Non-singular orbital elements for special perturbations in the two-body problem

[1]  AN ORBITAL ELEMENT FORMULATION WITHOUT SOLVING KEPLER'S EQUATION , 2008 .

[2]  P. Herget On the variation of arbitrary vectorial constants , 1962 .

[3]  Ernst Hairer,et al.  Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .

[4]  Gerald R. Hintz,et al.  Survey of Orbit Element Sets , 2008 .

[5]  M. Sharaf,et al.  Motion of artificial satellites in the set of Eulerian redundant parameters (III) , 1992 .

[6]  G. Janin,et al.  Accurate integration of geostationary orbits with Burdet's focal elements , 1975 .

[7]  T. Fukushima New Two-Body Regularization , 2006 .

[8]  A. C. Long,et al.  Calculation of precision satellite orbits with nonsingular elements (VOP formulation). , 1974 .

[9]  Guy Janin Accurate computation of highly eccentric satellite orbits , 1974 .

[10]  E. Whittaker A Treatise on the Analytical Dynamics of Particles and Rigid Bodies; With an Introduction to the Problem of Three Bodies , 2012 .

[11]  T. Fukushima Efficient Integration of Highly Eccentric Orbits by Scaling Methods Applied to Kustaanheimo-Stiefel Regularization , 2004 .

[12]  EFFICIENT INTEGRATION OF HIGHLY ECCENTRIC ORBITS BY QUADRUPLE SCALING FOR KUSTAANHEIMO-STIEFEL REGULARIZATION , 2004 .

[13]  A. Deprit Ideal elements for perturbed Keplerian motions , 1975 .

[14]  B. G. Marsden,et al.  The Minor Planet Center , 1980 .

[15]  C. Burdet Theory of Kepler motion: the general perturbed two body problem , 1968 .

[16]  J. Peláez,et al.  A new set of integrals of motion to propagate the perturbed two-body problem , 2013 .

[17]  S. Herrick Icarus and the variation of parameters , 1953 .

[18]  Xiaofeng Wang,et al.  OPTICAL AND ULTRAVIOLET OBSERVATIONS OF THE NARROW-LINED TYPE Ia SN 2012fr IN NGC 1365 , 2014, 1403.0398.

[19]  Toshio Fukushima,et al.  Long-Term Integration Error of Kustaanheimo-Stiefel Regularized Orbital Motion , 2000 .

[20]  Pini Gurfil,et al.  Euler Parameters as Nonsingular Orbital Elements in Near-Equatorial Orbits , 2005 .

[21]  Oliver Montenbruck,et al.  Satellite Orbits: Models, Methods and Applications , 2000 .

[22]  Peter Musen,et al.  The Influence of the Solar Radiation Pressure on the Motion of an Artificial Satellite , 1960 .

[23]  M. Vitins Keplerian motion and gyration , 1978 .

[24]  José M. Ferrándiz,et al.  Long-Time Predictions of Satellite Orbits by Numerical Integration , 1991 .

[25]  Daniel J. Scheeres,et al.  On the Milankovitch orbital elements for perturbed Keplerian motion , 2014 .

[26]  E. W. Brown An Introductory Treatise on the Lunar Theory , 2007, Nature.

[27]  E. Stiefel Linear And Regular Celestial Mechanics , 1971 .

[28]  A. Garofalo New set of variables for astronomical problems , 1960 .

[29]  C. J. Cohen,et al.  A nonsingular set of orbit elements , 1962 .

[30]  J. Dormand,et al.  A family of embedded Runge-Kutta formulae , 1980 .

[31]  A. Milani,et al.  Theory of Orbit Determination , 2009 .

[32]  D. Hestenes Celestial mechanics with geometric algebra , 1983 .

[33]  P. Henrici Discrete Variable Methods in Ordinary Differential Equations , 1962 .

[34]  E. Stiefel,et al.  Perturbation theory of Kepler motion based on spinor regularization. , 1965 .

[35]  Roberto Barrio,et al.  Performance of perturbation methods on orbit prediction , 2008, Math. Comput. Model..

[36]  S. Pines Variation of parameters for elliptic and near circular orbits , 1961 .

[37]  J. M. Hedo,et al.  A special perturbation method in orbital dynamics , 2007 .

[38]  J. Baumgarte,et al.  Numerical stabilization of the differential equations of Keplerian motion , 1972 .

[39]  R. Broucke,et al.  On the equinoctial orbit elements , 1972 .

[40]  Victor R. Bond,et al.  Modern Astrodynamics: Fundamentals and Perturbation Methods , 1996 .

[41]  T. Fukushima Numerical Comparison of Two-Body Regularizations , 2007 .

[42]  V. Bond The uniform, regular differential equations of the KS transformed perturbed two-body problem , 1974 .

[43]  S. Dallas,et al.  A comparison of Cowell's method and a variation-of-parameters method for the computation of precision satellite orbits , 1971 .

[44]  J. Ferrándiz,et al.  A general canonical transformation increasing the number of variables with application to the two-body problem , 1987 .

[45]  P. Musen On the long‐period lunar and solar effects on the motion of an artificial satellite: 2. , 1961 .

[46]  P. Musen Special perturbations of the vectorial elements , 1954 .

[47]  C. Burdet Regularization of the two body problem , 1967 .

[48]  A. Deprit Ideal frames for perturbed Keplerian motions , 1976 .