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Tangent-Impulse Interception for a Hyperbolic Target
Joint Authors
Wang, Dongzhe
Zhang, Gang
Cao, Xibin
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The two-body interception problem with an upper-bounded tangent impulse for the interceptor on an elliptic parking orbit to collide with a nonmaneuvering target on a hyperbolic orbit is studied.
Firstly, four special initial true anomalies whose velocity vectors are parallel to either of the lines of asymptotes for the target hyperbolic orbit are obtained by using Newton-Raphson method.
For different impulse points, the solution-existence ranges of the target true anomaly for any conic transfer are discussed in detail.
Then, the time-of-flight equation is solved by the secant method for a single-variable piecewise function about the target true anomaly.
Considering the sphere of influence of the Earth and the upper bound on the fuel, all feasible solutions are obtained for different impulse points.
Finally, a numerical example is provided to apply the proposed technique for all feasible solutions and the global minimum-time solution with initial coasting time.
American Psychological Association (APA)
Wang, Dongzhe& Zhang, Gang& Cao, Xibin. 2014. Tangent-Impulse Interception for a Hyperbolic Target. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-502158
Modern Language Association (MLA)
Wang, Dongzhe…[et al.]. Tangent-Impulse Interception for a Hyperbolic Target. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-502158
American Medical Association (AMA)
Wang, Dongzhe& Zhang, Gang& Cao, Xibin. Tangent-Impulse Interception for a Hyperbolic Target. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-502158
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502158