The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections
The existence and stability of noncollinear equilibrium points in the elliptic restricted three-body problem under the consideration of Yukawa correction to Newtonian potential are studied in this paper. The effects of various parameters (μ, ê, α, and λ) on the noncollinear equilibrium points are di...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2023/7118712 |
| _version_ | 1797766884801642496 |
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| author | E. Baby Anitha Tenaw Tilahun Asmamaw M. Javed Idrisi |
| author_facet | E. Baby Anitha Tenaw Tilahun Asmamaw M. Javed Idrisi |
| author_sort | E. Baby Anitha |
| collection | DOAJ |
| description | The existence and stability of noncollinear equilibrium points in the elliptic restricted three-body problem under the consideration of Yukawa correction to Newtonian potential are studied in this paper. The effects of various parameters (μ, ê, α, and λ) on the noncollinear equilibrium points are discussed briefly, and it is found that only ordinate of noncollinear equilibria E4,5 is affected by Yukawa correction while abscissa is affected by only mass parameter μ. The noncollinear equilibria was found linearly stable for a critical mass parameter μc. A critical point λ = ½ is also obtained for the critical mass parameter μc, and at this point, the critical mass parameter μc has maximum or minimum values according to α < 0 or α > 0, respectively. |
| first_indexed | 2024-03-12T20:31:44Z |
| format | Article |
| id | doaj.art-dd9028684a4c4920b62116e28a8e4231 |
| institution | Directory Open Access Journal |
| issn | 1687-7977 |
| language | English |
| last_indexed | 2024-03-12T20:31:44Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Advances in Astronomy |
| spelling | doaj.art-dd9028684a4c4920b62116e28a8e42312023-08-02T00:00:02ZengHindawi LimitedAdvances in Astronomy1687-79772023-01-01202310.1155/2023/7118712The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like CorrectionsE. Baby Anitha0Tenaw Tilahun Asmamaw1M. Javed Idrisi2Department of CSEDepartment of MathematicsDepartment of MathematicsThe existence and stability of noncollinear equilibrium points in the elliptic restricted three-body problem under the consideration of Yukawa correction to Newtonian potential are studied in this paper. The effects of various parameters (μ, ê, α, and λ) on the noncollinear equilibrium points are discussed briefly, and it is found that only ordinate of noncollinear equilibria E4,5 is affected by Yukawa correction while abscissa is affected by only mass parameter μ. The noncollinear equilibria was found linearly stable for a critical mass parameter μc. A critical point λ = ½ is also obtained for the critical mass parameter μc, and at this point, the critical mass parameter μc has maximum or minimum values according to α < 0 or α > 0, respectively.http://dx.doi.org/10.1155/2023/7118712 |
| spellingShingle | E. Baby Anitha Tenaw Tilahun Asmamaw M. Javed Idrisi The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections Advances in Astronomy |
| title | The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections |
| title_full | The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections |
| title_fullStr | The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections |
| title_full_unstemmed | The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections |
| title_short | The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections |
| title_sort | predictions of noncollinear equilibria positions in er3bp with yukawa like corrections |
| url | http://dx.doi.org/10.1155/2023/7118712 |
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