The N-body Problem

  • Variational Construction of Periodic Solution of the Two-Body Problem
    Preprint (2019) [preprint]

  • (with Predrag Punosevac) Regularization of Simultaneous Binary Collisions in Some Graviational Systems
    Rocky Mountain Journal of Mathematics 42(1) (2012), 257-283
  • [pdf file]

  • The Hill's Region of the Four-Body Problem
  • Contemporary Math. 292(2002), 239-265 edited by Z.-H. Xia(2001)
    [pdf file | ps file]

  • Power Series Solutions and Integral Manifold of the n-body Problem
    Reg. Chaot. Dyn. 6(4)(2001), 433-442
  • [pdf file | ps file ]

  • (with C. McCord and K.R.Meyer)The Integral Manifold of the Three-body Problem
  • AMS Memoirs Vol 132 no. 628 (1998)

  • (with K.R.Meyer) The Collinear Three-body Problem with Negative Energy
  • J. Diff. Eq. 119(2) (1995) p284-309

  • The Horseshoe Map in The Collinear Three-body Problem,
  • Hamiltonian dynamics and celestial mechanics, The proceeding for the second
    international conference in dynamical systems and celestial mechanics,
    Cocoyoc Mexico. Edited by L. Lacomba and J Libre. (1995).

  • (with K.R. Meyer)The Global Phase Structure for the Three-dimensional Isosceles Three-body Problem
  • with Zero Energy
    Hamiltonian Dynamical Systems II edited by K.R. Meyer, H.S Dumas, D.S. Schmidt, (1995), 265-282.

  • (with K.R.Meyer) The Global Phase Structure of the Restricted Isosceles Three-body Problem
  • with Positive Energy
    Trans. Amer. Math. Soc. 338(1) (1993) p311-336

  • The Global Solution of N-body Problem
  • Celest. Mech. 50 (1991) p73-88