E3S Web Conf.
Volume 110, 2019International Science Conference SPbWOSCE-2018 “Business Technologies for Sustainable Urban Development”
|Number of page(s)
|Energy Efficiency in the Construction
|09 August 2019
About the decision regularized equations of perturbed motion body
Moscow State University of Civil Engineering, Yaroslavskoye shosse, 26, Moscow, 129337, Russia
* Corresponding author: email@example.com
The article deals with determination of the second- and higher-order perturbations in Cartesian coordinates and body motion velocity constituents. A special perturbed motion differential equations system is constructed. The right-hand sides of this system are finite polynomials relative to an independent regularizing variable. This allows constructing a single algorithm to determine the second and higher order perturbations in the form of finite polynomials relative to some regularizing variables that are chosen at each approximation step. Following the calculations results with the use of the developed method, the coefficients of approximating polynomials representing rectangular coordinates and components of the regularized body speed were obtained. Comparison with the results of numerical integration of the equations of disturbed motion shows close agreement of the results. The developed methods make it possible to calculate, by the approximating polynomials, any intermediate point of the motion trajectory of the body.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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