E3S Web Conf.
Volume 138, 2019International Scientific Conference “Construction and Architecture: Theory and Practice for the Innovation Development” (CATPID-2019)
|Number of page(s)||8|
|Section||Energy and Environmental Engineering|
|Published online||16 December 2019|
Design procedure of first-order perturbations for collisions trajectories with a perturbing body
Moscow State University of Civil Engineering, 129337, Moscow, Russian Federation
* Corresponding author: firstname.lastname@example.org
The article is devoted to the determination of firstand secondorder perturbations in rectangular coordinates and velocity components of body motion. Special differential equation system of perturbed motion is constructed. The right-hand sides of this system are finitesimal polynomials in powers of an independent regularizing variate. This allows constructing a single algorithm to determine firstand second-order perturbations in the form of finitesimal polynomials in powers of regularizing variates that are chosen at each approximation step. Following the calculations results with the developed method use, the coefficients of approximating polynomials representing rectangular coordinates and components of the regularized body speed were obtained. Comparison with the numerical results of the disturbed motion equations shows their close agreement. The developed method make it possible to calculate any visa point of body motion by the approximating polynomials.
© 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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