Differential algebra methods applied to continuous abacus generation and bifurcation detection: application to periodic families of the Earth–Moon system

[1]  Diane C. Davis,et al.  Near rectilinear halo orbits and nearby higher-period dynamical structures: orbital stability and resonance properties , 2020 .

[2]  Kandyce Goodliff,et al.  The Artemis Program: An Overview of NASA's Activities to Return Humans to the Moon , 2020, 2020 IEEE Aerospace Conference.

[3]  Diane C. Davis,et al.  Ballistic Lunar Transfers to Near Rectilinear Halo Orbit: Operational Considerations , 2020 .

[4]  Terry D. Haws,et al.  SLS, the Gateway, and a Lunar Outpost in the Early 2030s , 2019, 2019 IEEE Aerospace Conference.

[5]  Gerard Gómez,et al.  A new subdivision algorithm for the flow propagation using polynomial algebras , 2018, Commun. Nonlinear Sci. Numer. Simul..

[6]  Mauro Massari,et al.  Differential Algebra software library with automatic code generation for space embedded applications , 2018 .

[7]  Jeffrey Stuart Parker,et al.  Long term evolution of distant retrograde orbits in the Earth-Moon system , 2017 .

[8]  A. Morselli,et al.  Differential algebra space toolbox for nonlinear uncertainty propagation in space dynamics , 2016 .

[9]  M. Berz,et al.  Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting , 2015 .

[10]  Jeffery Parker,et al.  Long Duration Stability of Distant Retrograde Orbits , 2014 .

[11]  P. Kuchynka,et al.  The Planetary and Lunar Ephemerides DE430 and DE431 , 2014 .

[12]  Renato Zanetti,et al.  Navigation Design and Analysis for the Orion Earth-Moon Mission , 2014 .

[13]  M. Berz,et al.  Asteroid close encounters characterization using differential algebra: the case of Apophis , 2010 .

[14]  J. Marsden,et al.  Dynamical Systems, the Three-Body Problem and Space Mission Design , 2009 .

[15]  B. Gillespie,et al.  The Apache Point Observatory Lunar Laser-ranging Operation (APOLLO): Two Years of Millimeter-Precision Measurements of the Earth-Moon Range , 2009 .

[16]  Par C. Sturm.  Mémoire sur la résolution des équations numériques , 2009 .

[17]  Michèle Lavagna,et al.  Application of high order expansions of two-point boundary value problems to astrodynamics , 2008 .

[18]  Chunlai Li,et al.  China's Lunar Exploration Program: Present and future , 2008 .

[19]  Randy C. Paffenroth,et al.  Elemental Periodic orbits Associated with the libration Points in the Circular Restricted 3-Body Problem , 2007, Int. J. Bifurc. Chaos.

[20]  Francesco Topputo,et al.  A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics , 2006 .

[21]  J. Masdemont,et al.  High-order expansions of invariant manifolds of libration point orbits with applications to mission design , 2005 .

[22]  Christopher W. Stubbs,et al.  Apache Point Observatory Lunar Laser-ranging Operation (APOLLO) , 2004 .

[23]  J. Masdemont,et al.  Libration Point Orbits and Applications Libration Point Orbits: a Survey from the Dynamical Point of View I. Dynamics and Phase Space around the Libration Points , 2022 .

[24]  Arnold Neumaier,et al.  Introduction to Numerical Analysis , 2001 .

[25]  Josep J. Masdemont,et al.  Dynamics in the center manifold of the collinear points of the restricted three body problem , 1999 .

[26]  P. W. Hawkes,et al.  Modern map methods in particle beam physics , 1999 .

[27]  M. Berz.  High‐order computation and normal form analysis of repetitive systems , 1992 .

[28]  Kenneth R. Meyer,et al.  Introduction to Hamiltonian Dynamical Systems and the N-Body Problem , 1991 .

[29]  F. Krogh,et al.  Solving Ordinary Differential Equations , 2019, Programming for Computations - Python.

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

[31]  David L. Richardson,et al.  Halo Orbit Formulation for the ISEE-3 Mission , 1979 .

[32]  Michel Henon,et al.  Numerical exploration of the restricted problem. VI. Hill's case: Non-periodic orbits. , 1970 .

[33]  R. W. Farquhar,et al.  The control and use of libration-point satellites , 1970 .

[34]  R. Broucke,et al.  Stability of periodic orbits in the elliptic restricted three-body problem. , 1969 .

[35]  E. Fehlberg.  Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta Formulas with Stepsize Control , 1968 .

[36]  M. Moutsoulas,et al.  Theory of orbits , 1968 .

[37]  R. Broucke,et al.  Periodic orbits in the restricted three body problem with earth-moon masses , 1968 .

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