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Comparing the behavior of orbits in different 3D dynamical models for elliptical galaxies

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Euaggelos E. Zotos

Astrophysics of Galaxies · Submitted 30 Mar 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our results show that one may use different kinds of gravitational potentials in order to describe the motion in triaxial galaxies while obtaining quantitatively similar results.

how it is stated · hedged possibility 0.88 read the record →

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arXiv ID1204.0040 (version 1)
Pith ID7OLCBWBL, Pith's permanent record of this paper and its review
CitationEuaggelos E. Zotos. "Comparing the behavior of orbits in different 3D dynamical models for elliptical galaxies." arXiv:1204.0040 (2012). https://pith.science/paper/7OLCBWBL
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,354 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.14 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.63 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We study the behavior of orbits in two different galactic dynamical models, describing the motion in the central parts of a triaxial elliptical galaxy with a dense nucleus. Numerical experiments show that both models display regular motion together with extended chaotic regions. A detailed investigation of the properties of motion is made for the 2D and 3D Hamiltonian systems, using a number of different dynamical parameters, such as the Poincare surface of section, the maximal Lyapunov Characteristic Exponent, the S(c) spectrum, the S(w) spectrum and the P(f) indicator. The numerical calculations suggest that the properties of motion in both potentials are very similar. Our results show that one may use different kinds of gravitational potentials in order to describe the motion in triaxial galaxies while obtaining quantitatively similar results.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We study the behavior of orbits in two different galactic dynamical models, describing the motion in the central parts of a triaxial elliptical galaxy with a dense nucleus. contribution 0.97 0.89 0.03 asserted 0.89
s1 Numerical experiments show that both models display regular motion together with extended chaotic regions. result 1.00 0.94 0.07 asserted 1.00
s2 A detailed investigation of the properties of motion is made for the 2D and 3D Hamiltonian systems, using a number of different dynamical parameters, such as the Poincare surface of section, the maximal Lyapunov Characteristic Exponent, the S(c) spectrum, the S(w) spectrum and the P(f) indicator. method 0.99 0.93 0.03 asserted 0.97
s3 The numerical calculations suggest that the properties of motion in both potentials are very similar. result 0.97 0.93 0.31 hedged possibility 0.99
s4 Our results show that one may use different kinds of gravitational potentials in order to describe the motion in triaxial galaxies while obtaining quantitatively similar results. interpretation 0.95 0.90 0.90 hedged possibility 0.88

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We study the behavior of orbits in two different galactic dynamical models, describing the motion in the central parts of a triaxial elliptical galaxy with a dense nucleus. Numerical experiments show that both models display regular motion together with extended chaotic regions. A detailed investigation of the properties of motion is made for the 2D and 3D Hamiltonian systems, using a number of different dynamical parameters, such as the Poincare surface of section, the maximal Lyapunov Characteristic Exponent, the S(c) spectrum, the S(w) spectrum and the P(f) indicator. The numerical calculations suggest that the properties of motion in both potentials are very similar. Our results show that one may use different kinds of gravitational potentials in order to describe the motion in triaxial galaxies while obtaining quantitatively similar results.

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