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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Dynamical Degeneracy of Relativistic Orbital Observables

Authors: Nekludoff, Alexey A.;

Dynamical Degeneracy of Relativistic Orbital Observables

Abstract

Dynamical Degeneracy of Relativistic Orbital Observables This work investigates the uniqueness of dynamical reconstruction from relativistic orbital observables using direct numerical experiments on Mercury perihelion precession. Several dynamically non-equivalent orbital models are constructed and calibrated to reproduce nearly identical relativistic-scale perihelion advance while exhibiting measurable differences in local temporal structure, orbital timing, phase-space evolution, Fourier composition, and sector traversal dynamics. The results demonstrate that agreement with a single integrated observable does not uniquely determine the underlying dynamics. Distinct orbital evolutions may generate observationally equivalent secular effects while remaining distinguishable through local diagnostics. The work introduces the concepts of dynamical non-equivalence, reconstruction dependence, and geometric versus reconstruction uniqueness, and discusses the informational content of geometric reconstruction in orbital mechanics. No claim is made regarding inconsistencies of General Relativity or the construction of an alternative theory of gravity. The study is methodological in nature and focuses on the non-uniqueness of inverse dynamical reconstruction from integrated observables. Source code and numerical experiments are included to ensure full reproducibility.

Keywords

General Relativity, epistemology of physical models, perihelion precession, inverse problems, geodesic reconstruction, reconstruction degeneracy, orbital observables, celestial mechanics, dynamical non-equivalence, orbital dynamics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green