Existence Of Symmetric Periodic Solutions In The Sitnikov Problem
ABSTRACT
In
this work, the existence of symmetric periodic solutions of the Sitnikov
problem was studied. Analytical solutions were obtained for the homogenous
equation. The complementary function thus obtained, confirmed the existence of
periodic solution. Further test for periodicity was carried out using the
Bendixson Criterion. Due to the high nonlinear nature of the equation,
Runge-Kutta fourth-order and Euler methods were again used to obtain an
approximate solution which was unbounded and were compared with the analytical
solution for the interval of eccentricities. Numerical simulation was obtained
using MATCAD which extend some results in literature.
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OKO, O (2022). Existence Of Symmetric Periodic Solutions In The Sitnikov Problem. Repository.mouau.edu.ng: Retrieved Apr 25, 2024, from https://repository.mouau.edu.ng/work/view/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2
OKO, OKO. "Existence Of Symmetric Periodic Solutions In The Sitnikov Problem" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 28 Nov. 2022, https://repository.mouau.edu.ng/work/view/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2. Accessed 25 Apr. 2024.
OKO, OKO. "Existence Of Symmetric Periodic Solutions In The Sitnikov Problem". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 28 Nov. 2022. Web. 25 Apr. 2024. < https://repository.mouau.edu.ng/work/view/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2 >.
OKO, OKO. "Existence Of Symmetric Periodic Solutions In The Sitnikov Problem" Repository.mouau.edu.ng (2022). Accessed 25 Apr. 2024. https://repository.mouau.edu.ng/work/view/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2