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ZENODO
Dataset . 2026
License: CC BY
Data sources: Datacite
ZENODO
Dataset . 2026
License: CC BY
Data sources: Datacite
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The Orbital Duration/Gravitational Field-Density Equivalence

Authors: Woods, Jacob A.;

The Orbital Duration/Gravitational Field-Density Equivalence

Abstract

A new structural relation is introduced that predicts planetary orbital periods using planetary mean density, total satellitic mass, and orbital radius scaling. The relation reproduces the solar system’s planetary orbital periods within ±10 days, providing a compact and falsifiable law. An exoplanetary application indicates predictive perfor- mance beyond the Solar System. Theoretical construction, data sets, and graphical visualizations are presented, mathematically supporting the empiricism of the relation as an emergent orbital invariant.

Keywords

orbital period, orbital duration, orbital timing, orbital rhythm, orbital mechanics, celestial mechanics, planetary orbits, gravitational scaling laws, gravitational scaling law, empirical orbital law, orbital period scaling law, phenomenological gravity, phenomenological gravitation, empirical gravitation, orbital phenomenology, non-Keplerian dynamics, beyond-Keplerian mechanics, deviations from Kepler's third law, generalized Kepler laws, alternative orbital laws, alternative gravity models, modified orbital dynamics, empirical orbital mechanics, planetary density effects on orbits, density-dependent gravity, density–gravity coupling, gravitational field–density equivalence, planetary mean density, bulk density, internal mass distribution, internal planetary structure, extended-body gravity, non-point-mass gravity, finite-density effects, bulk-property gravity, effective gravitational interaction, gravitational response variables, orbital response theory, structural gravity, structural gravitation, emergent gravitational structure, emergent orbital dynamics, orbital invariants, emergent invariants, system-level orbital invariants, gravitational field structure, effective orbital theory, phenomenological field theory, mesoscopic gravity, pre-derivational physics, law-first physics, data-driven physics, empirical law discovery, hypothesis-driven empiricism, invariant-seeking methodology, falsifiable physical laws, falsifiable scaling relations, testable scaling laws, compact physical laws, minimal-parameter laws, low-parameter modeling, unit-calibrated scaling, dimensional calibration, AU-normalized scaling, heliocentric scaling laws, radial scaling relations, power-law scaling, universal exponent, system-wide exponent, exponent universality, orbital radius scaling, semi-major axis scaling, Solar System dynamics, Solar System benchmarking, comparative planetology, comparative planetary dynamics, planetary physics, planetary science, astrophysics, theoretical astrophysics, applied astrophysics, observational astronomy, astronomy research, space science, planetary data analysis, orbital data mining, astrophysical pattern recognition, orbital pattern extraction, planetary trend analysis, residual minimization, error analysis, sensitivity analysis, robustness testing, predictive accuracy, out-of-sample prediction, orbital prediction, orbital period modeling, gravitational timing relations, orbital chronometry, planetary clocks, orbital clocks, gravitational timekeeping, orbital regularities, orbital synchronization, non-resonant orbital laws, secular orbital behavior, long-term orbital stability, multi-body gravitational systems, N-body dynamics, hierarchical gravitational systems, satellite–planet interactions, satellitic mass, satellite mass coupling, moon–planet systems, planetary moons, barycentric effects, hierarchical mass coupling, planetary–satellite feedback, orbital backreaction, gravitational backreaction, embedded-body dynamics, star–planet systems, stellar system dynamics, host-star independence, stellar-mass-independent scaling, planet-centric modeling, gravitational decentralization, alternative orbital causality, structural causality, emergent causation in gravity, physics of emergence, effective theories of orbital motion, astrophysical scaling relations, universal scaling laws, conserved-like quantities, pseudo-conservation laws, timing invariants, astrophysical chronometry, large-scale temporal structure, gravitational timing hierarchy, scale-dependent gravity, radial dependence of gravity, Solar System planets, Mercury, Venus, Earth, Moon, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto, dwarf planets, satellite systems, planetary system architecture, exoplanetary systems, exoplanet orbital periods, exoplanet orbital prediction, extrasolar planets, hot Jupiters, HD 209458 b, comparative orbital analysis, cross-system prediction, empirical astrophysics, data-constrained physics, observationally anchored models, independent research, solo research, open science, reproducible phenomenology, public-domain datasets, NASA Planetary Data System, Zenodo preprint, open-access astrophysics

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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