yépez
, and
A. L.
Salas-Brito
, “
Closed orbits and constants of motion in classical mechanics
,”
Eur. J. Phys.
13
,
26
31
(
1992
).
6.
A. L.
Salas-Brito
,
H. N.
Núñez-Yépez
, and
R. P.
Martı́nez-y-Romero
, “
Superintegrability in classical mechanics: A contemporary approach to Bertrand’s theorem
,”
Int. J. Mod. Phys. A
12
,
271
276
(
1997
).
7.
R. P.
Martı́nez-y-Romero
,
H. N.
Núñez-Yépez
, and
A. L.
Salas-Brito
, “
The Hamilton vector as an extra constant of motion in Kepler problem
,”
Eur. J. Phys.
14
,
71
73
(
1993
).
8.
H.
Kaplan
, “
The Runge–Lenz vector as an ‘extra’ constant of the motion
,”
Am. J. Phys.
54
,
157
161
(
1986
).
9.
H. V. McIntosh, “Symmetry and degeneracy,” in Group Theory and its Applications, edited by E. M. Loebl (Academic, New York, 1971), Vol. II, p. 82.
This content is only available via PDF.
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.