2022
DOI: 10.1093/mnras/stac166
|View full text |Cite
|
Sign up to set email alerts
|

Machine-learning prediction for mean motion resonance behaviour – The planar case

Abstract: Most recently, machine learning has been used to study the dynamics of integrable Hamiltonian systems and the chaotic 3-body problem. In this work, we consider an intermediate case of regular motion in a non-integrable system: the behaviour of objects in the 2:3 mean motion resonance with Neptune. We show that, given initial data from a short 6250 yr numerical integration, the best-trained artificial neural network (ANN) can predict the trajectories of the 2:3 resonators over the subsequent 18750 yr evolution,… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2022
2022
2025
2025

Publication Types

Select...
7

Relationship

0
7

Authors

Journals

citations
Cited by 8 publications
(2 citation statements)
references
References 41 publications
0
2
0
Order By: Relevance
“…Among them, ω is called the adjustable weight vector, b is the offset value, and ω, ϕ[Z(X)] are the n dimension vector, and to find the optimal classification hyperplane, that is, to find the optimal ω and b due to the existence of the fitting error [17], introduce ξ and ξ * as a relaxation variable, and use the ε-SVR model to establish the following model optimization function with constraints:…”
Section: Establishment Of Debris Flow Early Warning Modelmentioning
confidence: 99%
“…Among them, ω is called the adjustable weight vector, b is the offset value, and ω, ϕ[Z(X)] are the n dimension vector, and to find the optimal classification hyperplane, that is, to find the optimal ω and b due to the existence of the fitting error [17], introduce ξ and ξ * as a relaxation variable, and use the ε-SVR model to establish the following model optimization function with constraints:…”
Section: Establishment Of Debris Flow Early Warning Modelmentioning
confidence: 99%
“…The Random Forest method is very robust in processing the spectro-phohtometry data as the tool for detachment of various features of exoplanet light curves [22], exoplanetary atmospheres [9,25], exoplanet prediction [39] and resonant Koiper Belt objects search [19,20]. We deeply exploited it for galaxy morphological classification [15,37].…”
Section: Random Forestmentioning
confidence: 99%