Computational algorithm to solve two–body problem using power series in geocentric system
In this paper, a universal computational algorithm is constructed by using F and G series, which can be applied for any of conic orbit. In particular, to find the solution of the two–body problem. In this context, the solution of geocentric system motion of the Mercury planet in the solar system is...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-07-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
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| Online Access: | https://doi.org/10.2478/amns.2021.2.00300 |
| _version_ | 1797266144324747264 |
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| author | Alhowaity Sawsan |
| author_facet | Alhowaity Sawsan |
| author_sort | Alhowaity Sawsan |
| collection | DOAJ |
| description | In this paper, a universal computational algorithm is constructed by using F and G series, which can be applied for any of conic orbit. In particular, to find the solution of the two–body problem. In this context, the solution of geocentric system motion of the Mercury planet in the solar system is found using the obtained computational algorithm. |
| first_indexed | 2024-03-07T16:19:39Z |
| format | Article |
| id | doaj.art-577eb833afa84830a29ed8125c414c73 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-04-25T00:56:01Z |
| publishDate | 2023-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-577eb833afa84830a29ed8125c414c732024-03-11T10:05:45ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-07-0182394610.2478/amns.2021.2.00300Computational algorithm to solve two–body problem using power series in geocentric systemAlhowaity Sawsan0Department of Mathematics, College of Science & Humanities, Shaqra University, Shaqra15551, Saudi ArabiaIn this paper, a universal computational algorithm is constructed by using F and G series, which can be applied for any of conic orbit. In particular, to find the solution of the two–body problem. In this context, the solution of geocentric system motion of the Mercury planet in the solar system is found using the obtained computational algorithm.https://doi.org/10.2478/amns.2021.2.00300two–problemf and g seriescomputational algorithm70f05370f1070f1568w05 |
| spellingShingle | Alhowaity Sawsan Computational algorithm to solve two–body problem using power series in geocentric system Applied Mathematics and Nonlinear Sciences two–problem f and g series computational algorithm 70f05 370f10 70f15 68w05 |
| title | Computational algorithm to solve two–body problem using power series in geocentric system |
| title_full | Computational algorithm to solve two–body problem using power series in geocentric system |
| title_fullStr | Computational algorithm to solve two–body problem using power series in geocentric system |
| title_full_unstemmed | Computational algorithm to solve two–body problem using power series in geocentric system |
| title_short | Computational algorithm to solve two–body problem using power series in geocentric system |
| title_sort | computational algorithm to solve two body problem using power series in geocentric system |
| topic | two–problem f and g series computational algorithm 70f05 370f10 70f15 68w05 |
| url | https://doi.org/10.2478/amns.2021.2.00300 |
| work_keys_str_mv | AT alhowaitysawsan computationalalgorithmtosolvetwobodyproblemusingpowerseriesingeocentricsystem |