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- W1982409226 abstract "Purpose To study the application of three‐dimensional differential geometric (DG) guidance commands to a realistic missile defense engagement, and the application of the Newton's iterative algorithm to DG guidance problems. Design/methodology/approach The classical differential geometry theory is introduced firstly to transform all the variables in DG guidance commands from an arc length system to the time domain. Then, an algorithm for the angle‐of‐attack and the sideslip angle is developed by assuming the guidance curvature command and guidance torsion command equal to its corresponding value of current trajectory. Furthermore, Newton's iteration is utilized to develop iterative solution of the stated algorithm and the two‐dimensional DG guidance system so as to facilitate easy computation of the angle‐of‐attack and the sideslip angle, which are formulated to satisfy the DG guidance law. Findings DG guidance law is viable and effective in the realistic missile defense engagement, and it is shown to be a generalization of gain‐varying proportional navigation (PN) guidance law and performs better than the classical PN guidance law in the case of intercepting a maneuvering target. Moreover, Newton's iterative algorithm has sufficient accuracy for DG guidance problem. Originality/value Provides further study on DG guidance problem associated with its iterative solution." @default.
- W1982409226 created "2016-06-24" @default.
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- W1982409226 date "2006-09-01" @default.
- W1982409226 modified "2023-09-25" @default.
- W1982409226 title "Iterative solution to differential geometric guidance problem" @default.
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- W1982409226 doi "https://doi.org/10.1108/00022660610685800" @default.
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