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.
Fields of Study & Subjects
Relativity and Gravitational Theory
Stellar
planetary
and galactic studies
Cosmology and Gravitation Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 February 2026
- Language
- EN
- Document type
- Preprint