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Application of Universal Fast Trigonometric Interpolation and Extrapolation for Determining the Launch Point Coordinates of a Flight Vehicle

IF 0.7 4区 数学 Q3 MATHEMATICS, APPLIED
Computational Mathematics and Mathematical Physics Pub Date : 2024-09-01 DOI:10.1134/s0965542524700702
A. D. Chernyshov, O. Yu. Nikiforova, V. V. Goryainov, I. G. Rukin
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Abstract

The foundations of fast universal trigonometric interpolation for nonperiodic functions used to obtain high-accuracy approximate solutions are described. High-accuracy formulas are derived for computing the launch point coordinates of a flight vehicle by applying universal fast trigonometric interpolation combined with extrapolation at the endpoints of a given interval. Numerical experiments show that, after launching the first vehicle, the launch point coordinates can be determined in 7 s with accuracy of \({{10}^{{ - 17}}}\) m.

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应用通用快速三角内插法和外推法确定飞行器发射点坐标
摘要 阐述了用于获得高精度近似解的非周期性函数快速通用三角插值法的基础。通过在给定区间的端点应用通用快速三角内插法结合外推法计算飞行器的发射点坐标，得出了高精度公式。数值实验表明，在发射第一个飞行器后，可以在 7 秒内确定发射点坐标，精度为 \({{10}^{ - 17}}}\) m。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Computational Mathematics and Mathematical Physics
Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL
CiteScore
1.50
自引率
14.30%
发文量
125
审稿时长
4-8 weeks
期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.
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