Analysis of Inner Planet Orbital Azimuth Drift

The residual perihelion precession of Mercury of 43 arcseconds per century has long been regarded as core observational evidence for spacetime curvature in general relativity. By reviewing historical planetary perturbation calculations and numerical simulation workflows, this residual difference is not an inherent defect within the framework of Newtonian mechanics. Analytical theories by Le Verrier and Newcomb adopted mathematical treatment of full orbital period time averaging, which smoothed out transient strong torques arising from close planetary encounters. Early N body numerical simulations from the 1980s used a fixed 5 day time step, leading to insufficient sampling of short duration strong gravitational pulses and producing implicit numerical averaging effects. Modern DE series ephemerides embed post Newtonian relativistic corrections directly and fit parameters against observational data, creating circular reasoning and making it impossible to obtain genuine perturbation results under a pure Newtonian framework. From the perspective of geometric physics, real perihelion precession corresponds to azimuthal rotation of the empty focus of the ellipse, causing overall displacement of the entire elliptical orbit. Pure orbital deformation only changes orbital eccentricity and produces radial shifts of the empty focus without azimuthal rotation. Mercury possesses the largest orbital eccentricity among the eight planets, and its mass is far smaller than the masses of the Sun, Venus and Earth. Its orbit is highly susceptible to gravitational perturbations from external bodies. The empty focus lies far from the Sun and is extremely sensitive to lateral torques. Actual precession effects concentrate within short time windows during a limited number of close planetary encounters across a century. Whether analytical outputs from period averaging match real physical evolution cannot be determined solely by mathematical derivation. The true physical criterion must come from pure Newtonian long duration N body integration without relativistic corrections and with adaptively refined time steps during near encounter intervals, to identify the real physical origin of the 43 arcsecond residual.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22771402
Primary Topic
Pulsars and Gravitational Waves Research
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

Analysis of Inner Planet Orbital Azimuth Drift

Jiaqing Yan
Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
preprint

Analysis of Inner Planet Orbital Azimuth Drift

Jiaqing Yan
preprint en

Abstract

The residual perihelion precession of Mercury of 43 arcseconds per century has long been regarded as core observational evidence for spacetime curvature in general relativity. By reviewing historical planetary perturbation calculations and numerical simulation workflows, this residual difference is not an inherent defect within the framework of Newtonian mechanics. Analytical theories by Le Verrier and Newcomb adopted mathematical treatment of full orbital period time averaging, which smoothed out transient strong torques arising from close planetary encounters. Early N body numerical simulations from the 1980s used a fixed 5 day time step, leading to insufficient sampling of short duration strong gravitational pulses and producing implicit numerical averaging effects. Modern DE series ephemerides embed post Newtonian relativistic corrections directly and fit parameters against observational data, creating circular reasoning and making it impossible to obtain genuine perturbation results under a pure Newtonian framework. From the perspective of geometric physics, real perihelion precession corresponds to azimuthal rotation of the empty focus of the ellipse, causing overall displacement of the entire elliptical orbit. Pure orbital deformation only changes orbital eccentricity and produces radial shifts of the empty focus without azimuthal rotation. Mercury possesses the largest orbital eccentricity among the eight planets, and its mass is far smaller than the masses of the Sun, Venus and Earth. Its orbit is highly susceptible to gravitational perturbations from external bodies. The empty focus lies far from the Sun and is extremely sensitive to lateral torques. Actual precession effects concentrate within short time windows during a limited number of close planetary encounters across a century. Whether analytical outputs from period averaging match real physical evolution cannot be determined solely by mathematical derivation. The true physical criterion must come from pure Newtonian long duration N body integration without relativistic corrections and with adaptively refined time steps during near encounter intervals, to identify the real physical origin of the 43 arcsecond residual.

Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Analysis of Inner Planet Orbital Azimuth Drift — Jiaqing Yan · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS