Díaz-Cano Ocaña, AntonioGonzalez Gascón, F.2023-06-202023-06-202006[1] L. Meirovitch, Methods of Analytical Dynamics, Dover Publications, New York, 2003; V.I. Arnold, Mathematical Methods of Classical Mechanics, in: Graduate Texts in Mathematics, vol. 60, Springer-Verlag, New York, 1978. [2] E. Serra, S. Terracini, Nonlinear Anal. 22 (1994) 45; V. Coti Zelati, E. Serra, Ann. Mat. Pura Appl. 166 (1994) 343. [3] A. Ambrosetti, V. Coti Zelati, Math. Z. 201 (1989) 227; V. Coti Zelati, Nonlinear Anal. 12 (1988) 209. [4] Z. Makó, F. Szenkovits, Celestial Mech. Dynam. Astronom. 90 (2004) 51. [5] F. Diacu, E. Pérez-Chavela, M. Santoprete, J. Math. Phys. 46 (2005) 072701. [6] S. Axler, P. Bourdon,W. Ramey, Harmonic Function Theory, in: Graduate Texts in Mathematics, vol. 137, Springer-Verlag, New York, 2001. [7] R.J. Walker, Algebraic Curves, Springer-Verlag, New York, 1978. [8] S.S. Abhyankar, Algebraic Geometry for Scientists and Engineers, in: Mathematical Surveys and Monographs, vol. 35, American Mathematical Society, Providence, 1990; D. Eisenbud, Commutative Algebra with a View Towards Algebraic Geometry, in: Graduate Texts in Mathematics, vol. 150, Springer-Verlag, New York, 1999.0375-960110.1016/j.physleta.2006.05.027https://hdl.handle.net/20.500.14352/49878It is shown that for particles moving in a plane under the action of attracting central potentials and a perturbing force (potential but not central),orbits representing the falling down of the particle to the center of force exist.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0375960106007171http://www.sciencedirect.com/restricted access530.1Collision orbitsPerturbation of central potentialsFísica matemática