# zbMATH — the first resource for mathematics

## 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.
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#### Latest Issues

 45, No. 4 (1989) 45, No. 1-3 (1989) 44, No. 4 (1989) 44, No. 3 (1988) 44, No. 1-2 (1988) 43, No. 1-4 (1988) 42, No. 1-4 (1988) 41, No. 1-4 (1988) 40 (1987) 39 (1986) 38 (1986) 37 (1985) 36 (1985) 35 (1985) 34 (1984) 33 (1984) 32 (1984) 31 (1983) 30 (1983) 29 (1983) 28 (1982) 27 (1982) 26 (1982) 25 (1981) 24 (1981) 23 (1981) 22 (1980) 21 (1980) 20 (1979) 19 (1979) 18 (1978) 17 (1978) 16 (1977/1978) 15 (1977) 14 (1976) 13 (1976) 12 (1975) 11 (1975) 10 (1974) 9 (1974) 8 (1973/1974) 7 (1973) 6 (1972) 5 (1972) 4 (1971) 3 (1970/1971) 2 (1970) 1 (1969/1970)
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#### Authors

 22 Broucke, Roger A. 21 Deprit, André 21 Szebehely, Victor G. 19 Garfinkel, Boris 15 Jupp, Alan H. 14 Markellos, V. V. 13 Henrard, Jacques 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 Duboshin, Georgiĭ Nikolaevich 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 Hoots, Felix R. 5 Jefferys, William H. 5 Kammeyer, P. C. 5 Lacomba, Ernesto A. 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 Alfaro, J. Martinez 3 Belbruno, Edward A. 3 Bruno, Alexander Dmitrievich ...and 545 more Authors
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#### Fields

 1,030 Mechanics of particles and systems (70-XX) 75 Ordinary differential equations (34-XX) 67 Dynamical systems and ergodic theory (37-XX) 50 Numerical analysis (65-XX) 47 Astronomy and astrophysics (85-XX) 10 History and biography (01-XX) 10 Relativity and gravitational theory (83-XX) 9 Optics, electromagnetic theory (78-XX) 7 Potential theory (31-XX) 7 Partial differential equations (35-XX) 7 Differential geometry (53-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Approximations and expansions (41-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 3 Special functions (33-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

864 Publications have been cited 5,859 times in 2,791 Documents Cited by Year
Canonical transformations depending on a small parameter. Zbl 0172.26002
Deprit, André
1969
On the role and the properties of n body central configurations. Zbl 0422.70014
Saari, Donald G.
1980
Necessary condition for the existence of algebraic first integrals. I: Kowalevski’s exponents. Zbl 0556.70014
Yoshida, Haruo
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
1985
Canonical forms for symplectic and Hamiltonian matrices. Zbl 0316.15005
Laub, Alan J.; Meyer, Kenneth
1974
The restricted 3-body problem with radiation pressure. Zbl 0613.70005
Simmons, J. F. L.; McDonald, A. J. C.; Brown, J. C.
1985
The elimination of the parallax in satellite theory. Zbl 0492.70024
Deprit, Andre
1981
Relative equilibrium solutions in the four body problem. Zbl 0394.70009
Simo, Carles
1978
A second fundamental model for resonance. Zbl 0513.70012
Henrard, J.; Lemaitre, A.
1983
Analysis construction of periodic orbits about the collinear points. Zbl 0465.34028
Richardson, David L.
1980
Formal integrals for an autonomous Hamiltonian system near an equilibrium point. Zbl 0387.70022
Giorgilli, Antonio; Galgani, Luigi
1978
Necessary condition for the existence of algebraic first integrals. II: Condition for algebraic integrability. Zbl 0556.70015
Yoshida, Haruo
1983
On a perturbation theory using Lie transforms. Zbl 0223.70011
Henrard, Jacques
1970
The continuation of periodic orbits from the restricted to the general three-body problem. Zbl 0319.70009
1975
Periodic orbits near $$L_ 4$$ for mass ratios near the critical mass ratio of Routh. Zbl 0226.70009
Meyer, K. R.; Schmidt, D. S.
1971
The main problem of artificial satellite theory for small and moderate eccentricities. Zbl 0199.60101
Deprit, André; Rom, Arnold
1970
Expansion formulae in canonical transformations depending on a small parameter. Zbl 0188.29201
Kamel, Ahmed Aly
1969
The critical inclination in artificial satellite theory. Zbl 0645.70018
Coffey, Shannon L.; Deprit, André; Miller, Bruce R.
1986
The stability of periodic orbits in the three-body problem. Zbl 0318.70009
1975
Numerical stabilization of the differential equations of Keplerian motion. Zbl 0263.70018
Baumgarte, J.
1972
Perturbation method in the theory of nonlinear oscillations. Zbl 0251.70013
Kamel, Ahmed Aly
1970
Implicit single-sequence methods for integrating orbits. Zbl 0309.70017
Everhart, Edgar
1974
The solution of Kepler’s equation. I. Zbl 0572.70014
Danby, J. M. A.; Burkardt, T. M.
1983
Quasi-periodic orbits about the translunar libration point. Zbl 0258.70011
Farquhar, Robert W.; Kamel, Ahmed A.
1973
Three-dimensional, periodic, ’halo’ orbits. Zbl 0544.70013
Howell, Kathleen Connor
1984
Periodic solutions near a resonant equilibrium of a Hamiltonian system. Zbl 0313.70020
Schmidt, D. S.
1974
Reduction, Brouwer’s Hamiltonian, and the critical inclination. Zbl 0559.70026
Cushman, Richard
1983
A family of periodic solutions of the planar three-body problem, and their stability. Zbl 0441.70011
Henon, M.
1976
Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues. Zbl 0286.34053
Burgoyne, N.; Cushman, R.
1974
Periodic orbits emanating from a resonant equilibrium. Zbl 0193.25302
Henrard, J.
1970
Hill regions for the general three-body problem. Zbl 0323.70009
Marchal, Christian; Saari, Donald G.
1975
Capture into resonance: An extension of the use of adiabatic invariants. Zbl 0488.70011
Henrard, J.
1982
Delaunay normalisations. Zbl 0512.70016
Deprit, Andre
1982
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.
1976
A new algorithm for the Lie transformation. Zbl 0222.70021
Mersman, William A.
1970
Melnikov’s method and averaging. Zbl 0552.34038
Sanders, Jan A.
1982
High-order resonances in the restricted three-body problem. Zbl 0591.70025
Lemaître, A.
1984
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.
1979
Proof of a conjecture of E. Strömgren. Zbl 0258.70010
Henrard, Jacques
1973
Stability of interplay motions. Zbl 0359.70018
Hénon, Michel
1977
On Szebehely’s equation for the potential of a prescribed family of orbits. Zbl 0376.70014
Broucke, R.; Lass, H.
1977
Central configurations of four bodies with one inferior mass. Zbl 0507.70008
Arenstorf, R. F.
1982
Bifurcation points in the planar problem of three bodies. Zbl 0364.70015
Zare, K.
1977
Elimination of the nodes in problems of $$n$$ bodies. Zbl 0623.70010
Deprit, André
1983
New Runge-Kutta algorithms for numerical simulation in dynamical astronomy. Zbl 0386.70006
Dormand, J. R.; Prince, P. J.
1978
Virtual singularities in the artificial satellite theory. Zbl 0306.70012
Henrard, Jaques
1974
Nonsemisimple 1:1 resonance at an equilibrium. Zbl 0485.70025
van der Meer, Jan-Cees
1982
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.
1978
On the equinoctial orbit elements. Zbl 0234.70028
Broucke, R. A.; Cefola, P. J.
1972
Families of periodic orbits in the three-body problem. Zbl 0303.70008
Hénon, Michel
1974
Non-restricted double-averaged three body problem in Hill’s case. Zbl 0342.70009
Lidov, M. L.; Ziglin, S. L.
1976
The effects of integrals on the totality of solutions of dynamical systems. Zbl 0349.70005
Zare, K.
1976
A perturbation method for problems with two critical arguments. Zbl 0614.70021
Henrard, Jacques; Lemaitre, Anne
1986
A general canonical transformation increasing the number of variables with application to the two-body problem. Zbl 0648.70009
Ferrándiz, J. M.
1988
A second-order solution of the ideal resonance problem by Lie series. Zbl 0229.70015
Jupp, Alan H.
1972
On optimal estimates for the solutions of linear difference equations on the circle. Zbl 0343.39002
Rüssmann, Helmut
1976
The intermediate anomaly. Zbl 0376.70013
Nacozy, Paul
1978
Effect of perturbations on the location of equilibrium points in the restricted problem of three bodies with variable mass. Zbl 0587.70009
1984
Procedures for solving Kepler’s equation. Zbl 0602.70008
Odell, A. W.; Gooding, R. H.
1986
The gravitational potential due to uniform disks and rings. Zbl 0561.70005
Lass, Harry; Blitzer, Leon
1983
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.
1984
Numerical determination of Lissajous trajectories in the restricted three-body problem. Zbl 0648.70004
Howell, K. C.; Pernicka, H. J.
1987
Resonance rotation of celestial bodies and Cassini’s laws. Zbl 0244.70011
Beletskii, V. V.
1972
The global solution of the problem of the critical inclination. Zbl 0263.70015
Garfinkel, Boris
1973
A regularization of the three-body problem. Zbl 0303.70014
Aarseth, S. J.; Zare, K.
1974
A global regularisation of the gravitational $$N$$-body problem. Zbl 0312.70015
Heggie, Douglas C.
1974
On relative periodic solutions of the planar general three-body problem. Zbl 0322.70012
Broucke, R.
1975
Lunar perturbations of artificial satellites of the Earth. Zbl 0343.70019
Giacaglia, Giorgio E. O.
1974
A new kind of 3-body problem. Zbl 0374.70007
Robe, H. A. G.
1978
Equivalence of the perturbation theories of Hori and Deprit. Zbl 0205.55005
Campbell, J. A.; Jeffreys, W. H.
1970
Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom. Zbl 0503.70009
Magnenat, P.
1982
An analytic solution to the classical two-body problem with drag. Zbl 0507.70004
Mittleman, Don; Jezewski, Don
1982
The KS-transformation in hypercomplex form. Zbl 0508.70006
Vivarelli, Maria Dina
1983
Hill stability and distance curves for the general three-body problem. Zbl 0519.70010
Marchal, Christian; Bozis, George
1982
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.
1988
The stellar three-body problem. Zbl 0191.23105
Harrington, R. S.
1969
Mechanized Algebraic Operations (MAO). Zbl 0193.15203
Rom, Arnold
1970
Classification of the motions of three bodies in a plane. Zbl 0219.70002
Szebehely, V.
1971
On the collinear libration points in the photo-gravitational three-body problem. Zbl 0554.70003
Kunitsyn, A. L.; Tureshbaev, A. T.
1985
Equations of motion of the restricted problem of three bodies with variable mass. Zbl 0566.70008
Shrivastava, A. K.; Ishwar, Bhola
1983
Mutual gravitational potential of N solid bodies. Zbl 0388.70006
Borderies, N.
1978
An exact analytical solution of Kepler’s equation. Zbl 0251.70011
Siewert, C. E.; Burniston, E. E.
1972
Stabilization of finite difference methods of numerical integration. Zbl 0257.65062
Bettis, D. G.
1970
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.
1974
Analytical solutions for Euler parameters. Zbl 0313.70003
Morton, Harold S. jun.; Junkins, John L.; Blanton, Jeffrey N.
1974
Bifurcation of a central configuration. Zbl 0644.70009
Meyer, Kenneth R.
1987
Numerical determination of three-dimensional periodic orbits generated from vertical self-resonant satellite orbits. Zbl 0426.70012
Robin, I. A.; Markellos, V. V.
1980
Stability criteria in many-body systems. Zbl 0454.70007
Walker, Ian W.; Emslie, A. Gordon; Roy, Archie E.
1980
Gravity-gradient stabilization of gyrostat satellites with rotor axes in principal planes. Zbl 0224.70016
Longman, Richard W.
1971
Regularization in the ideal resonance problem. Zbl 0232.70011
Garfinkel, Boris
1972
On nonclassical canonical systems. Zbl 0233.70012
Scheifele, G.
1970
A Runge-Kutta Nyström algorithm. Zbl 0262.65041
Bettis, D. G.
1973
Stabilization by manipulation of the Hamiltonian. Zbl 0319.70014
Baumgarte, J.; Stiefel, E.
1974
A theory of libration. Zbl 0342.70010
Garfinkel, Boris
1976
Numerical investigation of the planar restricted three-body problem. II: Regions of stability for retrograde satellites of Jupiter as determined by periodic orbits of the second generation. Zbl 0346.70009
Markellos, V. V.
1974
Two-body motion under the inverse square central force and equivalent geodesic flows. Zbl 0367.70005
Belbruno, E. A.
1977
Critical generating orbits for second species periodic solutions of the restricted problem. Zbl 0369.70007
Hitzl, Donald L.; Henon, Michel
1977
Are higher order resonances really interesting? Zbl 0377.70015
Sanders, Jan
1977
Effect of perturbations on the stability of triangular points. In the restricted problem of three bodies with variable mass. Zbl 0578.70006
1985
Orbits near critical inclination, including lunisolar perturbations. Zbl 0471.70014
Hough, Michael E.
1981
A note on Kowalevski exponents and the nonexistence of an additional analytic integral. Zbl 0675.70018
Yoshida, Haruo
1989
Simplify or perish. Zbl 0674.70004
Deprit, André; Miller, Bruce
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.
1989
A word of caution concerning the Yoshida criterion on algebraic integrability and Kowalevski exponents. Zbl 0688.70011
González-Gascón, F.
1989
Numerical integration methods in dynamical astronomy. Zbl 0674.70005
Kinoshita, Hiroshi; Nakai, Hiroshi
1989
PARSEC: An interactive Poisson series processor for personal computing systems. Zbl 0674.70007
Richardson, D. L.
1989
The constrained normal form algorithm. Zbl 0674.70018
Cushman, Richard; Sanders, Jan A.
1989
The stability of the Lagrangian point $$L_ 4$$. Zbl 0674.70020
Schmidt, D. S.
1989
A note on the application of a generalized canonical approach to nonlinear Hamiltonian systems. Zbl 0674.70027
Howland, R. A.
1989
A FORTRAN-based Poisson series processor and it’s applications in celestial mechanics. Zbl 0674.70006
Broucke, R. A.
1989
Nonuniqueness of families of periodic solutions in a four dimensional mapping. Zbl 0674.70026
Contopoulos, G.
1989
Note on the reduction transformation and secular coupling. Zbl 0688.70007
Henrard, J.
1989
On the dynamical derivation of the Titius-Bode law. Zbl 0694.70007
Patton, Jon M.
1989
A general canonical transformation increasing the number of variables with application to the two-body problem. Zbl 0648.70009
Ferrándiz, J. M.
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.
1988
Periodic solutions about the ‘out of plane’ equilibrium points in the photogravitational restricted three-body problem. Zbl 0663.70011
Ragos, O.; Zagouras, C.
1988
Homoclinic and heteroclinic solutions in the restricted three-body problem. Zbl 0674.70019
Gómez, G.; Llibre, J.; Masdemont, J.
1988
The critical inclination problem - 30 years of progress. Zbl 0664.70001
Jupp, A. H.
1988
Celestial coordinate reference systems in curved space-time. Zbl 0678.70020
Kopejkin, S. M.
1988
An expansion in power series of mutual potential for gravitating bodies with finite sizes. Zbl 0663.70004
Paul, M. K.
1988
Periodic orbits of the planetary type and their stability. Zbl 0664.70012
1988
Integration error over very long time spans. Zbl 0664.70014
Milani, Andrea; Nobili, Anna M.
1988
The hyperbolic Kepler equation (and the elliptic equation revisited). Zbl 0674.70017
Gooding, R. H.; Odell, A. W.
1988
Geometrical and physical outlook on the cross product of two quaternions. Zbl 0654.70016
Vivarelli, Maria Dina
1988
Tesseral harmonic perturbations for high order and degree harmonics. Zbl 0662.70008
Wnuk, Edwin
1988
Long periodic perturbations of Trojan asteroids. Zbl 0664.70011
Érdi, B.
1988
Solution of an inverse problem of the dynamics of a particle. Zbl 0672.70005
Shorokhov, S. G.
1988
A new integration theory for conservative two degree-of-freedom systems. Zbl 0675.70019
Hough, Michael E.
1988
A geometric approach to the ideal resonance problem. Zbl 0688.70021
Henrard, Jacques; Wauthier, Pascal
1988
Instability of the $$2+2$$ body problem. Zbl 0648.70013
Milani, Andrea; Nobili, Anna M.
1988
Translatory-rotatory motion of a gyrostat in a Newtonian force field. Zbl 0654.70007
Sansaturio, M. E.; Vigueras, A.
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.
1988
Two-body motion in the post-Newtonian approximation. Zbl 0664.70030
Richardson, D. L.; Kelly, T. J.
1988
A new approach to the librational solution in the ideal resonance problem. Zbl 0675.70012
Howland, R. A.
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.
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.
1988
Monte Carlo modelling of cometary dynamics. Zbl 0664.70016
Froeschlé, Claude; Rickman, Hans
1988
Elliptical Hill’s problem (large and small impact parameters). Zbl 0664.70039
Moons, M.; Delhaise, F.; Depaepe, E.
1988
On universal elements, and conversion procedures to and from position and velocity. Zbl 0674.70025
Gooding, R. H.
1988
The general Kepler equation and its solutions. Zbl 0683.70009
Stumpff, P.
1988
Admissible orbits in the Oort cloud and velocities on such orbits. Zbl 0648.70007
Serafin, Richard A.
1988
Restriction on the motion of a solid in a gravitational field. Zbl 0663.70007
Sergysels, Roland
1988
Supplemental satellites and lunisolar precession. Zbl 0665.70037
Bertotti, Bruno
1988
Integration theory for the restricted three-body-problem with application to P-type orbits. Zbl 0664.70009
Hagel, J.
1988
On resonance. Zbl 0664.70034
Ferraz-Mello, S.
1988
Sweeping through a second order resonance. Zbl 0673.70020
Henrard, Jacques; de Vleeschauwer, Anne
1988
Transversal ejection-collision orbits in Hill’s problem for $$C\gg 1$$. Zbl 0675.70008
1988
Numerical determination of Lissajous trajectories in the restricted three-body problem. Zbl 0648.70004
Howell, K. C.; Pernicka, H. J.
1987
Bifurcation of a central configuration. Zbl 0644.70009
Meyer, Kenneth R.
1987
Qualitative study of the planar isosceles three-body problem. Zbl 0657.70015
Simó, Carles; Martínez, Regina
1987
A cubic approximation for Kepler’s equation. Zbl 0635.70009
Mikkola, Seppo
1987
The solution of Kepler’s equation. III. Zbl 0647.70011
Danby, J. M. A.
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.
1987
Symmetric motions in the equatorial magnetic-binary problem. Zbl 0634.70010
Kalvouridis, T. J.; Mavraganis, A. G.
1987
Radial, transverse and normal satellite position perturbations due to the geopotential. Zbl 0698.70022
Rosborough, G. W.; Tapley, B. D.
1987
Generalized elliptic anomalies. Zbl 0652.70007
Ferrándiz, José M.; Ferrer, Sebastián; Sein-Echaluce, Maria L.
1987
Colombo’s top. Zbl 0657.70019
Henrard, Jacques; Murigande, Charles
1987
Exponential instability of collision orbit in the anisotropic Kepler problem. Zbl 0637.70006
Yoshida, Haruo
1987
The two-body problem in the (truncated) PPN-theory. Zbl 0646.70004
Soffel, M.; Ruder, H.; Schneider, Manfred
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.
1987
Note on Cid’s radial intermediary and the method of averaging. Zbl 0656.70031
Deprit, André; Ferrer, Sebastián
1987
Normal forms for symplectic maps of $$R^{2n}$$. Zbl 0664.70023
Bazzani, A.
1987
First order planetary perturbations with elliptic functions. Zbl 0652.70010
Williams, Carol A.; van Flandern, Thomas; Wright, Edward A.
1987
Equivalent problem in rigid body dynamics. I. Zbl 0658.70008
Yehia, H. M.
1987
Intrinsic stability of periodic orbits. Zbl 0658.70026
Hough, Michael E.
1987
From rotations and inclinations to zero configurational velocity surfaces. II. The best possible configurational velocity surfaces. Zbl 0636.70008
Saari, Donald G.
1987
Chaos in a quartic dynamical model. Zbl 0645.70014
Caranicolas, N.; Vozikis, Ch.
1987
The masses in an isosceles solution of the three-body problem. Zbl 0648.70005
Cabral, H. E.
1987
Dynamics analysis of a system of hinge-connected flexible bodies. Zbl 0654.70028
1987
Time scaling as an infinitesimal canonical transformation. Zbl 0664.70025
Cariñena, José F.; Ibort, Luis A.; Lacomba, Ernesto A.
1987
Motion of rigid bodies in a set of redundant variables. Zbl 0664.70026
Cid, Rafael; San Saturio, María-Eugenia
1987
Equivalent problems in rigid body dynamics. II. Zbl 0658.70009
Yehia, H. M.
1987
An analytical study of stable planetary orbits in the circular restricted problem. Zbl 0663.70012
Hagel, Johannes; Dvorak, Rudolf
1987
An analytic satellite theory using gravity and a dynamic atmosphere. Zbl 0643.70025
Hoots, Felix R.; France, Richard G.
1987
The ideal resonance problem. A comparison of two formal solutions. III. Zbl 0661.70030
Jupp, Alan H.
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.
1987
The inclination function in terms of nonsingular elements. Zbl 0664.70037
Wnuk, Edwin; Wytrzyszczak, Iwona
1987
Arbitrary order numerical solutions conserving the Jacobi constant in the motion near the equilibrium points. Zbl 0633.70006
Marciniak, Andrzej
1987
Consecutive collision orbits in the limiting case $$\mu =0$$ of the elliptic restricted problem. Zbl 0635.70013
Howell, K. C.
1987
The critical inclination in artificial satellite theory. Zbl 0645.70018
Coffey, Shannon L.; Deprit, André; Miller, Bruce R.
1986
A perturbation method for problems with two critical arguments. Zbl 0614.70021
Henrard, Jacques; Lemaitre, Anne
1986
Procedures for solving Kepler’s equation. Zbl 0602.70008
Odell, A. W.; Gooding, R. H.
1986
Canonical solution of the two critical arguments problem. Zbl 0608.70011
Wisdom, Jack
1986
Series expansions for encounter-type solutions of Hill’s problem. Zbl 0613.70004
Hénon, Michel; Petit, Jean-Marc
1986
The reducing transformation and apocentric librators. Zbl 0602.70013
Henrard, J.; Lemaitre, A.; Milani, A.; Murray, C. D.
1986
An improved algorithm due to Laguerre for the solution of Kepler’s equation. Zbl 0613.70007
Conway, Bruce A.
1986
Bifurcations in systems of three degrees of freedom. Zbl 0609.70014
Contopoulos, G.
1986
Study of the terms of coupling between rotational and translational motions. Zbl 0613.70024
Zanardi, M. C.
1986
On the radial intermediaries and the time transformation in satellite theory. Zbl 0645.70017
Cid, R.; Ferrer, S.; Sein-Echaluce, M. L.
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.
1986
A note on the elliptic restricted three-body problem. Zbl 0625.70005
Gómez, Gerard; Ollé, Merce
1986
On an analytical solution of the optimum trajectory problem in a gravitational field. Zbl 0602.70017
Azizov, A. G.; Korshunova, N. A.
1986
Existence of libration points in the generalized photogravitational restricted problem of three bodies. Zbl 0613.70008
Kumar, Vijay; Choudhry, R. K.
1986
A theory of integration for the extended Delaunay method. Zbl 0613.70022
Sessin, Wagner
1986
Linearization in special cases of perturbed Keplerian motions. Zbl 0619.70008
Ferrándiz, José M.
1986
Solution of the three-dimensional inverse problem. Zbl 0622.70002
Bozis, George; Nakhla, Atef
1986
Nonsingular elements in description of the motion of small eccentricity and inclination satellites. Zbl 0627.70025
Wytrzyszczak, Iwona
1986
Bounds on the solution to Kepler’s equation. Zbl 0602.70007
Serafin, R. A.
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
1986
Isovortical orbits in uniformly rotating coordinates. Zbl 0644.70005
Hough, Michael E.
1986
...and 764 more Documents
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#### Cited by 2,245 Authors

 51 Llibre, Jaume 41 Palacián, Jesús F. 31 Elipe, Antonio 30 Yanguas, Patricia 29 Vidal, Claudio 28 Papadakis, K. E. 26 Henrard, Jacques 23 Hadjidemetriou, John D. 23 Markellos, V. V. 23 Meyer, Kenneth R. 21 Celletti, Alessandra 21 Deprit, André 21 Perdios, Efstathios A. 21 Singh, Jagadish 20 Giorgilli, Antonio 19 Kalvouridis, Tilemahos J. 19 Lara, Martín 18 Ferrer, Sebastián 17 Garfinkel, Boris 17 Jupp, Alan H. 17 Mello, Luis Fernando O. 17 Pucacco, Giuseppe 17 Saari, Donald Gene 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 Brumberg, Victor A. 14 Diacu, Florin Nicolae 14 Pérez-Chavela, Ernesto 13 Broucke, Roger A. 13 Fernandes, Antonio Carlos 13 Ferrándiz, José Manuel 13 Gurfil, Pini 13 Lanchares, Víctor 13 Morbidelli, Alessandro 13 San-Juan, Juan Félix 13 Zagouras, C. G. 12 Baumgarte, Joachim W. 12 Érdi, Bálint 12 Hough, Michael E. 12 Yoshida, Haruo 11 Cushman, Richard H. 11 de la Llave, Rafael 11 Moeckel, Richard 11 Ollé, Mercè 11 Yan, Duokui 10 Abouelmagd, Elbaz I. 10 Alfriend, Kyle T. 10 Corbera, Montserrat 10 Cors, Josep Maria 10 Dvorak, Rudolf 10 Efthymiopoulos, Christos 10 Gómez, Gerard 10 Guzzo, Massimiliano 10 Kholshevnikov, Konstantin Vladislavovich 10 Maciejewski, Andrzej J. 10 Markeev, Anatoliĭ Pavlovich 10 Martin, Pablo 10 Mavraganis, A. G. 10 Milani, Andrea 10 Pascal, Madeleine 10 Pinzari, Gabriella 10 Prado, Antônio Fernando Bertachini de Almeida 10 Vivarelli, Maria Dina 10 Voyatzis, George 9 Benettin, Giancarlo 9 Ferronsky, S. V. 9 Howell, Kathleen Connor 9 Lemaitre, Anne 9 Marchal, Christian 9 Ouyang, Tiancheng 9 Prokopenya, Alexander N. 9 Ragos, Omiros 9 Richardson, David L. 9 Roy, Archie E. 9 Scheeres, Daniel J. 9 Sun, Yisui 9 Verhulst, Ferdinand 9 Wiggins, Stephen 8 Abad, Alberto J. 8 Bambusi, Dario 8 Barrio, Roberto 8 Carati, Andrea 8 Chierchia, Luigi 8 Ferronsky, V. I. 8 Fukushima, Toshio 8 Galgani, Luigi 8 Ishwar, Bhola 8 Kozlov, Valeriĭ Vasil’evich 8 Leach, Peter Gavin Lawrence 8 Maiocchi, Alberto Mario 8 Mikkola, Seppo 8 Pascual, Ana Isabel 8 Robutel, Philippe 8 Russell, Ryan P. ...and 2,145 more Authors
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#### Cited in 254 Journals

 664 Celestial Mechanics 611 Celestial Mechanics and Dynamical Astronomy 137 Astrophysics and Space Science 80 Journal of Differential Equations 76 Journal of Mathematical Physics 56 Physica D 43 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 34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 30 Journal of Computational and Applied Mathematics 29 Applied Mathematics and Computation 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 21 Communications in Nonlinear Science and Numerical Simulation 19 Prikladnaya Matematika i Mekhanika 18 Communications in Mathematical Physics 18 Linear Algebra and its Applications 17 Chaos, Solitons and Fractals 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 Computers & Mathematics with Applications 13 Nonlinearity 12 Archive for Rational Mechanics and Analysis 12 Computer Methods in Applied Mechanics and Engineering 12 Journal of Geometry and Physics 12 Acta Applicandae Mathematicae 11 Acta Mechanica 11 Journal of Statistical Physics 11 Discrete and Continuous Dynamical Systems 10 Applied Numerical Mathematics 9 Meccanica 8 Inventiones Mathematicae 8 Journal of Symbolic Computation 8 International Journal of Computer Mathematics 8 International Journal of Modern Physics D 8 SIAM Journal on Applied Dynamical Systems 7 International Journal of Theoretical Physics 7 The Moon and the Planets 7 Mathematics and Computers in Simulation 7 Proceedings of the American Mathematical Society 7 Programming and Computer Software 7 Applied Mathematics and Mechanics. (English Edition) 7 Discrete and Continuous Dynamical Systems. Series B 7 Nelineĭnaya Dinamika 6 Mathematical Notes 6 Journal of Optimization Theory and Applications 6 Multibody System Dynamics 6 Abstract and Applied Analysis 6 Nonlinear Analysis. Real World Applications 5 Computer Physics Communications 5 General Relativity and Gravitation 5 International Journal of Control 5 Theoretical and Mathematical Physics 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 Nonlinear Mathematical Physics 5 Mathematics in Computer Science 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Reviews in Mathematical Physics 4 Automatica 4 Mathematische Zeitschrift 4 Numerische Mathematik 4 Ergodic Theory and Dynamical Systems 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 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 Journal of Computational Physics 3 Letters in Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Reports on Mathematical Physics 3 Rocky Mountain Journal of 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 3 Numerical Algorithms 3 Vestnik St. Petersburg University. Mathematics 3 Journal of Computer and Systems Sciences International 3 Journal of Difference Equations and Applications 3 Dynamical Systems 3 International Journal of Geometric Methods in Modern Physics ...and 154 more Journals
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#### Cited in 54 Fields

 2,253 Mechanics of particles and systems (70-XX) 670 Dynamical systems and ergodic theory (37-XX) 380 Ordinary differential equations (34-XX) 210 Numerical analysis (65-XX) 177 Astronomy and astrophysics (85-XX) 76 Relativity and gravitational theory (83-XX) 54 Systems theory; control (93-XX) 52 Partial differential equations (35-XX) 48 Optics, electromagnetic theory (78-XX) 44 Differential geometry (53-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 33 Quantum theory (81-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 32 Mechanics of deformable solids (74-XX) 30 Computer science (68-XX) 24 Global analysis, analysis on manifolds (58-XX) 24 Statistical mechanics, structure of matter (82-XX) 20 Fluid mechanics (76-XX) 17 Geophysics (86-XX) 14 Nonassociative rings and algebras (17-XX) 12 Topological groups, Lie groups (22-XX) 12 Special functions (33-XX) 12 Operator theory (47-XX) 10 History and biography (01-XX) 10 Approximations and expansions (41-XX) 10 Manifolds and cell complexes (57-XX) 8 Group theory and generalizations (20-XX) 8 Biology and other natural sciences (92-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) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 4 Operations research, mathematical programming (90-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 Geometry (51-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-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)