Miss analysis in Lambert interceptions with application to a new guidance law

Author:

Park Joonhyung1,Rhinehart Richard G.1,Kabamba Pierre T.1

Affiliation:

1. Department of Aerospace Engineering, The University of Michigan, Ann Arbor 48109-2140, MI, USA

Abstract

For an interceptor that follows a Keplerian trajectory, we have obtained a closed-form linear expression for the miss distance in terms of the perturbations of the booster cut-off conditions, where the miss distance reflects the predicted miss at the Point of Closest Approach (PCA) between the interceptor and the target. We use this analysis result to develop a new guidance law which, in the absence of gravity, ensures (1) that the magnitude of the predicted PCA miss decays exponentially, and (2) that the magnitude of the relative velocity is constant. The same guidance law has been applied to interceptors flying in a gravity field. In the presence of random navigation errors in the new guidance law, the numerically simulated results show that increasing the guidance law gain increases the rms of the predicted PCA miss, which results in a degradation of the interception performance. A trade-off in gain magnitude is required to prevent this degradation.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Tangent-Impulse Interception for a Hyperbolic Target;Mathematical Problems in Engineering;2014

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