Constructing the natural families of periodic orbits near irregular bodies

[1]  D. Scheeres,et al.  Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia , 1996 .

[2]  Weiduo Hu.  Orbital motion in uniformly rotating second degree and order gravity fields. , 2004 .

[3]  Martin Lara,et al.  On the numerical continuation of periodic orbits: An intrinsic, 3-dimensional, differential, predictor-corrector algorithm , 2002 .

[4]  Yang Yu,et al.  ORBITAL DYNAMICS IN THE VICINITY OF ASTEROID 216 KLEOPATRA , 2012 .

[5]  Ch. Skokos,et al.  On the stability of periodic orbits of high dimensional autonomous Hamiltonian systems , 2001 .

[6]  E. Dejong,et al.  Dynamics of Orbits Close to Asteroid 4179 Toutatis , 1998 .

[7]  J. Henrard,et al.  NATURAL FAMILIES OF PERIODIC ORBITS , 1967 .

[8]  Hexi Baoyin,et al.  Generating families of 3D periodic orbits about asteroids , 2012 .

[9]  Kathleen C. Howell,et al.  Three-Dimensional Periodic Halo Orbits , 1981 .

[10]  Daniel J. Scheeres,et al.  Periodic Orbits in Rotating Second Degree and Order Gravity Fields , 2008 .

[11]  L. Chua,et al.  Methods of qualitative theory in nonlinear dynamics , 1998 .

[12]  Kenneth R. Meyer,et al.  Periodic Solutions of the N-Body Problem , 2000 .

[13]  H. Poincaré,et al.  Les méthodes nouvelles de la mécanique céleste , 1899 .

[14]  V. Szebehely,et al.  Theory of Orbits: The Restricted Problem of Three Bodies , 1967 .

[15]  Eduard Zehnder,et al.  Notes on Dynamical Systems , 2005 .

[16]  R. S. Hudson,et al.  Orbits Close to Asteroid 4769 Castalia , 1996 .

[17]  V. Arnold.  Mathematical Methods of Classical Mechanics , 1974 .

[18]  Hexi Baoyin,et al.  Periodic orbits in the gravity field of a fixed homogeneous cube , 2011 .

[19]  D. Scheeres.  Dynamics about Uniformly Rotating Triaxial Ellipsoids: Applications to Asteroids , 1994 .

[20]  Emilio Freire,et al.  Continuation of periodic orbits in conservative and Hamiltonian systems , 2003 .

[21]  D. T. Greenwood.  Principles of dynamics , 1965 .

[22]  A. Lemaitre,et al.  A perturbation method for problems with two critical arguments , 1986 .

[23]  A. Elipe,et al.  Non-linear stability of the equilibria in the gravity field of a finite straight segment , 2001 .