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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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Eigenfield_Analysis_of_Multi_Body_Gravitational_Saddle_Points_A_Pedagogical_Treatment

Authors: Facer, Rob;

Eigenfield_Analysis_of_Multi_Body_Gravitational_Saddle_Points_A_Pedagogical_Treatment

Abstract

This paper develops a tidal tensor eigenfield framework for analysing gravitational saddle points in multi-body systems. It derives analytical eigenvalue solutions for two-body and three-body configurations, demonstrates a mechanism for spontaneous angular momentum generation through eigenvector precession, and introduces observer-dependent diagnostics for tidal coherence. The framework generates testable predictions connecting planetary alignment geometry to tidal field intensity. Critical review and feedback are welcome.

Keywords

Physics, Physics/methods, Theoretical physics

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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