Collision risk assessment for perturbed orbits via rigorous global optimization
暂无分享,去创建一个
A. Morselli | Roberto Armellin | P. Di Lizia | F. Bernelli Zazzera | R. Armellin | P. Lizia | F. B. Zazzera | A. Morselli
[1] E. Wnuk. Prediction of artificial satellite positions on the basis of the second order theory of motion , 2002 .
[2] Konstantin V. Kholshevnikov,et al. On the Distance Function Between Two Keplerian Elliptic Orbits , 1999 .
[3] B. Fornberg. Generation of finite difference formulas on arbitrarily spaced grids , 1988 .
[4] Martin Berz,et al. COSY INFINITY Version 9 , 2006 .
[5] Tianhe Xu,et al. Analytical solution of a satellite orbit disturbed by lunar and solar gravitation , 2011 .
[6] Martin Berz,et al. Long-term stability of the Tevatron by verified global optimization , 2006 .
[7] Martin Berz,et al. The method of power series tracking for the mathematical description of beam dynamics , 1987 .
[8] Norman Davids,et al. Table of the zeros of the Legendre polynomials of order 1-16 and the weight coefficients for Gauss’ mechanical quadrature formula , 1942 .
[9] M. Berz. High‐order computation and normal form analysis of repetitive systems , 1992 .
[10] J. J. F. Liu,et al. Advances in orbit theory for an artificial satellite with drag. , 1982 .
[11] Felix R. Hoots,et al. Reformulation of the Brouwer geopotential theory for improved computational efficiency , 1981 .
[12] F. Hoots. An analytical satellite theory using gravity and a dynamic atmosphere , 1982 .
[13] Yoshihide Kozai,et al. The motion of a close earth satellite , 1959 .
[14] Martin Berz,et al. 5. Remainder Differential Algebras and Their Applications , 1996 .
[15] P. Dybczyński,et al. On the minimum distance between two Keplerian orbits with a common focus , 1986 .
[16] T. S. No,et al. Analytical solution to perturbed geosynchronous orbit , 2005 .
[17] S. Coffey,et al. An analytical theory for tesseral gravitational harmonics , 2000 .
[18] Kyoko Makino,et al. Rigorous analysis of nonlinear motion in particle accelerators , 1998 .
[19] R. Baker Kearfott,et al. Introduction to Interval Analysis , 2009 .
[20] Dirk Brouwer,et al. Theoretical evaluation of atmospheric drag effects in the motion of an artificial satellite , 1961 .
[21] A. Griewank,et al. Automatic differentiation of algorithms : theory, implementation, and application , 1994 .
[22] H. Klinkrad,et al. Modeling of the Current Space Debris Environment , 2006 .
[23] Victor A. Brumberg,et al. Analytical Techniques of Celestial Mechanics , 1995 .
[24] T. S. Kelso,et al. Revisiting Spacetrack Report #3 , 2006 .
[25] Martin Berz,et al. Efficient Control of the Dependency Problem Based on Taylor Model Methods , 1999, Reliab. Comput..
[26] The fifth-order analytical solution of the equations of motion of a satellite in orbit around a non-spherical planet , 1995 .
[27] Kaare Aksnes,et al. On the use of the Hill variables in artificial satellite theory - Brouwer's theory. , 1972 .
[28] Dirk Brouwer,et al. SOLUTION OF THE PROBLEM OF ARTIFICIAL SATELLITE THEORY WITHOUT DRAG , 1959 .
[30] Martin Berz,et al. Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization , 2010 .
[31] P. W. Hawkes,et al. Modern map methods in particle beam physics , 1999 .
[32] Richard S. Hujsak. A restricted four-body solution for resonating satellites with an oblate Earth. , 1979 .
[33] F. A. Abd El-Salam,et al. An efficient algorithm for orbital evolution of artificial satellite , 2007, Appl. Math. Comput..
[34] Wu Chen,et al. Analytical solution of a satellite orbit disturbed by atmospheric drag , 2011 .
[35] K. Aksnes,et al. Short-period and long-period perturbations of a spherical satellite due to direct solar radiation , 1976 .
[36] H. Kinoshita. Third-order solution of an artificial-satellite theory , 1977 .
[37] M. Berz,et al. TAYLOR MODELS AND OTHER VALIDATED FUNCTIONAL INCLUSION METHODS , 2003 .
[38] K. Cranford,et al. An improved analytical drag theory for the artificial satellite problem , 1969 .
[39] R. R. Allan. On the motion of nearly synchronous satellites , 1965, Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences.
[40] W. M. Kaula,et al. Theory of Satellite Geodesy: Applications of Satellites to Geodesy , 2000 .
[41] G. E. Cook. Perturbations of satellite orbits by tesseral harmonics in the earth's gravitational potential , 1963 .
[42] Martin Berz,et al. Verified global optimization with Taylor model based range bounders , 2005 .
[43] M. Tigner,et al. Handbook of Accelerator Physics and Engineering , 2013 .
[44] Paul W. Schumacher,et al. History of Analytical Orbit Modeling in the U.S. Space Surveillance System , 2004 .
[45] Linda L. Crawford,et al. An analytic method to determine future close approaches between satellites , 1984 .
[46] N. M. Harwood,et al. Long-periodic and secular perturbations to the orbit of a spherical satellite due to direct solar radiation pressure , 1995 .
[47] K. Aksnes. A second-order artificial satellite theory based on an intermediate orbit , 1970 .
[48] D. Kessler,et al. Collision frequency of artificial satellites: The creation of a debris belt , 1978 .
[49] M.K.M. Ahmed,et al. The Effect of Direct Solar Radiation Pressure on a Spacecraft of Complex Shape , 1998 .
[50] Oliver Montenbruck,et al. Satellite Orbits: Models, Methods and Applications , 2000 .
[51] Nicholas L. Johnson,et al. History of on-orbit satellite fragmentations , 1984 .