Design procedure of first-order perturbations for collisions trajectories with a perturbing body
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 a...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2019-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/64/e3sconf_catpid18_01034.pdf |
| _version_ | 1819177155347611648 |
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| author | Petelina Vera |
| author_facet | Petelina Vera |
| author_sort | Petelina Vera |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T21:22:10Z |
| format | Article |
| id | doaj.art-86ee8dd7da054f60af8e2ab74e55c8d8 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-22T21:22:10Z |
| publishDate | 2019-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-86ee8dd7da054f60af8e2ab74e55c8d82022-12-21T18:12:10ZengEDP SciencesE3S Web of Conferences2267-12422019-01-011380103410.1051/e3sconf/201913801034e3sconf_catpid18_01034Design procedure of first-order perturbations for collisions trajectories with a perturbing bodyPetelina VeraThe 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/64/e3sconf_catpid18_01034.pdf |
| spellingShingle | Petelina Vera Design procedure of first-order perturbations for collisions trajectories with a perturbing body E3S Web of Conferences |
| title | Design procedure of first-order perturbations for collisions trajectories with a perturbing body |
| title_full | Design procedure of first-order perturbations for collisions trajectories with a perturbing body |
| title_fullStr | Design procedure of first-order perturbations for collisions trajectories with a perturbing body |
| title_full_unstemmed | Design procedure of first-order perturbations for collisions trajectories with a perturbing body |
| title_short | Design procedure of first-order perturbations for collisions trajectories with a perturbing body |
| title_sort | design procedure of first order perturbations for collisions trajectories with a perturbing body |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/64/e3sconf_catpid18_01034.pdf |
| work_keys_str_mv | AT petelinavera designprocedureoffirstorderperturbationsforcollisionstrajectorieswithaperturbingbody |