Existence Of Symmetric Periodic Solutions In The Sitnikov Problem

OKO | 69 pages (12374 words) | Theses
Mathematics | Co Authors: TOOCHUKWU OGBONNIA

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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APA

OKO, O (2022). Existence Of Symmetric Periodic Solutions In The Sitnikov Problem. Repository.mouau.edu.ng: Retrieved Jan 26, 2023, from https://repository.mouau.edu.ng/work/view/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2

MLA 8th

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 26 Jan. 2023.

MLA7

OKO, OKO. "Existence Of Symmetric Periodic Solutions In The Sitnikov Problem". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 28 Nov. 2022. Web. 26 Jan. 2023. < https://repository.mouau.edu.ng/work/view/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2 >.

Chicago

OKO, OKO. "Existence Of Symmetric Periodic Solutions In The Sitnikov Problem" Repository.mouau.edu.ng (2022). Accessed 26 Jan. 2023. https://repository.mouau.edu.ng/work/view/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2

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