Periodic orbits around the triangular points with prolate primaries

• Autorzy: Abd El Motelp Nihad , Radwan Mohamed

Identyfikatory

DOI

10.2478/arsa-2023-0001

• Języki publikacji: EN

Abstrakty

EN

Periodic orbits play a fundamental role in the study and deep understanding of the behavior of dynamical systems. In the current work, we investigated the periodic orbits around the triangular libration points of the restricted three-body problem. The equations of motion of the restricted problem are presented when both primaries are prolate triaxial. Periodic orbits around the triangular points are obtained and then illustrated graphically for some selected initial conditions and for the entire domain of the mass ratio µ, as well. The eccentricities of the periodic orbits are obtained and then represented graphically. It is observed that the periodic orbits about the triangular stationary points are elliptical, and the frequencies of short and long orbits of the periodic motion are influenced by the shape of the primary bodies. Furthermore, we found that the perturbing forces influence the period, the orientation, and the eccentricities of the short and long periodic orbits.

Słowa kluczowe

EN

restricted three-body problem; triangular points; prolate triaxial; periodic orbits

• Wydawca: Centrum Badań Kosmicznych PAN ; De Gruyter
• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2023
• Tom: Vol. 58, No. 1
• Strony: 1--13
• Opis fizyczny: Bibliogr. 22 poz., wykr.

Twórcy

autor

Abd El Motelp Nihad

• Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt

autor

Radwan Mohamed

• Astronomy and Space Science Department, Faculty of Science, Cairo University, Egypt

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).