Triangular Libration Points in the CR3BP with Radiation, Triaxiality and Potential from a Belt

Singh, Jagadish; Taura, Joel John

doi:10.1007/s12591-015-0243-0

Cited by 2 publications

(2 citation statements)

References 35 publications

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“…The importance of the problem in astronomy has been addressed by Yeh (2004, 2006), where it was shown that the presence of disk resulted in additional equilibrium points of the system. Other works that took into account the gravitational potential from the belt/disk under different assumptions include Singh and Taura (2013, 2015, 2017 and Jiang and Yeh (2014). This image shows a dramatic scorched extrasolar planet HD 209458b in its orbit around a yellow Sun-like star.…”

Section:  mentioning

confidence: 99%

Derivation of the Dynamical Equations of Motion of the R3bp With Variable Masses and Disk

Taura

Leke²

2022

FJS

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This paper explores the dynamical equations of the restricted three-body problem with variable masses of the primaries which are enclosed by a disk, when the masses of the primary and the disk vary with time in accordance with the unified Mestschersky law and motion of the primaries is determined by the Gylden-Mestschersky equation. It is seen that the equations of motion differ from those of the restricted three-body problem with variable masses due to the disk mass

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Section:  mentioning

confidence: 99%

Derivation of the Dynamical Equations of Motion of the R3bp With Variable Masses and Disk

Taura

Leke²

2022

FJS

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“…He called the CR3BP, photogravitational when one or both of the masses of the primaries were discharges of radiation. Researchers [6]- [10] have examined the existence of libration points and their linear stability in the photogravitational CR3BP. [11] [12] studied a modified CR3BP by considering the influence from a belt (circular cluster of material points) for planetary systems and found that the likelihood to get libration points around the inner part of the belt was greater than the one nigh the outer part.…”

Section: Introductionmentioning

confidence: 99%

Collinear Libration Points in the Photogravitational CR3BP with Zonal Harmonics and Potential from a Belt

Singh¹,

Taura²

2015

IJAA

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We have studied a reformed type of the classic restricted three-body problem where the bigger primary is radiating and the smaller primary is oblate; and they are encompassed by a homogeneous circular cluster of material points centered at the mass center of the system (belt). In this dynamical model, we have derived the equations that govern the motion of the infinitesimal mass under the effects of oblateness up to the zonal harmonics J 4 of the smaller primary, radiation of the bigger primary and the gravitational potential generated by the belt. Numerically, we have found that, in addition to the three collinear libration points L i (i = 1, 2, 3) in the classic restricted three-body problem, there appear four more collinear points L ni (i = 1, 2, 3, 4). L n1 and L n2 result due to the potential from the belt, while L n3 and L n4 are consequences of the oblateness up to the zonal harmonics J 4 of the smaller primary. Owing to the mutual effect of all the perturbations, L 1 and L 3 come nearer to the primaries while L n3 advances away from the primaries; and L 2 and L n1 tend towards the smaller primary whereas L n2 and L n4 draw closer to the bigger primary. The collinear libration points L i (i = 1, 2, 3) and L n2 are linearly unstable whereas the L n1 , L n3 and L n4 are linearly stable. A practical application of this model could be the study of motion of a dust particle near a radiating star and an oblate body surrounded by a belt.

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Triangular Libration Points in the CR3BP with Radiation, Triaxiality and Potential from a Belt

Cited by 2 publications

References 35 publications

Derivation of the Dynamical Equations of Motion of the R3bp With Variable Masses and Disk

Derivation of the Dynamical Equations of Motion of the R3bp With Variable Masses and Disk

Collinear Libration Points in the Photogravitational CR3BP with Zonal Harmonics and Potential from a Belt

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