Fetching the paper…
Reading the bibliography…
Hill's equations, which first arose in the study of the Earth-Moon-Sun system, admit the two-parameter centrally extended Newton-Hooke symmetry without rotations.
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.
S. Chandrasekhar, Principles of Stellar Dynamics
1942
Earlier work this paper cites.
W. Kohn, “Cyclotron resonance and de Haas-van Alphen oscillations of an interacting electron gas”, Phys. Rev. 123
1961
Earlier work this paper cites.
H. Bacry and M. Lévy-Leblond, “Possible kinematics,” J. Math. Phys. 9
1967
Earlier work this paper cites.
C. Duval, Quelques procédures géometriques en dynamique des particules
1982
Earlier work this paper cites.
C. Duval, “Nonrelativistic Conformal Symmetries And Bargmann Structures,”Conformal Groups and Related Symmetries,” Clausthal 1985. Proceedings, pp. 162-182
1985
Earlier work this paper cites.
H. Bacry and J. Nuyts, “Classification of ten-dimensional kinematic groups with space isotropy,” J. Math. Phys. 27
1986
Earlier work this paper cites.
J. Binney and S. Tremaine, Galactic Dynamics
1987
Earlier work this paper cites.
R. Jackiw, Ann. Phys. 201
1990
Earlier work this paper cites.
C. Duval, G. Burdet, H. P. Kunzle and M. Perrin, “Bargmann Structures and Newton-Cartan Theory,” Phys. Rev. D 31
1991
Cited alongside, same era.
K. S. Oh, D. N. C. Lin, S. J. Aarseth, “Tidal evolution of globular clusters. I - Method,” ApJ 386
1992
Cited alongside, same era.
C. Duval, Z. Horvath, P. A. Horvathy and L. Palla, “Non-relativistic mechanics and plane-fronted gravitational waves,” unpublished notes (1994)
1994
Cited alongside, same era.
J.-M. Souriau, Structure des systèmes dynamiques
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.
G. Tanner, K. Richter and J.-M. Rost, “The theory of two-electron atoms: between ground state and complete fragmentation,” Rev. Mod. Phys. 72
Pini Gurfil, N. Jeremy Kasdin and Egemen Kolemen, Advances in Space Research 36
2005
Later among the works it cites.
Clifford M. Will, Living Rev. Relativity 9
2006
Later among the works it cites.
2007
Later among the works it cites.
J. Gomis and J. Lukierski, Phys. Lett. B 664
2008
Later among the works it cites.
F. -L. Liu and Y. Tian, Phys. Lett. A 372
2008
Later among the works it cites.
C. Duval, M. Hassaine and P. A. Horvathy, “The geometry of Schrödinger symmetry in non-relativistic CFT,” Ann. Phys. 324
2009
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2000
Cited alongside, same era.
T. J. Stuchi, A. C. B. Antunes, and M. A. Andreu, “Muonic helium atom as a classical three-body problem” Phys. Rev. E 62
2000
Cited alongside, same era.
C. Duval and P. A. Horvathy and L. Palla, “Conformal properties of Chern-Simons vortices in external fields.” Phys. Rev. D50
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.
R. Banerjee, Mod. Phys. Lett. A17
2002
Cited alongside, same era.
G. W. Hill, “Researches in the Lunar Theory,” Am. J. Math. 1
Cited in the paper.
Later among the works it cites.
G. W. Gibbons and C. N. Pope, “Kohn’s Theorem, Larmor’s Equivalence Principle and the Newton-Hooke Group,” Ann. Phys. 326
2011
Closest in time.
P. M. Zhang and P. A. Horvathy, “Kohn’s theorem and Galilean symmetry,” Phys. Lett. B702
2011
Closest in time.
G. W. Gibbons, and C. E. Patricot, Class. Quant. Grav. 20
2011
Closest in time.
C. Duval and P. A. Horvathy, J. Phys. A42
2011
Closest in time.
P. M. Zhang, P. A. Horvathy, “Kohn condition and exotic Newton-Hooke symmetry in the non-commutative Landau problem,” Phys. Lett. B 706
2012
Closest in time.