A Study about the Secular Evolution of the Hierarchical Three-body Problem Using the Numerical Integrator TIDES

Docobo, J. A.; Piccotti, Luca; Abad, Alberto; Campo, P. P.

doi:10.3847/1538-3881/abc94e

“…Otherwise, the motion can be explored by direct numerical integration. A recent review of triple-star dynamics is published by Docobo et al [57], while the book by Valtonen and Karttunen [58] is recommended for a deeper study of the three-body problem.…”

Section: Dynamical Interactionsmentioning

confidence: 99%

Architecture of Hierarchical Stellar Systems and Their Formation

Tokovinin

¹

2021

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Accumulation of new data on stellar hierarchical systems and the progress in numerical simulations of their formation open the door to genetic classification of these systems, where properties of a certain group (family) of objects are tentatively related to their formation mechanisms and early evolution. A short review of the structure and statistical trends of known stellar hierarchies is given. Like binaries, they can be formed by the disk and core fragmentation events happening sequentially or simultaneously and followed by the evolution of masses and orbits driven by continuing accretion of gas and dynamical interactions between stars. Several basic formation scenarios are proposed and associated qualitatively with the architecture of real systems, although quantitative predictions for these scenarios are still pending. The general trend of increasing orbit alignment with decreasing system size points to the critical role of the accretion-driven orbit migration, which also explains the typically comparable masses of stars belonging to the same system. The architecture of some hierarchies bears imprints of chaotic dynamical interactions. Characteristic features of each family are illustrated by several real systems.

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“…Undoubtedly, the Lunar problem is the most studied case of the TBP and future, present and past of Celestial Mechanics, in general. Lately, as a result of the Lunar problem, the Stellar TBP emerged (Docobo et al 2021) which became very relevant, especially in the first half of the twenty-first century. In this scenario, a distant third star perturbs the orbit of a binary star.…”

Section: Introductionmentioning

confidence: 99%

Long-term perturbations in four-body systems with mutual highly inclined orbits

Monzón

¹

,

Docobo

²

2023

Astrophys Space Sci

0

1

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Hierarchical Three Body systems with mutual highly inclined orbits have been well-known since the 1960s. Lidov-Kozai cycles arise within them where the inner orbit eccentricity acquires extreme values. In particular, we focus our research on the motion of exoplanets and exomoons on different Three Body stellar scenarios. Our goal is to study how the LK cycles are perturbed by a fourth body (which we called perturbed LK). We analyze the evolution of the eccentricity and inclination of the inner orbit in two cases: the first involves an exoplanet and the second involves an exomoon. Due to the possible stable configurations of a four-body system, we treat two subcases as well: the Totally Hierarchical Configuration and the 2 + 2 configuration. According to that derived from the particular scenarios of study discussed in the present research, the LK perturbed in exomoon orbits around exoplanets seem to exhibit, in general, way less alterations than the exoplanet orbit around its star.

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“…Otherwise, the motion can be explored by direct numerical integration. A recent review of triple-star dynamics is published by Docobo et al (2021), while the book by Valtonen & Karttunen (2006) is recommended for a deeper study of the three-body problem.…”

Section: Dynamical Interactionsmentioning

confidence: 99%

Architecture of Hierarchical Stellar Systems and their Formation

Tokovinin¹

2021

Preprint

0

View full text Add to dashboard Cite

Accumulation of new data on stellar hierarchical systems and the progress in numerical simulations of their formation open the door to genetic classification of these systems, where properties of a certain group (family) of objects are tentatively related to their formation mechanisms and early evolution. A short review of the structure and statistical trends of known stellar hierarchies is given. Like binaries, they can be formed by the disk and core fragmentation events happening sequentially or simultaneously and followed by the evolution of masses and orbits driven by continuing accretion of gas and dynamical interactions between stars. Several basic formation scenarios are proposed and associated qualitatively with the architecture of real systems, although quantitative predictions for these scenarios are still pending. The general trend of increasing orbit alignment with decreasing system size points to the critical role of the accretion-driven orbit migration, which also explains the typically comparable masses of stars belonging to the same system. The architecture of some hierarchies bears imprints of chaotic dynamical interactions. Characteristic features of each family are illustrated by several real systems.

show abstract

A Study about the Secular Evolution of the Hierarchical Three-body Problem Using the Numerical Integrator TIDES

Cited by 6 publications

References 89 publications

Architecture of Hierarchical Stellar Systems and Their Formation

Architecture of Hierarchical Stellar Systems and Their Formation

Long-term perturbations in four-body systems with mutual highly inclined orbits

Architecture of Hierarchical Stellar Systems and their Formation

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