A. D. Chernyshov, O. Yu. Nikiforova, V. V. Goryainov, I. G. Rukin, “Application of universal fast trigonometric interpolation and extrapolation for determining the launch point coordinates of a flight vehicle”, Zh. Vychisl. Mat. Mat. Fiz., 2024, Volume 64, Number 7,Pages <nobr>1183

This article is cited in 2 papers

Ordinary differential equations

Application of universal fast trigonometric interpolation and extrapolation for determining the launch point coordinates of a flight vehicle

A. D. Chernyshov^a, O. Yu. Nikiforova^a, V. V. Goryainov^b, I. G. Rukin^a

^a Voronezh State University of Engineering Technologies, 394000, Voronezh, Russia
^b Voronezh State Technical University, 394006, Voronezh, Russia

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.

UDC: 519.652+517.927.4

Received: 30.10.2023

DOI: 10.31857/S0044466924070063