Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion Models
The minimum time interception problem with a tangent impulse whose direction is the same as the satellite’s velocity direction is studied based on the relative motion equations of elliptical orbits by the combination of analytical, numerical, and optimization methods. Firstly, the feasible domain of...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/6827982 |
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| _version_ | 1832566779578155008 |
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| author | Wenzhe Ding Xinhong Li Hong Yang |
| author_facet | Wenzhe Ding Xinhong Li Hong Yang |
| author_sort | Wenzhe Ding |
| collection | DOAJ |
| description | The minimum time interception problem with a tangent impulse whose direction is the same as the satellite’s velocity direction is studied based on the relative motion equations of elliptical orbits by the combination of analytical, numerical, and optimization methods. Firstly, the feasible domain of the true anomaly of the target under the fixed impulse point is given, and the interception solution is transformed into a univariate function only with respect to the target true anomaly by using the relative motion equation. On the basis of the above, the numerical solution of the function is obtained by the combination of incremental search and the false position method. Secondly, considering the initial drift when the impulse point is freely selected, the genetic algorithm-sequential quadratic programming (GA-SQP) combination optimization method is used to obtain the minimum time interception solution under the tangent impulse in a target motion cycle. Thirdly, under the high-precision orbit prediction (HPOP) model, the Nelder-Mead simplex method is used to optimize the impulse velocity and transfer time to obtain the accurate interception solution. Lastly, the effectiveness of the proposed method is verified by simulation examples. |
| format | Article |
| id | doaj-art-ad53f97e38334f338f248a189c30b2ab |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-ad53f97e38334f338f248a189c30b2ab2025-02-03T01:03:19ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742019-01-01201910.1155/2019/68279826827982Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion ModelsWenzhe Ding0Xinhong Li1Hong Yang2Graduate School, Space Engineering University, Beijing 101416, ChinaDepartment of Aerospace Science and Technology, Space Engineering University, Beijing 101416, ChinaGraduate School, Space Engineering University, Beijing 101416, ChinaThe minimum time interception problem with a tangent impulse whose direction is the same as the satellite’s velocity direction is studied based on the relative motion equations of elliptical orbits by the combination of analytical, numerical, and optimization methods. Firstly, the feasible domain of the true anomaly of the target under the fixed impulse point is given, and the interception solution is transformed into a univariate function only with respect to the target true anomaly by using the relative motion equation. On the basis of the above, the numerical solution of the function is obtained by the combination of incremental search and the false position method. Secondly, considering the initial drift when the impulse point is freely selected, the genetic algorithm-sequential quadratic programming (GA-SQP) combination optimization method is used to obtain the minimum time interception solution under the tangent impulse in a target motion cycle. Thirdly, under the high-precision orbit prediction (HPOP) model, the Nelder-Mead simplex method is used to optimize the impulse velocity and transfer time to obtain the accurate interception solution. Lastly, the effectiveness of the proposed method is verified by simulation examples.http://dx.doi.org/10.1155/2019/6827982 |
| spellingShingle | Wenzhe Ding Xinhong Li Hong Yang Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion Models International Journal of Aerospace Engineering |
| title | Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion Models |
| title_full | Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion Models |
| title_fullStr | Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion Models |
| title_full_unstemmed | Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion Models |
| title_short | Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion Models |
| title_sort | research on minimum time interception problem with a tangent impulse under relative motion models |
| url | http://dx.doi.org/10.1155/2019/6827982 |
| work_keys_str_mv | AT wenzheding researchonminimumtimeinterceptionproblemwithatangentimpulseunderrelativemotionmodels AT xinhongli researchonminimumtimeinterceptionproblemwithatangentimpulseunderrelativemotionmodels AT hongyang researchonminimumtimeinterceptionproblemwithatangentimpulseunderrelativemotionmodels |