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Periodic Orbits Around the Triangular Points with Prolate Primaries

Nihad Abd El Motelp
Nihad Abd El Motelp
 e 
Mohamed Radwan
Mohamed Radwan
   | 15 apr 2023
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Pubblicato online: 15 apr 2023
Pagine: 1 - 13
Ricevuto: 17 mag 2022
Accettato: 02 feb 2023
DOI: https://doi.org/10.2478/arsa-2023-0001
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© 2023 Nihad Abd El Motelp et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1.a.

The variation of short-period frequency versus mass parameter μ for different values of the plorate triaxiality
The variation of short-period frequency versus mass parameter μ for different values of the plorate triaxiality

Figure 1.b.

The variation of long-period frequency versus mass parameter μ for different values of the plorate triaxiality parameter
The variation of long-period frequency versus mass parameter μ for different values of the plorate triaxiality parameter

Figure 2.a.

Eccentricity effect on the short-period frequency
Eccentricity effect on the short-period frequency

Figure 2.b.

Eccentricity effect on the long-period frequency
Eccentricity effect on the long-period frequency

Figure 3.a.

The variations of s2 versus mass parameter μ for different values of semi-major axis (a = 0.90, 0.95, 0.99), with fixed values of Aσ = −0.004, Aγ = −0.006, and e = 0.06
The variations of s2 versus mass parameter μ for different values of semi-major axis (a = 0.90, 0.95, 0.99), with fixed values of Aσ = −0.004, Aγ = −0.006, and e = 0.06

Figure 3.b.

The variations of s1 versus the mass parameter μ for different values of the semimajor axis (a = 0.90, 0.95, 0.99), with fixed plorateness triaxiality coefficients Aγ = −0.006, Aσ = −0.004, and e = 0.06
The variations of s1 versus the mass parameter μ for different values of the semimajor axis (a = 0.90, 0.95, 0.99), with fixed plorateness triaxiality coefficients Aγ = −0.006, Aσ = −0.004, and e = 0.06

Figure 4.a.

Comparing the long-period frequency for some selected cases with the classical case
Comparing the long-period frequency for some selected cases with the classical case

Figure 4.b.

Comparing the short-period frequency for some selected cases with the classical case
Comparing the short-period frequency for some selected cases with the classical case

Figure. 5.a.

Comparing the eccentricity of long period motion in the classical with a selected perturbed case.
Comparing the eccentricity of long period motion in the classical with a selected perturbed case.

Figure 5.b.

Comparing the eccentricity of short-period motion in the classical with a selected perturbed case.
Comparing the eccentricity of short-period motion in the classical with a selected perturbed case.
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