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The rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary anisotropic oscillator in the plane.
L. P. Eisenhart, “Dynamical trajectories and geodesics.” Ann. Math. (Ser 2) 30
1929
Earlier work this paper cites.
B. Bok “The Stability of Moving Clusters,” Harvard College Observatory Circular, 384
1934
Earlier work this paper cites.
H. Mineur, “Équilibre des nuages galactiques et des amas ouverts dans la Voie Lactée. Évolution des amas,” Annales d’Astrophysique 2
1939
Earlier work this paper cites.
C. Chevalley and S. Eilenberg, “Cohomology Theory of Lie Groups and Lie Algebras”, Transactions of the American Mathematical Society 63
1954
Earlier work this paper cites.
J.-M. Lévy-Leblond, in Group Theory and Applications
1972
Earlier work this paper cites.
A. Kirillov, Elements of the Theory of Representations, Springer, New York (1976)
1976
Earlier work this paper cites.
P. A. Horvathy and L. Úry, “Analogy between statics and dynamics – related to variational mechanics,” Acta Phys. Hung. 42
1979
Earlier work this paper cites.
C. Duval, G. Burdet, H. P. Künzle, M. Perrin, “Bargmann Structures And Newton-Cartan Theory.” Phys. Rev. D31
1980
Earlier work this paper cites.
R. Giachetti, “Hamiltonian systems with symmetry: An introduction” La Rivista Del Nuovo Cimento Series 3, 4
1981
Earlier work this paper cites.
U. Niederer, “The maximal kinematical invariance group of the harmonic oscillator,” Helvetica Physica Acta 46
1985
Earlier work this paper cites.
J. Binney and S. Tremaine, Galactic Dynamics
1987
Earlier work this paper cites.
V.I. Arnold, Mathematical Methods of Classical Mechanics
1989
Cited alongside, same era.
T. Tjin, “Finite W-algebras,” Phys. Lett. B292
1992
Cited alongside, same era.
J.-M. Souriau, Structure des systèmes dynamiques
1997
Cited alongside, same era.
Y. Brihaye, C. Gonera, S. Giller, and P Kosiński, “Galilean invariance in 2 + 1 2+1 dimensions,” [hep-th/9503046] (unpublished); D. R. Grigore, “The projective unitary irreducible representations of the Galilei group in 1 + 2 1+2 dimensions,” Journ. Math. Phys. 37
1997
Cited alongside, same era.
M. C. Gutzwiller, “Moon-Earth-Sun: The oldest three-body problem,” Rev. Mod. Phys. 70
1998
Cited alongside, same era.
P. M. Zhang and P. A. Horvathy, “Kohn’s theorem and Galilean symmetry,” Phys. Lett. B702
Pini Gurfil, N. Jeremy Kasdin and Egemen Kolemen, “Hamilton-Jacobi modelling of stellar dynamics,” Advances in Space Research 36
2005
Later among the works it cites.
2007
Later among the works it cites.
The vast literature includes H. Bacry, J.-M. Lévy-Leblond, “Possible kinematics,” J. Math. Phys. 9
2010
Later among the works it cites.
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
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2000
Cited alongside, same era.
T. Fukushige and D. C. Heggie, “The time scale of escape from star clusters,” Mon. Not. Roy. Astron. Soc. 318
2000
Cited alongside, same era.
D. Heggie, “Escape in Hill’s Problem,” in: B.A. Steves, A.J. Maciejewski (Eds.), The Restless Universe
2001
Cited alongside, same era.
S. Bellucci, A. Nersessian, C. Sochichiu, “Two phases of the noncommutative quantum mechanics,” Phys. Lett. B522
2001
Cited alongside, same era.
R. Banerjee and Subir Ghosh, “The chiral oscillator and its applications in quantum theory”, J.Phys. A31
2002
Cited alongside, same era.
P. A. Horváthy, “The non-commutative Landau problem,” Ann. Phys. (N. Y.) 299
2005
Cited alongside, same era.
G. W. Hill, “Researches in the Lunar Theory,” Amer Jour. of Mathematics 1
Cited in the paper.
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
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2012
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2012
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2012
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