Δημοσιεύσεις
1. N. I. Ioakimidis and K. E. Papadakis, “Analytical Solution of the Lagrange Quintic Equation in the Three-Body Problem in Celestial Mechanics”, Acta Mechanica, 1985, 55, pp. 267-272.
2. N. I. Ioakimidis and K. E. Papadakis, “A New Simple Method for the Analytical Solution of Kepler’s Equation”, Celes. Mech., 1985, 35, pp. 305-316.
3. K. E. Papadakis, E. A. Perdios and V. V. Markellos, “Nonlinear Approximation of Periodic Three-Body Motions Around Collinear Equilibrium Configurations”, Astrophys. Space Sci., 1988, 140, pp. 373-383.
4. E. A. Perdios, K. E. Papadakis and V. V. Markellos, “The Stability Parameters of Three-Dimensional Periodic Three-Body Orbits”, Astrophys. Space Sci., 1988, 146, pp. 19-26.
5. N. I. Ioakimidis and K. E. Papadakis, “A New Class of Quite Elementary Closed-Form Integral Formulae for Roots of Nonlinear Equations”, Applied Math. & Computation, 1989, 29, pp. 185-196.
6. N. I. Ioakimidis, E A. Perdios and K. E. Papadakis, “Numerical Estimation of the Coefficient of the Homogeneous Riemann-Hilbert Problem on the Basis of Boundary Data”, Applied Math. & Computation, 1991, 41, pp. 21-33.
7. N. I. Ioakimidis, K. E. Papadakis and E A. Perdios, “Numerical Evaluation of Analytic Functions by Cauchy’s Theorem”, BIT, 1991, 31, pp. 276-285.
8. K. E. Papadakis and V. V. Markellos, “On Basic Families of Three-Dimensional Periodic Orbits of Three Massive Bodies and their Stability”, Astrophys. Space Sci., 1992, 191, pp. 223-229.
9. V. V. Markellos, E. A. Perdios and K. E. Papadakis, “The Stability of Inner Collinear Equilibrium Points in the Photogravitational Elliptic Restricted Problem”, Astrophys. Space Sci., 1993, 199, pp. 139-146.
10. K. E. Papadakis and C. G. Zagouras, “Bifurcation Points and Intersections of Families of Periodic Orbits in the Three Dimensional Restricted Three-Body Problem”, Astrophys. Space Sci., 1993, 199, pp. 241-256.
11. V. V. Markellos, K. E. Papadakis and E. A. Perdios, “Non-Linear Stability Zones Around the Triangular Lagrangian Points”, From Newton to Chaos, Edited by A. E. Roy and B. A. Steves, Plenum Press, New York, 1995, pp. 371-377.
12. V. V. Markellos, E. A. Perdios and K. E. Papadakis, “Asymptotic Orbits as Terminations of Families of Periodic Orbits in the Copenhagen Problem with and without Radiation Pressure”, From Newton to Chaos, Edited by A. E. Roy and B. A. Steves, Plenum Press, New York, 1995, pp. 395-405.
13. K. E. Papadakis, “On the Non-Linear Stability of the Inner Collinear Equilibrium Point in the Three-Body Problem”, 2nd Astronomical Conference, organized by the Hellenic Astronomical Society, 1996, pp. 563-570, Thessaloniki, Greece.
14. K. E. Papadakis, “The Geometry of the Roche Coordinates and Zero-Velocity Curves in the Photogravitational Three-Body Problem”, Astrophys. Space Sci., 1995, 232, pp. 337-354.
15. K. E. Papadakis, “Families of Periodic Orbits in the Photogravitational Three-Body problem”, Astrophys. Space Sci., 1996, 245, pp. 1-13.
16. O. Ragos, K. E. Papadakis and C. G. Zagouras, “Stability Regions and Quasi-Periodic Motion in the Vicinity of Triangular Equilibrium Points”, Celes. Mech. And Dynam. Astron., 1997, 67, pp. 251-274.
17. V. V. Markellos, K. E. Papadakis and E. A. Perdios, “Non-Linear Stability Zones Around Triangular Equilibria in the Plane Circular Restricted Three-Body Problem with Oblateness”, Astrophys. Space Sci., 1996, 245, pp. 157-164.
18. E. A. Perdios and K. E. Papadakis, “Vertical-Critical Periodic Orbits in the General Three-Body Problem”, Astrophys. Space Sci., 1997, 253, pp. 73-85.
19. E. A. Perdios, K. E. Papadakis and V. V. Markellos, “A note on parameter values for stable low-inclination periodic motion in the Restricted Three-Body Problem with radiation”, Astrophys. Space Sci., 1997, 254, pp. 151-153.
20. V. V. Markellos, K. E. Papadakis and E. A. Perdios, “The Plane Restricted Five-body Problem”, 6th European Astronomical Meeting (JENAM 97), 1997, Thessaloniki, Greece.
21. K. E. Papadakis, “Effect of radiation on the non-linear stability zones of the Lagrangian equilibrium points”, Celes. Mech. And Dynam. Astron., 1999, 72, pp. 235 – 244.
22. Α. Περδίου, Κ. Ε. Παπαδάκης, Ε. Περδίος, Β. Καλαντώνης και Μ. Βραχάτης, “Χάρτης περιοδικών απλών συμμετρικών λύσεων σε προβλήματα υψηλά δονητικά διεγερμένων μικρών πολυατομικών μορίων”, 12ο Θερινό Σχολείο – Πανελλήνιο Συνέδριο, Μη Γραμμική Δυναμική: Χάος και Πολυπλοκότητα, 14-24 Ιουλίου 1999, Πάτρα.
23. E. P. Valaris and K. E. Papadakis, “Instability in the 3rd Dimension of the Extended Störmer Problem”, Earth, Moon and Planets, 2000, 84, pp. 63-79.
24. M. Vrahatis, A. Perdiou, V. Kalantonis, E. Perdios, K. Papadakis, R. Prosmiti and S. Farantos, “Application of the Characteristic Bisection Method for Locating and Computing Periodic Orbits in Molecular Systems”, Computer Physics Communication, 2001, 138, pp. 53-68.
25. V. V. Markellos, K. E. Papadakis E. A. Perdios and C. N. Douskos, “The Restricted five body problem: Regions of motion, equilibrium points and related periodic orbits”, 4th GRACM Congress on Computational Mechanics, 2002, Patras, Greece.
26. C. L. Goudas, K. E. Papadakis and G. A. Katsiaris, “Approximate general solution of the Double Well two-degree of freedom dynamical system”, 4th GRACM Congress on Computational Mechanics, 2002, Patras, Greece. (Μέρος της εργασίας αυτής περιλαμβάνεται στο paper 37).
27. K. E. Papadakis, “The regularized Photogravitational Hill problem”, in Recent advances in Mechanics and related fields, Volume in honour of Prof. C. L. Goudas, 2004, pp. 81-88, Patras, Greece.
28. C. L. Goudas, K. E. Papadakis and E. P. Valaris, “Approximate general solution of 2-degree of freedom dynamical systems using ‘Les solutions precieuses’”, Astrophys. Space Sci., 2003, 286, pp. 461-486.
29. E. P. Valaris, M. Leftaki and K. E. Papadakis, “Atlas of the General Solution of the Henon-Heiles Problem”, in Recent advances in Mechanics and related fields, Volume in honour of Prof. C. L. Goudas, 2004, pp. 379-391, Patras, Greece.
30. K. E. Papadakis, “The planar Hill problem with oblate primary”, Astrophys. Space Sci., 2004, 293, pp. 271-287.
31. K. E. Papadakis, C. L. Goudas and G. A. Katsiaris, “The General Solution of the Henon-Heiles Problem”, Astrophys. Space Sci., 2004, 295, 375-396.
32. K. E. Papadakis, “The 3D restricted three-body problem under angular velocity variation”, 2004, Astronomy & Astrophysics, 2004, 425, pp. 1133-1142.
33. K. E. Papadakis, “The planar photogravitational Hill problem”, International Journal of Bifurcation and Chaos, 2006, 16, pp. 1809-1821.
34. K. E. Papadakis, “Numerical exploration of Chermnykh’s problem”, Astrophys. Space Sci., 2005, 299, pp. 67-81.
35. C. L. Goudas and K. E. Papadakis, “Global Solution of Dynamical Systems. A Report to Z. Kopal, on what followed since”, Astrophys. Space Sci., 2005, 296, pp. 79-89.
36. K. E. Papadakis, “Motion around the triangular equilibrium points of the restricted three-body problem under angular velocity variation”, Astrophys. Space Sci., 2005, 299, pp. 129-148.
37. K. E. Papadakis G. A. Katsiaris, and C. L. Goudas, “Approximate General Solution of the two-dimensional Duffing dynamical system”, Astrophys. Space Sci., 2005, 300, pp. 297-328.
38. C. L. Goudas, K. E. Papadakis and G. A. Katsiaris, “Numerical investigation of the galactic problem by computing families of periodic solutions”, Astrophys. Space Sci., 2006, 301, pp. 97-116.
39. K. E. Papadakis, “Homoclinic and heteroclinic orbits in the photogravitational restricted three-body problem”, Astrophys. Space Sci., 2006, 302, pp. 67-82.
40. K. E. Papadakis, “Asymptotic orbits at the triangular equilibria in the photogravitational restricted three-body problem”, Astrophys. Space Sci., 2006, 305, pp. 57-66.
41. K. E. Papadakis, “The manifold of symmetric periodic solutions of the restricted four-body problem”, 2nd IC-SCCE Conference ‘From Scientific Computing to Computational Engineering’, 2006, Athens, Greece.
42. K. E. Papadakis, “Asymmetric periodic orbits from the triangular equilibrium points of the restricted four-body problem”, 2nd IC-SCCE Conference ‘From Scientific Computing to Computational Engineering’, 2006, Athens, Greece.
43. K. E. Papadakis and C. L. Goudas, “Restricted three-body problem: An approximation of its general solution -part one- the manifold of symmetric periodic solutions”, Astrophys. Space Sci., 2006, 305, pp. 99-124.
44. C. L. Goudas and K. E. Papadakis, “Evolution of the General Solution of the Restricted Problem Covering Symmetric and Escape Solutions”, Astrophys. Space Sci., 2006, 306, pp. 41-68.
45. K. E. Papadakis, “Zone of asymptotic solutions in the restricted three-body problem”, 2nd International Conference on Experiments/ Process/ System/ Modeling/ Simulation & Optimization, 2007, Athens, Greece.
46. K. E. Papadakis, “Asymmetric periodic solutions in the Hill problem”, 2nd International Conference on Experiments/ Process/ System/ Modeling/ Simulation & Optimization, 2007, Athens, Greece.
47. K. E. Papadakis, “Asymptotic orbits in the restricted four-body problem”, Planetary and Space Sci., 2007, 55, pp. 1368-1379.
48. K. E. Papadakis and S. S. Kanavos, “Numerical exploration of the photogravitational restricted five-body problem”, Astrophys. Space Sci., 2007, 310, pp. 119-130.
49. K. E. Papadakis, O. Ragos and C.D. Litzerinos, “Asymmetric periodic orbits in the photogravitational Copenhagen problem”, 2008, Journal of Computational and Applied Mathematics, 2009, 227, pp. 102-114.
50. P. S. Soulis, K. E. Papadakis and T. Bountis, “Periodic orbits and bifurcations in the Sitnikov four-body problem”, Celes. Mech. and Dynam. Astron., 2008, 100, pp. 251-266.
51. K. E. Papadakis, “Families of asymmetric periodic orbits in the restricted three-body problem”, Earth Moon, and Planets, 2008, 103, pp. 25-42.
52. K. E. Papadakis, “Asymmetric periodic solutions in the restricted three-body problem”, Dynamics of Celestial Bodies, Edited by Sylvio Ferraz-Mello, Zoran Knezevic and Harry Varvoglis, Astronomical Observatory of Belgrade, 2008.
53. T. Bountis and K. E. Papadakis, "The stability of vertical motion in the N-body circular Sitnikov problem", Celes. Mech. and Dynam. Astron., 2009, 104, pp. 205-225.
54. K. E. Papadakis, and M. I. Rodi, “Asymmetric periodic solutions in the restricted problem of three bodies”, Earth, Moon, and Planets, 2010, 106, pp. 37-53 and 2010, 106, pp. 159-159.
55. K. E. Papadakis, “Asymptotic orbits in the (N+1)-body ring problem”, Astrophys. Space Sci., 2009, 323, pp. 261-272.
56. A. N. Baltagiannis and K. E. Papadakis, "Equilibrium points and their stability in the restricted four-body problem", International Journal of Bifurcation and Chaos, 2011, 21, pp. 2179-2193.
57. A. N. Baltagiannis and K. E. Papadakis, "Families of periodic orbits in the restricted four-body problem", Astrophys. Space Sci., 2011, 336, pp. 357-367.
58. A. N. Baltagiannis and K. E. Papadakis, "Families of periodic orbits in the Sun-Jupiter-Trojan Asteroid system", 10th Hellenic Astronomical Conference, 2011, Ioannina, Greece.
59. A. N. Baltagiannis and K. E. Papadakis, “Periodic solutions in the Sun - Jupiter – Trojan Asteroid – Spacecraft system”, Planetary and Space Sci., 2013, 75, 148-157.
60. J. P. Papadouris and K. E. Papadakis, “Equilibrium points in the photogravitational restricted four-body problem”, Astrophys. Space Sci., 2013, 344, 21-38.
61. A. N. Baltagiannis and K. E. Papadakis, "Study of the restricted four-body problem by computing families of periodic solutions", 10th HSTAM International Congress on Mechanics, 2013, Chania, Greece.
62. A. N. Baltagiannis and K. E. Papadakis, "3d periodic orbits in the restricted four-body problem", 11th Hel.A.S. Hellenic Astronomical Conference, 2013, Athens, 8-12 September, Greece.
63. J. P. Papadouris and K. E. Papadakis, "The network of the families of symmetric periodic orbits of the photogravitational restricted four-body problem", 11th Hel.A.S. Hellenic Astronomical Conference, 2013, Athens, 8-12 September, Greece.
64. J. P. Papadouris and K. E. Papadakis, “Periodic solutions in the photogravitational restricted four-body problem”, MNRAS, 2014, 442, 1628-1639.
65. J. P. Papadouris and K. E. Papadakis, "Families of 3D periodic orbits in the photogravitational restricted four-body problem", 12th Hel.A.S. Hellenic Astronomical Conference, 2015, Thessaloniki, 28 June -2 July, Greece.
66. A. N. Baltagiannis and K. E. Papadakis, "3D asymmetric periodic orbits in the Sun-Jupiter-Trojan Asteroid-Spacecraft system", 12th Hel.A.S. Hellenic Astronomical Conference, 2015, Thessaloniki, 28 June -2 July, Greece.
67. K. E. Papadakis, “Families of three-dimensional periodic solutions in the circular restricted four-body problem”, Astrophys. Space Sci., 2016, 361:129.
68. K. E. Papadakis, “Families of asymmetric periodic solutions in the restricted four-body problem”, Astrophys. Space Sci., 2016, 361:377.
69. A. N. Baltagiannis and K. E. Papadakis, "Families of multi multiplicity periodic orbits in the Sun-Jupiter-Asteroid-Spacecraft system", 13th Hel.A.S. Hellenic Astronomical Conference, 2017, Heraklion, 2 -6 July, Greece.
70. E. E. Zotos and K. E. Papadakis, “Orbit classification and networks of periodic orbits in the planar circular restricted five-body problem”, International Journal of Non-Linear Mechanics, 2019, 111, 119-141.
71. E. E. Zotos, K. E. Papadakis, Md Sanam Suraj, Amit Mittal, Rajiv Aggarwal, “Networks of periodic orbits in the circular restricted three-body problem with first order post-Newtonian terms”, Meccanica, 2019, 54, 2339-2365.
72. E. E. Zotos, C. Jung, K. E. Papadakis, “Families of periodic orbits in a double-barred galaxy model”, Communications in Nonlinear Science and Numerical Simulation, 2020, Vol. 89, 105283.
73. E. E. Zotos, C. Jung, K. E. Papadakis, T. Saeed, “Networks of planar symmetric periodic orbits in a barred galaxy model”, Astronomical Notes, 2020, 341, 684-702.
74. E. E. Zotos, K. E. Papadakis, S. Wageh, “Mapping exomoon trajectories around Earth-like exoplanets”, MNRAS, 2021, 502, 5292-5301.
75. K. E. Papadakis, Tareq Saeed, E. E. Zotos, “Networks and bifurcations of eccentric orbits in exoplanetary systems”, International Journal of Bifurcation and Chaos, 2021, 31, No. 13, 2130038.
76. H.I. Alrebdi, K. E. Papadakis, F.L. Dubeibe, E. E. Zotos, “Equilibrium points and networks of periodic orbits in the pseudo-Newtonian planar circular restricted three-body problem”, The Astronomical Journal, 2022, 163:75 (19pp)
77. E. E. Zotos, Hind Albalawi, Tobias C. Hinse, K. E. Papadakis, Jose L. Alvarellos, “Quantitative orbit classification of the planar restricted three-body problem with application to the motion of a satellite around Jupiter”, Chaos, Solitons and Fractals, 2021, 152, 111444
78. H.I. Alrebdi, Fredy L. Dubeibe, K. E. Papadakis, E. Zotos, “Equilibrium dynamics of a circular restricted three-body problem with Kerr-like primaries”, NODY, 2022, 107, 433-456
79. H.I. Alrebdi, K. E. Papadakis, J. F. Navarro, E. Zotos, “Manifold dynamics and periodic orbits in a multiwell potential”, Chaos, Solitons and Fractals, 2022, 160, 112208
80. H.I. Alrebdi, K. E. Papadakis, F. L. Dubeibe, E. Zotos, “Orbit classification in a galaxy model with a biaxial dark matter halo”, Astronomy and Computing, 2024, accepted