Fifth order solution of halo orbits via Lindstedt–Poincaré technique and differential correction method
| Autor: | Elbaz I. Abouelmagd, Vineet K. Srivastava, V. O. Thomas, Dhwani Sheth |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
010308 nuclear & particles physics Mathematical analysis Order (ring theory) Differential correction Astronomy and Astrophysics 01 natural sciences symbols.namesake Fourth order Radiation pressure Space and Planetary Science Physics::Space Physics 0103 physical sciences Poincaré conjecture symbols Astrophysics::Earth and Planetary Astrophysics Frame work Halo 010303 astronomy & astrophysics Instrumentation |
| Zdroj: | New Astronomy. 87:101585 |
| ISSN: | 1384-1076 |
| Popis: | In the frame work of the perturbed restricted three-body problem, the solutions of halo orbits are developed up to fifth order approximation by using Lindstedt–Poincare technique. The effect of oblateness of the more massive primary on the size, location and period of halo orbits around L 1 and L 2 are studied by considering the Earth–Moon system. Due to oblateness of the Earth, halo orbits around L 1 and L 2 enlarge and move towards the Moon. Also, the period of halo orbits around L 1 and L 2 decreases. Numerical solution for halo orbits around L 1 and L 2 in the Sun–Earth system is obtained by using the differential correction method for different values of radiation pressure and oblateness. The separation between the orbits obtained using fourth and fifth order Lindstedt–Poincare method as well as differential correction method is found to be less than the separation between the orbits obtained using third and fourth order Lindstedt–Paincare as well as differential correction method. This indicates that as the order of the solution increases the separation between consecutive solution decreases leading to more accurate solution. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect