caa a22 4500 445863080 CHVBK 20180317145449.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10569-011-9335-5 doi (NATIONALLICENCE)springer-10.1007/s10569-011-9335-5 Solution algorithm of a quasi-Lambert's problem with fixed flight-direction angle constraint [Elektronische Daten] [Qinqin Luo, Zhanfeng Meng, Chao Han] A two-point boundary value problem of the Kepler orbit similar to Lambert's problem is proposed. The problem is to find a Kepler orbit that will travel through the initial and final points in a specified flight time given the radial distances of the two points and the flight-direction angle at the initial point. The Kepler orbits that meet the geometric constraints are parameterized via the universal variable z introduced by Bate. The formula for flight time of the orbits is derived. The admissible interval of the universal variable and the variation pattern of the flight time are explored intensively. A numerical iteration algorithm based on the analytical results is presented to solve the problem. A large number of randomly generated examples are used to test the reliability and efficiency of the algorithm. Springer Science+Business Media B.V., 2011 Two-point boundary value problem nationallicence Quasi-Lambert's problem nationallicence Flight-direction angle nationallicence Universal Variable nationallicence Iteration algorithm nationallicence Luo Qinqin Beijing University of Aeronautics and Astronautics, Xue Yuan Road No. 37, HaiDian District, 100191, Beijing, China aut Meng Zhanfeng China Academy of Space Technology, 5142 Mail Box, 92 sub Mail Box, 100094, Beijing, China aut Han Chao Beijing University of Aeronautics and Astronautics, Xue Yuan Road No. 37, HaiDian District, 100191, Beijing, China aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/4(2011-04-01), 409-427 0923-2958 109:4<409 2011 109 10569 https://doi.org/10.1007/s10569-011-9335-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9335-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Luo Qinqin Beijing University of Aeronautics and Astronautics, Xue Yuan Road No. 37, HaiDian District, 100191, Beijing, China aut NATIONALLICENCE 700 1- Meng Zhanfeng China Academy of Space Technology, 5142 Mail Box, 92 sub Mail Box, 100094, Beijing, China aut NATIONALLICENCE 700 1- Han Chao Beijing University of Aeronautics and Astronautics, Xue Yuan Road No. 37, HaiDian District, 100191, Beijing, China aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/4(2011-04-01), 409-427 0923-2958 109:4<409 2011 109 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer