Minimum-Time Interception with a Tangent Impulse

Zhang, Gang; Wang, Dongzhe; Cao, Xi‐Ren; Ma, Guangfu

doi:10.1061/(asce)as.1943-5525.0000390

Cited by 9 publications

(3 citation statements)

References 18 publications

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“…For the tangent impulse interception problem of space targets, it is necessary to judge the existence of the interception solution of the satellite firstly at the impulse moment and give the feasible domain of the solution. In this regard, a detailed proof has been given in the literature [9,10]. According to the conclusion in the literature [10], for the shooting point P 1 in Figure 1, there is a solution only when the interception point is located at S 1 P 2 S 2 .…”

Section: Existence Condition Of Tangent Impulse Interception Solutionmentioning

confidence: 85%

“…In this regard, a detailed proof has been given in the literature [9,10]. According to the conclusion in the literature [10], for the shooting point P 1 in Figure 1, there is a solution only when the interception point is located at S 1 P 2 S 2 .…”

Section: Existence Condition Of Tangent Impulse Interception Solutionmentioning

confidence: 85%

“…In 2012, Zhang et al obtained the conditions for the existence of transfer solutions for three types of tangent orbits by using the relationship between the orbital semilatus rectum and the flight direction angle [9]. At the same time, the tangent impulse intercept problem with the minimum time when the target orbit is an ellipse is also studied [10]. Wang et al studied this when the orbit was hyperbolic [11].…”

Section: Introductionmentioning

confidence: 99%

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Research on Minimum Time Interception Problem with a Tangent Impulse under Relative Motion Models

Ding

Yang

2019

International Journal of Aerospace Engineering

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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.

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Section: Existence Condition Of Tangent Impulse Interception Solutionmentioning

confidence: 85%