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Celestial Mechanics

An International Journal of Space Dynamics

Short Title: Celest. Mech.
Publisher: D. Reidel Publishing Company, Dordrecht
ISSN: 0008-8714
Online: http://link.springer.com/journal/volumesAndIssues/10569
Successor: Celestial Mechanics and Dynamical Astronomy
Comments: No longer indexed
Documents Indexed: 1,101 Publications (1969–1989)
References Indexed: 1,071 Publications with 11,872 References.
all top 5

Authors

22 Broucke, Roger A.
21 Deprit, André
21 Szebehely, Victor G.
19 Garfinkel, Boris
15 Jupp, Alan H.
14 Henrard, Jacques
14 Markellos, V. V.
13 Saari, Donald Gene
10 Doubochine, G. N.
10 Hadjidemetriou, John D.
10 Kinoshita, Hiroshi
10 Marchal, Christian
9 Ferronsky, S. V.
9 Giacaglia, Giorgio E. O.
9 Nacozy, Paul E.
9 Roy, Archie E.
9 Serafin, Richard A.
9 Stellmacher, Irène
8 Baumgarte, Joachim W.
8 Bond, Victor R.
8 Bozis, George
8 Érdi, Bálint
8 Ferronsky, V. I.
8 Howland, Robert A. jun.
8 Richardson, David L.
7 Alfriend, Kyle T.
7 Brumberg, Victor A.
7 Danby, J. M. Anthony
7 Denisik, S. A.
7 Griffith, J. Stanley
7 Hénon, Michel
7 Hitzl, Donald L.
7 Hough, Michael E.
7 Jezewski, Donald J.
7 Losco, Lucette
7 Milani, Andrea
7 Nobili, Anna Maria
7 Pascal, Madeleine
7 Sessin, Wagner
7 Volk, Otto
7 Waldvogel, Jörg
7 Walker, Ian W.
6 Bartlett, James H. jun.
6 Blitzer, Leon
6 Breakwell, John V.
6 Chapront, Jean
6 Cid, Rafael
6 Ferrer, Sebastián
6 Kirchgraber, Urs
6 Lass, Harry
6 Message, P. J.
6 Modi, Vinod J.
6 Palmore, Julian I.
6 Schmidt, Dieter S.
6 Vinti, John P.
6 Yoshida, Haruo
6 Zhuravlev, Sergeĭ Georgievich
5 Arazov, G. T.
5 Bhatnagar, K. B.
5 Choudhry, Ram Kishore
5 Duboshin, Georgiĭ Nikolaevich
5 Hoots, Felix R.
5 Jefferys, William H.
5 Kammeyer, P. C.
5 Lacomba, Ernesto A.
5 Lemaitre, Anne
5 Meyer, Kenneth R.
5 Moran, P. E.
5 Perko, Lawrence M.
5 Simó, Carles
5 Sperling, Hans J.
5 Sun, Yisui
5 Tapley, Byron D.
5 Whipple, Arthur L.
4 Aksnes, Kaare
4 Arenstorf, Richard F.
4 Bettis, Dale G.
4 Borderies, Nicole
4 Dallas, Sarterios S.
4 Feagin, Terry
4 Gómez, Gerard
4 Gooding, Robert H.
4 Guillaume, Pierre
4 Heggie, Douglas C.
4 Heppenheimer, T. A.
4 Howell, Kathleen Connor
4 Junkins, John L.
4 Kozai, Yoshihide
4 Kunitsyn, A. L.
4 Llibre, Jaume
4 Magnenat, Pierre
4 Mavraganis, A. G.
4 Puel, François
4 Rom, Arnold
4 Tschauner, Johann
4 Verhulst, Ferdinand
4 Vinh, Nguyen Xuan
4 Vivarelli, Maria Dina
3 Belbruno, Edward A.
3 Bruno, Alexander Dmitrievich
...and 544 more Authors

Publications by Year

Citations contained in zbMATH Open

868 Publications have been cited 6,098 times in 2,919 Documents Cited by Year
Canonical transformations depending on a small parameter. Zbl 0172.26002
Deprit, André
259
1969
On the role and the properties of n body central configurations. Zbl 0422.70014
Saari, Donald G.
98
1980
Necessary condition for the existence of algebraic first integrals. I: Kowalevski’s exponents. Zbl 0556.70014
Yoshida, Haruo
69
1983
A proof of Nekhoroshev’s theorem for the stability times in nearly integrable Hamiltonian systems. Zbl 0602.58022
Benettin, Giancarlo; Galgani, Luigi; Giorgilli, Antonio
62
1985
Relative equilibrium solutions in the four body problem. Zbl 0394.70009
Simo, Carles
60
1978
The restricted 3-body problem with radiation pressure. Zbl 0613.70005
Simmons, J. F. L.; McDonald, A. J. C.; Brown, J. C.
59
1985
Canonical forms for symplectic and Hamiltonian matrices. Zbl 0316.15005
Laub, Alan J.; Meyer, Kenneth
57
1974
The elimination of the parallax in satellite theory. Zbl 0492.70024
Deprit, Andre
55
1981
A second fundamental model for resonance. Zbl 0513.70012
Henrard, J.; Lemaitre, A.
49
1983
Formal integrals for an autonomous Hamiltonian system near an equilibrium point. Zbl 0387.70022
Giorgilli, Antonio; Galgani, Luigi
43
1978
Analysis construction of periodic orbits about the collinear points. Zbl 0465.34028
Richardson, David L.
42
1980
Necessary condition for the existence of algebraic first integrals. II: Condition for algebraic integrability. Zbl 0556.70015
Yoshida, Haruo
41
1983
The continuation of periodic orbits from the restricted to the general three-body problem. Zbl 0319.70009
Hadjidemetriou, John D.
40
1975
On a perturbation theory using Lie transforms. Zbl 0223.70011
Henrard, Jacques
40
1970
Periodic orbits near \(L_ 4\) for mass ratios near the critical mass ratio of Routh. Zbl 0226.70009
Meyer, K. R.; Schmidt, D. S.
40
1971
The main problem of artificial satellite theory for small and moderate eccentricities. Zbl 0199.60101
Deprit, André; Rom, Arnold
38
1970
Three-dimensional, periodic, ’halo’ orbits. Zbl 0544.70013
Howell, Kathleen Connor
37
1984
The critical inclination in artificial satellite theory. Zbl 0645.70018
Coffey, Shannon L.; Deprit, André; Miller, Bruce R.
35
1986
Expansion formulae in canonical transformations depending on a small parameter. Zbl 0188.29201
Kamel, Ahmed Aly
35
1969
The stability of periodic orbits in the three-body problem. Zbl 0318.70009
Hadjidemetriou, John D.
34
1975
Numerical stabilization of the differential equations of Keplerian motion. Zbl 0263.70018
Baumgarte, J.
32
1972
Implicit single-sequence methods for integrating orbits. Zbl 0309.70017
Everhart, Edgar
32
1974
The solution of Kepler’s equation. I. Zbl 0572.70014
Danby, J. M. A.; Burkardt, T. M.
31
1983
Quasi-periodic orbits about the translunar libration point. Zbl 0258.70011
Farquhar, Robert W.; Kamel, Ahmed A.
31
1973
Perturbation method in the theory of nonlinear oscillations. Zbl 0251.70013
Kamel, Ahmed Aly
31
1970
A family of periodic solutions of the planar three-body problem, and their stability. Zbl 0441.70011
Henon, M.
30
1976
Periodic solutions near a resonant equilibrium of a Hamiltonian system. Zbl 0313.70020
Schmidt, D. S.
30
1974
Reduction, Brouwer’s Hamiltonian, and the critical inclination. Zbl 0559.70026
Cushman, Richard
29
1983
Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues. Zbl 0286.34053
Burgoyne, N.; Cushman, R.
28
1974
The ’Halo’ family of 3-dimensional periodic orbits in the Earth-Moon restricted 3-body problem. Zbl 0415.70020
Breakwell, John V.; Brown, John V.
27
1979
Capture into resonance: An extension of the use of adiabatic invariants. Zbl 0488.70011
Henrard, J.
27
1982
Hill regions for the general three-body problem. Zbl 0323.70009
Marchal, Christian; Saari, Donald G.
27
1975
Periodic orbits emanating from a resonant equilibrium. Zbl 0193.25302
Henrard, J.
27
1970
Stationary solutions and their characteristic exponents in the restricted three-body problem when the more massive primary is an oblate spheroid. Zbl 0336.70011
Sharma, Ram Krishan; Subba Rao, P. V.
26
1976
Central configurations of four bodies with one inferior mass. Zbl 0507.70008
Arenstorf, R. F.
25
1982
Delaunay normalisations. Zbl 0512.70016
Deprit, Andre
25
1982
High-order resonances in the restricted three-body problem. Zbl 0591.70025
Lemaître, A.
24
1984
Melnikov’s method and averaging. Zbl 0552.34038
Sanders, Jan A.
24
1982
A new algorithm for the Lie transformation. Zbl 0222.70021
Mersman, William A.
24
1970
Proof of a conjecture of E. Strömgren. Zbl 0258.70010
Henrard, Jacques
22
1973
Stability of interplay motions. Zbl 0359.70018
Hénon, Michel
22
1977
On Szebehely’s equation for the potential of a prescribed family of orbits. Zbl 0376.70014
Broucke, R.; Lass, H.
22
1977
New Runge-Kutta algorithms for numerical simulation in dynamical astronomy. Zbl 0386.70006
Dormand, J. R.; Prince, P. J.
22
1978
Effect of perturbations in Coriolis and centrifugal forces on the stability of libration points in the restricted problem. Zbl 0386.70007
Bhatnagar, K. B.; Hallan, P. P.
22
1978
On the equinoctial orbit elements. Zbl 0234.70028
Broucke, R. A.; Cefola, P. J.
22
1972
Elimination of the nodes in problems of \(n\) bodies. Zbl 0623.70010
Deprit, André
21
1983
Bifurcation points in the planar problem of three bodies. Zbl 0364.70015
Zare, K.
21
1977
Nonsemisimple 1:1 resonance at an equilibrium. Zbl 0485.70025
van der Meer, Jan-Cees
20
1982
Families of periodic orbits in the three-body problem. Zbl 0303.70008
Hénon, Michel
20
1974
Virtual singularities in the artificial satellite theory. Zbl 0306.70012
Henrard, Jaques
20
1974
Non-restricted double-averaged three body problem in Hill’s case. Zbl 0342.70009
Lidov, M. L.; Ziglin, S. L.
20
1976
On optimal estimates for the solutions of linear difference equations on the circle. Zbl 0343.39002
Rüssmann, Helmut
20
1976
A new kind of 3-body problem. Zbl 0374.70007
Robe, H. A. G.
20
1978
Motion of two planets with periods commensurable in the ratio 2:1 solutions of the Hori auxiliary system. Zbl 0563.70004
Sessin, W.; Ferraz-Mello, S.
19
1984
Procedures for solving Kepler’s equation. Zbl 0602.70008
Odell, A. W.; Gooding, R. H.
19
1986
A perturbation method for problems with two critical arguments. Zbl 0614.70021
Henrard, Jacques; Lemaitre, Anne
19
1986
Numerical determination of Lissajous trajectories in the restricted three-body problem. Zbl 0648.70004
Howell, K. C.; Pernicka, H. J.
19
1987
A general canonical transformation increasing the number of variables with application to the two-body problem. Zbl 0648.70009
Ferrándiz, J. M.
19
1988
A regularization of the three-body problem. Zbl 0303.70014
Aarseth, S. J.; Zare, K.
19
1974
The effects of integrals on the totality of solutions of dynamical systems. Zbl 0349.70005
Zare, K.
19
1976
Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom. Zbl 0503.70009
Magnenat, P.
18
1982
The KS-transformation in hypercomplex form. Zbl 0508.70006
Vivarelli, Maria Dina
18
1983
Effect of perturbations on the location of equilibrium points in the restricted problem of three bodies with variable mass. Zbl 0587.70009
Singh, Jagadish
18
1984
On relative periodic solutions of the planar general three-body problem. Zbl 0322.70012
Broucke, R.
18
1975
The intermediate anomaly. Zbl 0376.70013
Nacozy, Paul
18
1978
A second-order solution of the ideal resonance problem by Lie series. Zbl 0229.70015
Jupp, Alan H.
18
1972
Resonance rotation of celestial bodies and Cassini’s laws. Zbl 0244.70011
Beletskii, V. V.
18
1972
The gravitational potential due to uniform disks and rings. Zbl 0561.70005
Lass, Harry; Blitzer, Leon
17
1983
Hill stability and distance curves for the general three-body problem. Zbl 0519.70010
Marchal, Christian; Bozis, George
17
1982
The global solution of the problem of the critical inclination. Zbl 0263.70015
Garfinkel, Boris
17
1973
A global regularisation of the gravitational \(N\)-body problem. Zbl 0312.70015
Heggie, Douglas C.
17
1974
Lunar perturbations of artificial satellites of the Earth. Zbl 0343.70019
Giacaglia, Giorgio E. O.
17
1974
An analytic solution to the classical two-body problem with drag. Zbl 0507.70004
Mittleman, Don; Jezewski, Don
16
1982
Bifurcation of a central configuration. Zbl 0644.70009
Meyer, Kenneth R.
16
1987
A grid search for families of periodic orbits in the restricted problem of three bodies. Zbl 0303.70013
Markellos, V. V.; Black, W.; Moran, P. E.
16
1974
The stellar three-body problem. Zbl 0191.23105
Harrington, R. S.
16
1969
Equivalence of the perturbation theories of Hori and Deprit. Zbl 0205.55005
Campbell, J. A.; Jeffreys, W. H.
16
1970
Mutual gravitational potential of N solid bodies. Zbl 0388.70006
Borderies, N.
16
1978
An exact analytical solution of Kepler’s equation. Zbl 0251.70011
Siewert, C. E.; Burniston, E. E.
16
1972
About the existence of certain relative equilibrium configurations in the \(n\)-body problem. (Sur l’existence de certaines configurations d’équilibre relatif dans le problème des \(n\) corps.) Zbl 0850.70116
Elmabsout, B.
15
1988
Numerical determination of three-dimensional periodic orbits generated from vertical self-resonant satellite orbits. Zbl 0426.70012
Robin, I. A.; Markellos, V. V.
15
1980
Stability criteria in many-body systems. Zbl 0454.70007
Walker, Ian W.; Emslie, A. Gordon; Roy, Archie E.
15
1980
On the collinear libration points in the photo-gravitational three-body problem. Zbl 0554.70003
Kunitsyn, A. L.; Tureshbaev, A. T.
15
1985
Equations of motion of the restricted problem of three bodies with variable mass. Zbl 0566.70008
Shrivastava, A. K.; Ishwar, Bhola
15
1983
Qualitative study of the planar isosceles three-body problem. Zbl 0657.70015
Simó, Carles; Martínez, Regina
15
1987
Analytical solutions for Euler parameters. Zbl 0313.70003
Morton, Harold S. jun.; Junkins, John L.; Blanton, Jeffrey N.
15
1974
Two-body motion under the inverse square central force and equivalent geodesic flows. Zbl 0367.70005
Belbruno, E. A.
15
1977
Critical generating orbits for second species periodic solutions of the restricted problem. Zbl 0369.70007
Hitzl, Donald L.; Henon, Michel
15
1977
Mechanized Algebraic Operations (MAO). Zbl 0193.15203
Rom, Arnold
15
1970
The collision singularity in a perturbed two-body problems. Zbl 0202.24401
Sperling, H. J.
15
1969
Classification of the motions of three bodies in a plane. Zbl 0219.70002
Szebehely, V.
15
1971
On nonclassical canonical systems. Zbl 0233.70012
Scheifele, G.
15
1970
Stabilization of finite difference methods of numerical integration. Zbl 0257.65062
Bettis, D. G.
15
1970
Effect of perturbations on the stability of triangular points. In the restricted problem of three bodies with variable mass. Zbl 0578.70006
Singh, Jagadish; Ishwar, Bhola
14
1985
Equilibrium solutions of the restricted problem of \(2+2\) bodies. Zbl 0578.70007
Whipple, Arthur L.
14
1984
Transformations of the perturbed two-body problem to unperturbed harmonic oscillators. Zbl 0516.70013
Szebehely, V.; Bond, V.
14
1983
A Runge-Kutta Nyström algorithm. Zbl 0262.65041
Bettis, D. G.
14
1973
Periodic solutions about the ‘out of plane’ equilibrium points in the photogravitational restricted three-body problem. Zbl 0663.70011
Ragos, O.; Zagouras, C.
14
1988
Simple three-dimensional periodic orbits in a galactic-type potential. Zbl 0596.70010
Contopoulos, G.; Magnenat, P.
14
1985
Collinear equilibria and their characteristic exponents in the restricted three-body problem when the primaries are oblate spheroids. Zbl 0313.70010
Sharma, Ram Krishan; Subba Rao, P. V.
14
1975
A note on Kowalevski exponents and the nonexistence of an additional analytic integral. Zbl 0675.70018
Yoshida, Haruo
9
1989
Simplify or perish. Zbl 0674.70004
Deprit, André; Miller, Bruce
8
1989
Equations of motion of elliptic restricted problem of three bodies with variable mass. Zbl 0674.70037
Das, R. K.; Shrivastava, A. K.; Ishwar, B.
7
1989
A word of caution concerning the Yoshida criterion on algebraic integrability and Kowalevski exponents. Zbl 0688.70011
González-Gascón, F.
5
1989
Numerical integration methods in dynamical astronomy. Zbl 0674.70005
Kinoshita, Hiroshi; Nakai, Hiroshi
2
1989
PARSEC: An interactive Poisson series processor for personal computing systems. Zbl 0674.70007
Richardson, D. L.
2
1989
The constrained normal form algorithm. Zbl 0674.70018
Cushman, Richard; Sanders, Jan A.
2
1989
The stability of the Lagrangian point \(L_ 4\). Zbl 0674.70020
Schmidt, D. S.
2
1989
A note on the application of a generalized canonical approach to nonlinear Hamiltonian systems. Zbl 0674.70027
Howland, R. A.
2
1989
A FORTRAN-based Poisson series processor and it’s applications in celestial mechanics. Zbl 0674.70006
Broucke, R. A.
1
1989
Nonuniqueness of families of periodic solutions in a four dimensional mapping. Zbl 0674.70026
Contopoulos, G.
1
1989
Note on the reduction transformation and secular coupling. Zbl 0688.70007
Henrard, J.
1
1989
On the dynamical derivation of the Titius-Bode law. Zbl 0694.70007
Patton, Jon M.
1
1989
A general canonical transformation increasing the number of variables with application to the two-body problem. Zbl 0648.70009
Ferrándiz, J. M.
19
1988
About the existence of certain relative equilibrium configurations in the \(n\)-body problem. (Sur l’existence de certaines configurations d’équilibre relatif dans le problème des \(n\) corps.) Zbl 0850.70116
Elmabsout, B.
15
1988
Periodic solutions about the ‘out of plane’ equilibrium points in the photogravitational restricted three-body problem. Zbl 0663.70011
Ragos, O.; Zagouras, C.
14
1988
The critical inclination problem - 30 years of progress. Zbl 0664.70001
Jupp, A. H.
12
1988
Homoclinic and heteroclinic solutions in the restricted three-body problem. Zbl 0674.70019
Gómez, G.; Llibre, J.; Masdemont, J.
12
1988
Celestial coordinate reference systems in curved space-time. Zbl 0678.70020
Kopejkin, S. M.
10
1988
Geometrical and physical outlook on the cross product of two quaternions. Zbl 0654.70016
Vivarelli, Maria Dina
7
1988
Tesseral harmonic perturbations for high order and degree harmonics. Zbl 0662.70008
Wnuk, Edwin
7
1988
An expansion in power series of mutual potential for gravitating bodies with finite sizes. Zbl 0663.70004
Paul, M. K.
7
1988
Periodic orbits of the planetary type and their stability. Zbl 0664.70012
Hadjidemetriou, John D.
6
1988
Integration error over very long time spans. Zbl 0664.70014
Milani, Andrea; Nobili, Anna M.
6
1988
The hyperbolic Kepler equation (and the elliptic equation revisited). Zbl 0674.70017
Gooding, R. H.; Odell, A. W.
6
1988
Long periodic perturbations of Trojan asteroids. Zbl 0664.70011
Érdi, B.
5
1988
Solution of an inverse problem of the dynamics of a particle. Zbl 0672.70005
Shorokhov, S. G.
4
1988
A new integration theory for conservative two degree-of-freedom systems. Zbl 0675.70019
Hough, Michael E.
4
1988
A geometric approach to the ideal resonance problem. Zbl 0688.70021
Henrard, Jacques; Wauthier, Pascal
4
1988
Translatory-rotatory motion of a gyrostat in a Newtonian force field. Zbl 0654.70007
Sansaturio, M. E.; Vigueras, A.
3
1988
Some new Runge-Kutta methods with interpolation properties and their application to the magnetic-binary problem. Zbl 0663.70008
Papageorgiou, G.; Simos, Theodore E.; Tsitouras, Ch.
3
1988
Two-body motion in the post-Newtonian approximation. Zbl 0664.70030
Richardson, D. L.; Kelly, T. J.
3
1988
A new approach to the librational solution in the ideal resonance problem. Zbl 0675.70012
Howland, R. A.
3
1988
Instability of the \(2+2\) body problem. Zbl 0648.70013
Milani, Andrea; Nobili, Anna M.
3
1988
Monte Carlo modelling of cometary dynamics. Zbl 0664.70016
Froeschlé, Claude; Rickman, Hans
2
1988
Elliptical Hill’s problem (large and small impact parameters). Zbl 0664.70039
Moons, M.; Delhaise, F.; Depaepe, E.
2
1988
On universal elements, and conversion procedures to and from position and velocity. Zbl 0674.70025
Gooding, R. H.
2
1988
The general Kepler equation and its solutions. Zbl 0683.70009
Stumpff, P.
2
1988
On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies under the resonances of the third and the fourth order. Zbl 0648.70006
Kumar, Vijay; Choudhry, R. K.
2
1988
La periodicité et la symetrie du mouvement equatorial au problème magnetique-binaire. (The periodicity and the symmetry of equatorial motion in the magnetic-binary problem). Zbl 0651.70005
Mavraganis, A.; Pangalos, C.
2
1988
Restriction on the motion of a solid in a gravitational field. Zbl 0663.70007
Sergysels, Roland
1
1988
Integration theory for the restricted three-body-problem with application to P-type orbits. Zbl 0664.70009
Hagel, J.
1
1988
On resonance. Zbl 0664.70034
Ferraz-Mello, S.
1
1988
Supplemental satellites and lunisolar precession. Zbl 0665.70037
Bertotti, Bruno
1
1988
Sweeping through a second order resonance. Zbl 0673.70020
Henrard, Jacques; de Vleeschauwer, Anne
1
1988
Transversal ejection-collision orbits in Hill’s problem for \(C\gg 1\). Zbl 0675.70008
Delgado-Fernández, Joaquín
1
1988
Admissible orbits in the Oort cloud and velocities on such orbits. Zbl 0648.70007
Serafin, Richard A.
1
1988
Numerical determination of Lissajous trajectories in the restricted three-body problem. Zbl 0648.70004
Howell, K. C.; Pernicka, H. J.
19
1987
Bifurcation of a central configuration. Zbl 0644.70009
Meyer, Kenneth R.
16
1987
Qualitative study of the planar isosceles three-body problem. Zbl 0657.70015
Simó, Carles; Martínez, Regina
15
1987
A cubic approximation for Kepler’s equation. Zbl 0635.70009
Mikkola, Seppo
11
1987
On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies when both of the attracting bodies are radiating as well. Zbl 0633.70015
Kumar, Vijay; Choudhry, R. K.
10
1987
The solution of Kepler’s equation. III. Zbl 0647.70011
Danby, J. M. A.
10
1987
Symmetric motions in the equatorial magnetic-binary problem. Zbl 0634.70010
Kalvouridis, T. J.; Mavraganis, A. G.
8
1987
The two-body problem in the (truncated) PPN-theory. Zbl 0646.70004
Soffel, M.; Ruder, H.; Schneider, Manfred
8
1987
Note on Cid’s radial intermediary and the method of averaging. Zbl 0656.70031
Deprit, André; Ferrer, Sebastián
7
1987
Colombo’s top. Zbl 0657.70019
Henrard, Jacques; Murigande, Charles
7
1987
Exponential instability of collision orbit in the anisotropic Kepler problem. Zbl 0637.70006
Yoshida, Haruo
7
1987
Generalized elliptic anomalies. Zbl 0652.70007
Ferrándiz, José M.; Ferrer, Sebastián; Sein-Echaluce, Maria L.
7
1987
Radial, transverse and normal satellite position perturbations due to the geopotential. Zbl 0698.70022
Rosborough, G. W.; Tapley, B. D.
7
1987
Normal forms for symplectic maps of \(R^{2n}\). Zbl 0664.70023
Bazzani, A.
6
1987
Hamilton-like vectors for a class of Kepler problems with a force proportional to the velocity. Zbl 0648.70003
Gorringe, V. M.; Leach, P. G. L.
6
1987
Equivalent problem in rigid body dynamics. I. Zbl 0658.70008
Yehia, H. M.
4
1987
Intrinsic stability of periodic orbits. Zbl 0658.70026
Hough, Michael E.
4
1987
Time scaling as an infinitesimal canonical transformation. Zbl 0664.70025
Cariñena, José F.; Ibort, Luis A.; Lacomba, Ernesto A.
4
1987
From rotations and inclinations to zero configurational velocity surfaces. II. The best possible configurational velocity surfaces. Zbl 0636.70008
Saari, Donald G.
4
1987
First order planetary perturbations with elliptic functions. Zbl 0652.70010
Williams, Carol A.; van Flandern, Thomas; Wright, Edward A.
4
1987
Dynamics analysis of a system of hinge-connected flexible bodies. Zbl 0654.70028
Pascal, Madeleine
3
1987
Motion of rigid bodies in a set of redundant variables. Zbl 0664.70026
Cid, Rafael; San Saturio, María-Eugenia
3
1987
Chaos in a quartic dynamical model. Zbl 0645.70014
Caranicolas, N.; Vozikis, Ch.
3
1987
The masses in an isosceles solution of the three-body problem. Zbl 0648.70005
Cabral, H. E.
3
1987
Equivalent problems in rigid body dynamics. II. Zbl 0658.70009
Yehia, H. M.
2
1987
An analytical study of stable planetary orbits in the circular restricted problem. Zbl 0663.70012
Hagel, Johannes; Dvorak, Rudolf
2
1987
An analytic satellite theory using gravity and a dynamic atmosphere. Zbl 0643.70025
Hoots, Felix R.; France, Richard G.
2
1987
The ideal resonance problem. A comparison of two formal solutions. III. Zbl 0661.70030
Jupp, Alan H.
1
1987
Second-order theory of the rotation of an artificial satellite. Zbl 0663.70038
Bois, Eric
1
1987
Qualitative study of motion under the potentials \(V(r)=-ar^{-\alpha}\), a, \(\alpha\in {\mathfrak R}^+\). Zbl 0664.70024
Casasayas, J.; Jorba, A.; Nunes, A.
1
1987
The inclination function in terms of nonsingular elements. Zbl 0664.70037
Wnuk, Edwin; Wytrzyszczak, Iwona
1
1987
Arbitrary order numerical solutions conserving the Jacobi constant in the motion near the equilibrium points. Zbl 0633.70006
Marciniak, Andrzej
1
1987
Consecutive collision orbits in the limiting case \(\mu =0\) of the elliptic restricted problem. Zbl 0635.70013
Howell, K. C.
1
1987
The critical inclination in artificial satellite theory. Zbl 0645.70018
Coffey, Shannon L.; Deprit, André; Miller, Bruce R.
35
1986
Procedures for solving Kepler’s equation. Zbl 0602.70008
Odell, A. W.; Gooding, R. H.
19
1986
A perturbation method for problems with two critical arguments. Zbl 0614.70021
Henrard, Jacques; Lemaitre, Anne
19
1986
Series expansions for encounter-type solutions of Hill’s problem. Zbl 0613.70004
Hénon, Michel; Petit, Jean-Marc
13
1986
Canonical solution of the two critical arguments problem. Zbl 0608.70011
Wisdom, Jack
11
1986
The reducing transformation and apocentric librators. Zbl 0602.70013
Henrard, J.; Lemaitre, A.; Milani, A.; Murray, C. D.
9
1986
An improved algorithm due to Laguerre for the solution of Kepler’s equation. Zbl 0613.70007
Conway, Bruce A.
8
1986
Bifurcations in systems of three degrees of freedom. Zbl 0609.70014
Contopoulos, G.
7
1986
On the minimum distance between two Keplerian orbits with a common focus. Zbl 0602.70009
Dybczyński, P. A.; Jopek, T. J.; Serafin, R. A.
6
1986
Study of the terms of coupling between rotational and translational motions. Zbl 0613.70024
Zanardi, M. C.
6
1986
A note on the elliptic restricted three-body problem. Zbl 0625.70005
Gómez, Gerard; Ollé, Merce
5
1986
Nonsingular elements in description of the motion of small eccentricity and inclination satellites. Zbl 0627.70025
Wytrzyszczak, Iwona
5
1986
On the radial intermediaries and the time transformation in satellite theory. Zbl 0645.70017
Cid, R.; Ferrer, S.; Sein-Echaluce, M. L.
5
1986
On an analytical solution of the optimum trajectory problem in a gravitational field. Zbl 0602.70017
Azizov, A. G.; Korshunova, N. A.
4
1986
The existence and stability of the equilibrium points of a triaxial rigid body moving around another triaxial rigid body. Zbl 0608.70013
Bhatnagar, K. B.; Gupta, Usha
4
1986
Existence of libration points in the generalized photogravitational restricted problem of three bodies. Zbl 0613.70008
Kumar, Vijay; Choudhry, R. K.
4
1986
A theory of integration for the extended Delaunay method. Zbl 0613.70022
Sessin, Wagner
4
1986
Linearization in special cases of perturbed Keplerian motions. Zbl 0619.70008
Ferrándiz, José M.
4
1986
Solution of the three-dimensional inverse problem. Zbl 0622.70002
Bozis, George; Nakhla, Atef
4
1986
Bounds on the solution to Kepler’s equation. Zbl 0602.70007
Serafin, R. A.
3
1986
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Cited by 2,392 Authors

52 Llibre, Jaume
42 Palacián, Jesús F.
35 Vidal, Claudio
32 Elipe, Antonio
31 Yanguas, Patricia
29 Papadakis, Konstantinos E.
27 Henrard, Jacques
24 Celletti, Alessandra
24 Hadjidemetriou, John D.
23 Markellos, V. V.
23 Meyer, Kenneth R.
23 Singh, Jagadish
22 Deprit, André
22 Perdios, Efstathios A.
20 Ferrer, Sebastián
20 Giorgilli, Antonio
20 Lara, Martín
19 Kalvouridis, Tilemahos J.
19 Pucacco, Giuseppe
17 Garfinkel, Boris
17 Jupp, Alan H.
17 Mello, Luis Fernando O.
17 Saari, Donald Gene
16 Pérez-Chavela, Ernesto
16 Schmidt, Dieter S.
16 Szebehely, Victor G.
15 Alvarez-Ramírez, Martha
15 Elshaboury, S. M.
15 Lacomba, Ernesto A.
15 Simó, Carles
15 Vilhena de Moraes, Rodolpho
14 Bozis, George
14 Broucke, Roger A.
14 Brumberg, Victor A.
14 Diacu, Florin Nicolae
14 Gurfil, Pini
13 Fernandes, Antonio Carlos
13 Ferrándiz, José Manuel
13 Lanchares, Víctor
13 Lemaitre, Anne
13 Morbidelli, Alessandro
13 San-Juan, Juan Félix
13 Zagouras, C. G.
12 Baumgarte, Joachim W.
12 de la Llave, Rafael
12 Efthymiopoulos, Christos
12 Érdi, Bálint
12 Hough, Michael E.
12 Markeev, Anatoliĭ Pavlovich
12 Ollé, Mercè
12 Yan, Duokui
12 Yoshida, Haruo
11 Guzzo, Massimiliano
11 Moeckel, Richard
10 Abouelmagd, Elbaz I.
10 Alfriend, Kyle T.
10 Corbera, Montserrat
10 Cors, Josep Maria
10 Dvorak, Rudolf
10 Gómez, Gerard
10 Kholshevnikov, Konstantin Vladislavovich
10 Maciejewski, Andrzej J.
10 Martin, Pablo
10 Mavraganis, A. G.
10 Milani, Andrea
10 Pascal, Madeleine
10 Pinzari, Gabriella
10 Prado, Antônio Fernando Bertachini de Almeida
10 Prokopenya, Alexander N.
10 Vivarelli, Maria Dina
10 Voyatzis, George
10 Wiggins, Stephen
9 Benettin, Giancarlo
9 Ferronsky, S. V.
9 Galgani, Luigi
9 Howell, Kathleen Connor
9 López Ortí, José Antonio
9 Marchal, Christian
9 Mikkola, Seppo
9 Ouyang, Tiancheng
9 Ragos, Omiros
9 Richardson, David L.
9 Roy, Archie E.
9 Russell, Ryan P.
9 Scheeres, Daniel J.
9 Sun, Yisui
9 Verhulst, Ferdinand
9 Zotos, Euaggelos E.
8 Abad, Alberto J.
8 Armellin, Roberto
8 Bambusi, Dario
8 Barrio, Roberto
8 Bruno, Alexander Dmitrievich
8 Carati, Andrea
8 Chierchia, Luigi
8 Cushman, Richard H.
8 Ferronsky, V. I.
8 Fukushima, Toshio
8 Ishwar, Bhola
8 Jorba, Àngel
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Cited in 267 Journals

664 Celestial Mechanics
651 Celestial Mechanics and Dynamical Astronomy
137 Astrophysics and Space Science
84 Journal of Differential Equations
77 Journal of Mathematical Physics
60 Physica D
51 Regular and Chaotic Dynamics
40 Earth, Moon, and Planets
38 ZAMP. Zeitschrift für angewandte Mathematik und Physik
37 Chaos
35 Journal of Applied Mathematics and Mechanics
35 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
30 Applied Mathematics and Computation
30 Journal of Computational and Applied Mathematics
27 Communications in Nonlinear Science and Numerical Simulation
24 Journal of Mathematical Analysis and Applications
24 Journal of Dynamics and Differential Equations
23 Qualitative Theory of Dynamical Systems
21 Mathematical Problems in Engineering
20 Chaos, Solitons and Fractals
19 Communications in Mathematical Physics
19 Prikladnaya Matematika i Mekhanika
18 Linear Algebra and its Applications
17 Transactions of the American Mathematical Society
16 Nonlinear Dynamics
16 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
14 Journal of Nonlinear Science
13 Archive for Rational Mechanics and Analysis
13 Computers & Mathematics with Applications
13 Nonlinearity
13 Journal of Geometry and Physics
12 Computer Methods in Applied Mechanics and Engineering
12 Acta Applicandae Mathematicae
11 Acta Mechanica
11 Journal of Statistical Physics
11 Discrete and Continuous Dynamical Systems
10 Journal of Optimization Theory and Applications
10 Applied Numerical Mathematics
10 SIAM Journal on Applied Dynamical Systems
9 Mathematics and Computers in Simulation
9 Meccanica
9 Programming and Computer Software
8 Inventiones Mathematicae
8 Journal of Symbolic Computation
8 International Journal of Computer Mathematics
8 International Journal of Modern Physics D
8 Discrete and Continuous Dynamical Systems. Series B
8 Russian Journal of Nonlinear Dynamics
7 International Journal of Theoretical Physics
7 The Moon and the Planets
7 Proceedings of the American Mathematical Society
7 Applied Mathematics and Mechanics. (English Edition)
7 Journal of Nonlinear Mathematical Physics
7 Nonlinear Analysis. Real World Applications
6 International Journal of Control
6 Journal of Computational Physics
6 Mathematical Notes
6 Multibody System Dynamics
6 Abstract and Applied Analysis
5 Computer Physics Communications
5 General Relativity and Gravitation
5 Theoretical and Mathematical Physics
5 Automatica
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Applied Mathematics Letters
5 Dynamics and Stability of Systems
5 Automation and Remote Control
5 Journal of Mathematical Sciences (New York)
5 Differential Equations and Dynamical Systems
5 Journal of Dynamical Systems and Geometric Theories
5 Mathematics in Computer Science
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Reviews in Mathematical Physics
4 Mathematische Zeitschrift
4 Numerische Mathematik
4 Ergodic Theory and Dynamical Systems
4 Applied Mathematical Modelling
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Computational and Applied Mathematics
4 Advances in Applied Clifford Algebras
4 Journal of Geodesy
4 Journal of Mathematical Chemistry
4 Living Reviews in Relativity
4 Applications and Applied Mathematics
4 Discrete and Continuous Dynamical Systems. Series S
4 Advances in Mathematical Physics
4 Nonlinear Analysis. Theory, Methods & Applications
4 Applied Mathematics and Nonlinear Sciences
3 Classical and Quantum Gravity
3 Letters in Mathematical Physics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Physics Letters. A
3 Reports on Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Advances in Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Computing
3 International Journal for Numerical Methods in Engineering
3 Memoirs of the American Mathematical Society
3 Computational Mechanics
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Cited in 54 Fields

2,354 Mechanics of particles and systems (70-XX)
702 Dynamical systems and ergodic theory (37-XX)
395 Ordinary differential equations (34-XX)
222 Numerical analysis (65-XX)
183 Astronomy and astrophysics (85-XX)
82 Relativity and gravitational theory (83-XX)
58 Partial differential equations (35-XX)
57 Systems theory; control (93-XX)
50 Optics, electromagnetic theory (78-XX)
47 Differential geometry (53-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
37 Quantum theory (81-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
36 Mechanics of deformable solids (74-XX)
34 Computer science (68-XX)
27 Statistical mechanics, structure of matter (82-XX)
23 Global analysis, analysis on manifolds (58-XX)
23 Fluid mechanics (76-XX)
18 Geophysics (86-XX)
14 Nonassociative rings and algebras (17-XX)
13 Operator theory (47-XX)
12 Topological groups, Lie groups (22-XX)
12 Special functions (33-XX)
11 Approximations and expansions (41-XX)
10 History and biography (01-XX)
10 Manifolds and cell complexes (57-XX)
8 Group theory and generalizations (20-XX)
8 Biology and other natural sciences (92-XX)
6 Operations research, mathematical programming (90-XX)
5 Algebraic geometry (14-XX)
5 Real functions (26-XX)
5 Functions of a complex variable (30-XX)
5 Probability theory and stochastic processes (60-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 General and overarching topics; collections (00-XX)
4 Potential theory (31-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Geometry (51-XX)
4 Algebraic topology (55-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
3 General topology (54-XX)
3 Statistics (62-XX)
2 Measure and integration (28-XX)
2 Integral equations (45-XX)
1 Combinatorics (05-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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