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Journals
Artificial Satellites
Volume 58 (2023): Issue 1 (March 2023)
Open Access
Periodic Orbits Around the Triangular Points with Prolate Primaries
Nihad Abd El Motelp
Nihad Abd El Motelp
and
Mohamed Radwan
Mohamed Radwan
| Apr 15, 2023
Artificial Satellites
Volume 58 (2023): Issue 1 (March 2023)
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Published Online:
Apr 15, 2023
Page range:
1 - 13
Received:
May 17, 2022
Accepted:
Feb 02, 2023
DOI:
https://doi.org/10.2478/arsa-2023-0001
Keywords
restricted three-body problem
,
triangular points
,
prolate triaxial
,
periodic orbits
© 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
Figure 1.b.
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
Figure 2.b.
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
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
Figure 4.a.
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
Figure. 5.a.
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.