Basins of Convergence in a Multi-Perturbed CR3BP
The circular restricted three-body problem (CR3BP) is analyzed to introduce additional factors into the dynamic model, such as radiation forces, flattening of the primary bodies, relativity effects, and the presence of natural satellites. The introduction of these factors increases the accuracy when...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-12-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/15/1/106 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841549455666446336 |
|---|---|
| author | Alicia Herrero Santiago Moll-Lopez José-A. Moraño Erika Vega-Fleitas Daniel Villalibre |
| author_facet | Alicia Herrero Santiago Moll-Lopez José-A. Moraño Erika Vega-Fleitas Daniel Villalibre |
| author_sort | Alicia Herrero |
| collection | DOAJ |
| description | The circular restricted three-body problem (CR3BP) is analyzed to introduce additional factors into the dynamic model, such as radiation forces, flattening of the primary bodies, relativity effects, and the presence of natural satellites. The introduction of these factors increases the accuracy when obtaining the position of the Lagrange points and the basins of convergence of the system. The Newton–Raphson methodis used to implement a searching algorithm. Finally, an application to the Sun–Mars system including the presence of Phobos and Deimos is developed. |
| format | Article |
| id | doaj-art-8b10c51428eb40d7be5147de316ca5a9 |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-8b10c51428eb40d7be5147de316ca5a92025-01-10T13:14:27ZengMDPI AGApplied Sciences2076-34172024-12-0115110610.3390/app15010106Basins of Convergence in a Multi-Perturbed CR3BPAlicia Herrero0Santiago Moll-Lopez1José-A. Moraño2Erika Vega-Fleitas3Daniel Villalibre4Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, SpainDepartamento de Matemática Aplicada, Universitat Politècnica de València, 46022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, SpainInstituto de Diseño y Fabricación, Universitat Politècnica de València, 46022 Valencia, SpainDepartamento de Matemática Aplicada, Universitat Politècnica de València, 46022 Valencia, SpainThe circular restricted three-body problem (CR3BP) is analyzed to introduce additional factors into the dynamic model, such as radiation forces, flattening of the primary bodies, relativity effects, and the presence of natural satellites. The introduction of these factors increases the accuracy when obtaining the position of the Lagrange points and the basins of convergence of the system. The Newton–Raphson methodis used to implement a searching algorithm. Finally, an application to the Sun–Mars system including the presence of Phobos and Deimos is developed.https://www.mdpi.com/2076-3417/15/1/106modified circular restricted three-body problemLagrange pointsbasins of convergenceNewton–Raphson methodradiation effectsrelativistic effects |
| spellingShingle | Alicia Herrero Santiago Moll-Lopez José-A. Moraño Erika Vega-Fleitas Daniel Villalibre Basins of Convergence in a Multi-Perturbed CR3BP Applied Sciences modified circular restricted three-body problem Lagrange points basins of convergence Newton–Raphson method radiation effects relativistic effects |
| title | Basins of Convergence in a Multi-Perturbed CR3BP |
| title_full | Basins of Convergence in a Multi-Perturbed CR3BP |
| title_fullStr | Basins of Convergence in a Multi-Perturbed CR3BP |
| title_full_unstemmed | Basins of Convergence in a Multi-Perturbed CR3BP |
| title_short | Basins of Convergence in a Multi-Perturbed CR3BP |
| title_sort | basins of convergence in a multi perturbed cr3bp |
| topic | modified circular restricted three-body problem Lagrange points basins of convergence Newton–Raphson method radiation effects relativistic effects |
| url | https://www.mdpi.com/2076-3417/15/1/106 |
| work_keys_str_mv | AT aliciaherrero basinsofconvergenceinamultiperturbedcr3bp AT santiagomolllopez basinsofconvergenceinamultiperturbedcr3bp AT joseamorano basinsofconvergenceinamultiperturbedcr3bp AT erikavegafleitas basinsofconvergenceinamultiperturbedcr3bp AT danielvillalibre basinsofconvergenceinamultiperturbedcr3bp |