-
2
-
-
34250587350
-
Über die integrale des vielkörper-problems
-
H. Bruns, "Über die Integrale des Vielkörper-Problems," Acta Math. 11, 25-96 (1887).
-
(1887)
Acta Math.
, vol.11
, pp. 25-96
-
-
Bruns, H.1
-
3
-
-
77951516344
-
Sur le problème des trois corps et les équations de la dynamique
-
H. Poincaré, "Sur le Problème des Trois Corps et les Équations de la Dynamique," Acta Math. 13, 1-270 (1890).
-
(1890)
Acta Math.
, vol.13
, pp. 1-270
-
-
Poincaré, H.1
-
6
-
-
1542491033
-
Memorie sur le problkème des trois corps
-
K. F. Sundman, "Memorie sur le Problkème des Trois Corps," Acta Math. 36, 105-179 (1912).
-
(1912)
Acta Math.
, vol.36
, pp. 105-179
-
-
Sundman, K.F.1
-
7
-
-
22244441450
-
Topology and mechanics
-
S. Smale, "Topology and mechanics," Invent. Math. 10, 305-331 (1970); 11, 45-64 (1970).
-
(1970)
Invent. Math.
, vol.10
, pp. 305-331
-
-
Smale, S.1
-
8
-
-
22244456049
-
-
S. Smale, "Topology and mechanics," Invent. Math. 10, 305-331 (1970); 11, 45-64 (1970).
-
(1970)
Invent. Math.
, vol.11
, pp. 45-64
-
-
-
9
-
-
0000848030
-
Some topology of the 3-body problem
-
R. Easton, "Some topology of the 3-body problem," J. Diff. Eqns. 10, 371-377 (1971).
-
(1971)
J. Diff. Eqns.
, vol.10
, pp. 371-377
-
-
Easton, R.1
-
10
-
-
0005194169
-
The effects of integrals on the totality of solutions of dynamical systems
-
K. Zare, "The effects of integrals on the totality of solutions of dynamical systems," Celest. Mech. 14, 73-83 (1976).
-
(1976)
Celest. Mech.
, vol.14
, pp. 73-83
-
-
Zare, K.1
-
11
-
-
0009125478
-
Bifurcation points in the planar problem of three bodies
-
K. Zare, "Bifurcation points in the planar problem of three bodies," Celest. Mech. 16, 35-38 (1977).
-
(1977)
Celest. Mech.
, vol.16
, pp. 35-38
-
-
Zare, K.1
-
12
-
-
0000005044
-
Properties of the moment of inertia in the problem of three bodies
-
K. Zare, "Properties of the moment of inertia in the problem of three bodies," Celest. Mech. 24, 345-354 (1981).
-
(1981)
Celest. Mech.
, vol.24
, pp. 345-354
-
-
Zare, K.1
-
13
-
-
0039299805
-
Hill stability in the unrestricted three-body problem
-
V. G. Golubev, "Hill stability in the unrestricted three-body problem," Sov. Phys. Dokl. 13, 373-5 (1968).
-
(1968)
Sov. Phys. Dokl.
, vol.13
, pp. 373-375
-
-
Golubev, V.G.1
-
14
-
-
0041078921
-
Hill regions for the general three-body problem
-
C. Marchai and D. Saari, "Hill regions for the general three-body problem," Celest. Mech. 12, 115-129 (1975).
-
(1975)
Celest. Mech.
, vol.12
, pp. 115-129
-
-
Marchai, C.1
Saari, D.2
-
16
-
-
84968514104
-
Differentiate dynamical systems
-
S. Smale, "Differentiate dynamical systems," Bull. Am. Math. Soc. 73, 747-817 (1967).
-
(1967)
Bull. Am. Math. Soc.
, vol.73
, pp. 747-817
-
-
Smale, S.1
-
17
-
-
0003119994
-
Quasirandom dynamical systems I, II, III
-
V. M. Alekseev, "Quasirandom dynamical systems I, II, III," Math. USSR Sbornik 5, 73-128 (1968); 6, 505-560 (1968); 7, 1-43 (1969).
-
(1968)
Math. USSR Sbornik
, vol.5
, pp. 73-128
-
-
Alekseev, V.M.1
-
18
-
-
0003119994
-
-
V. M. Alekseev, "Quasirandom dynamical systems I, II, III," Math. USSR Sbornik 5, 73-128 (1968); 6, 505-560 (1968); 7, 1-43 (1969).
-
(1968)
Math. USSR Sbornik
, vol.6
, pp. 505-560
-
-
-
19
-
-
0039338106
-
-
V. M. Alekseev, "Quasirandom dynamical systems I, II, III," Math. USSR Sbornik 5, 73-128 (1968); 6, 505-560 (1968); 7, 1-43 (1969).
-
(1969)
Math. USSR Sbornik
, vol.7
, pp. 1-43
-
-
-
21
-
-
0009024936
-
The existence of oscillatory motions in the three-body problem
-
K. Sitnikov, "The existence of oscillatory motions in the three-body problem," Sov. Phys. Dokl. 5(4), pp. 647-650 (1961).
-
(1961)
Sov. Phys. Dokl.
, vol.5
, Issue.4
, pp. 647-650
-
-
Sitnikov, K.1
-
22
-
-
0040484930
-
An integrable case of the restricted problem of three bodies
-
W. D. MacMillan, "An integrable case of the restricted problem of three bodies," Astron. J. 27, 11-13 (1913).
-
(1913)
Astron. J.
, vol.27
, pp. 11-13
-
-
MacMillan, W.D.1
-
23
-
-
85033875554
-
The original sitnikov article - New insights
-
Springer-Verlag, Vienna
-
K. Wodnar, "The original Sitnikov article - New insights," in Sitzungsber. der math-nat Kl. d. Österr. Akad. d. Wiss. Abt. II (Springer-Verlag, Vienna, 1994), Vol. 202, pp. 1-10.
-
(1994)
Sitzungsber. der Math-Nat Kl. D. Österr. Akad. D. Wiss. Abt. II
, vol.202
, pp. 1-10
-
-
Wodnar, K.1
-
24
-
-
0002007686
-
A stable manifold for degenerate fixed points with applications to celestial mechanics
-
R. McGehee, "A stable manifold for degenerate fixed points with applications to celestial mechanics," J. Diff. Eqns. 14, 70-88 (1973).
-
(1973)
J. Diff. Eqns.
, vol.14
, pp. 70-88
-
-
McGehee, R.1
-
25
-
-
0344430688
-
Triple collision in the collinear three body problem
-
R. McGehee, "Triple collision in the collinear three body problem," Invent. Math. 27, 191-227 (1974).
-
(1974)
Invent. Math.
, vol.27
, pp. 191-227
-
-
McGehee, R.1
-
26
-
-
17744393119
-
Chaos in the one-dimensional gravitational three-body problem
-
J. Hietarinta and S. Mikkola, "Chaos in the one-dimensional gravitational three-body problem," Chaos 3 (2), 183-203 (1993).
-
(1993)
Chaos
, vol.3
, Issue.2
, pp. 183-203
-
-
Hietarinta, J.1
Mikkola, S.2
-
27
-
-
0012455272
-
On the Isosceles triangle configurations in the planar general three-body problem
-
R. Broucke, "On the Isosceles triangle configurations in the planar general three-body problem," Astron. Astrophys. 73, 303-313 (1979).
-
(1979)
Astron. Astrophys.
, vol.73
, pp. 303-313
-
-
Broucke, R.1
-
28
-
-
0011495112
-
Triple collision in the planar Isosceles three body problem
-
R. L. Devaney, "Triple collision in the planar Isosceles three body problem," Invent. Math. 60, 249-267 (1980).
-
(1980)
Invent. Math.
, vol.60
, pp. 249-267
-
-
Devaney, R.L.1
-
29
-
-
0037549804
-
Orbits of the three-body problem which pass infinitely close to triple collision
-
R. Moeckel, "Orbits of the three-body problem which pass infinitely close to triple collision," Am. J. Math. 103, 1323-1341 (1981).
-
(1981)
Am. J. Math.
, vol.103
, pp. 1323-1341
-
-
Moeckel, R.1
-
30
-
-
0009280729
-
Analysis of triple collision in the Isosceles problem
-
Marcel Dekker, New York
-
C. Simó, "Analysis of triple collision in the Isosceles problem," in Classical Mechanics and Dynamical Systems (Marcel Dekker, New York, 1980).
-
(1980)
Classical Mechanics and Dynamical Systems
-
-
Simó, C.1
-
31
-
-
34250096818
-
Qualitative study of the planar isosceles problem
-
C. Simó and R. Martinez, "Qualitative study of the planar isosceles problem," Celest. Mech. 41, 179-251 (1988).
-
(1988)
Celest. Mech.
, vol.41
, pp. 179-251
-
-
Simó, C.1
Martinez, R.2
-
32
-
-
0011495113
-
Heteroclinic phenomena in the Isosceles three-body problem
-
R. Moeckel, "Heteroclinic phenomena in the Isosceles three-body problem," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 15, 857-876 (1984).
-
(1984)
SIAM (Soc. Ind. Appl. Math.) J. Math. Anal.
, vol.15
, pp. 857-876
-
-
Moeckel, R.1
-
33
-
-
0039891926
-
Order out of chaos in the three-body problem: Regions of escape
-
edited by A. E. Roy and B. A. Steves Plenum Press, New York
-
K. Zare and V. Szebehely, "Order out of chaos in the three-body problem: Regions of escape," in From Newton to Chaos, edited by A. E. Roy and B. A. Steves (Plenum Press, New York, 1995).
-
(1995)
From Newton to Chaos
-
-
Zare, K.1
Szebehely, V.2
-
34
-
-
0002519122
-
The applicability of the third integral of motion: Some numerical experiments
-
M. Hénon and C. Heiles, "The applicability of the third integral of motion: Some numerical experiments," Astron. J. 69, 73-79 (1964).
-
(1964)
Astron. J.
, vol.69
, pp. 73-79
-
-
Hénon, M.1
Heiles, C.2
-
36
-
-
0011707115
-
The onset of chaotic motion in the restricted problem of three bodies
-
R. H. Smith and V. Szebehely, "The onset of chaotic motion in the restricted problem of three bodies," Celest. Mech. Dyn. Astron. 56, 409-425 (1993).
-
(1993)
Celest. Mech. Dyn. Astron.
, vol.56
, pp. 409-425
-
-
Smith, R.H.1
Szebehely, V.2
-
37
-
-
0039299807
-
Numerical results to the Sitnikov problem
-
R. Dvorak, "Numerical results to the Sitnikov problem," Celest. Mech. Dyn. Astron. 56, 71-80 (1993).
-
(1993)
Celest. Mech. Dyn. Astron.
, vol.56
, pp. 71-80
-
-
Dvorak, R.1
-
38
-
-
84884838970
-
Traiettorie singulari er urti nel problema ristretto die tre corpi
-
T. Levi-Civita, "Traiettorie singulari er urti nel problema ristretto die tre corpi," Ann. Math. Pura Appl. 9, 1-32 (1903).
-
(1903)
Ann. Math. Pura Appl.
, vol.9
, pp. 1-32
-
-
Levi-Civita, T.1
-
39
-
-
0005148031
-
Bifurcations in the mass ratio of the planar isosceles three-body problem
-
edited by A. E. Roy and B. A. Steves, to appear
-
S. Chesley and K. Zare, "Bifurcations in the mass ratio of the planar isosceles three-body problem," in Dynamics of Small Bodies in the Solar System, edited by A. E. Roy and B. A. Steves, to appear.
-
Dynamics of Small Bodies in the Solar System
-
-
Chesley, S.1
Zare, K.2
-
40
-
-
0007207729
-
Sufficient conditions for escape in the three-body problem
-
E. M. Standish, "Sufficient conditions for escape in the three-body problem," Celest. Mech. 4, 44-48 (1971).
-
(1971)
Celest. Mech.
, vol.4
, pp. 44-48
-
-
Standish, E.M.1
-
42
-
-
84981860054
-
New high-order Runge-Kutta formulas with an arbitrarily small truncation error
-
E. Fehlberg, "New high-order Runge-Kutta formulas with an arbitrarily small truncation error," Z. Angew. Math. Mech. 46, 1-16 (1966).
-
(1966)
Z. Angew. Math. Mech.
, vol.46
, pp. 1-16
-
-
Fehlberg, E.1
-
45
-
-
0001098419
-
On the capture orbits for the three-body problem for negative energy constant
-
V. M. Alekseev, "On the capture orbits for the three-body problem for negative energy constant," Usp. Mat. Nauk 24, 185-6 (1969).
-
(1969)
Usp. Mat. Nauk
, vol.24
, pp. 185-186
-
-
Alekseev, V.M.1
-
46
-
-
0007740280
-
Geometrical and dynamical properties of homoclinic tangles in a simple Hamiltonian system
-
G. Contopoulos and C. Polymilis, "Geometrical and dynamical properties of homoclinic tangles in a simple Hamiltonian system," Phys. Rev. E 47, 1546-1557 (1993).
-
(1993)
Phys. Rev. E
, vol.47
, pp. 1546-1557
-
-
Contopoulos, G.1
Polymilis, C.2
-
47
-
-
0002874073
-
Numerische aufsuchung periodischer lösungen im dreikörperproblem
-
J. Schubart, "Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem," Astron. Nachr. 283, 17 (1956).
-
(1956)
Astron. Nachr.
, vol.283
, pp. 17
-
-
Schubart, J.1
-
48
-
-
0039299804
-
Stability of interplay motions
-
M. Hénon, "Stability of interplay motions," Celest. Mech. 15, 243-261 (1977).
-
(1977)
Celest. Mech.
, vol.15
, pp. 243-261
-
-
Hénon, M.1
-
49
-
-
0040484886
-
A family of periodic solutions of the planar three-body problem, and their stability
-
M. Hénon, "A family of periodic solutions of the planar three-body problem, and their stability," Celest. Mech. 13, 267-285 (1976).
-
(1976)
Celest. Mech.
, vol.13
, pp. 267-285
-
-
Hénon, M.1
|