Orbital Resonance and Solar Cycles (0903.5009v1)

Abstract: We present an analysis of planetary moves, encoded in DE406 ephemerides. We show resonance cycles between most planets in Solar System, of differing quality. The most precise resonance - between Earth and Venus, which not only stabilizes orbits of both planets, locks planet Venus rotation in tidal locking, but also affects the Sun: This resonance group (E+V) also influences Sunspot cycles - the position of syzygy between Earth and Venus, when the barycenter of the resonance group most closely approaches the Sun and stops for some time, relative to Jupiter planet, well matches the Sunspot cycle of 11 years, not only for the last 400 years of measured Sunspot cycles, but also in 1000 years of historical record of "severe winters". We show, how cycles in angular momentum of Earth and Venus planets match with the Sunspot cycle and how the main cycle in angular momentum of the whole Solar system (854-year cycle of Jupiter/Saturn) matches with climatologic data, assumed to show connection with Solar output power and insolation. We show the possible connections between E+V events and Solar global p-Mode frequency changes. We futher show angular momentum tables and charts for individual planets, as encoded in DE405 and DE406 ephemerides. We show, that inner planets orbit on heliocentric trajectories whereas outer planets orbit on barycentric trajectories.

• The paper establishes a 13:8 orbital resonance between Earth and Venus that correlates with the 11-year sunspot cycle using quantitative ephemerides data.
• It employs precise astronomical measurements from DE405 and DE406 to map angular momentum dynamics and validate multiple planetary resonance models.
• The findings imply that resonances, including the Jupiter-Saturn 5:2 alignment, play a significant role in shaping long-term solar activity and climate variability.

Orbital Resonance and Solar Cycles: An Analysis

The research paper by P.A.Semi explores the intricate relationships between planetary orbital resonances and solar cycles, with a particular focus on the Earth-Venus system and its impact on sunspot cycles. The findings provide a comprehensive quantitative analysis involving precise astronomical data from DE405 and DE406 ephemerides.

Core Contributions

The paper explores several aspects of orbital resonance within the solar system, highlighting:

• Earth-Venus Resonance: The resonance ratio of Earth and Venus is established at 13:8, a correlation that shows remarkable accuracy, where the meeting points of these planets are stable with only minor deviations. This resonance exerts a significant influence on both solar and planetary dynamics, contributing to the stabilization of planetary orbits.
• Solar Impact: It is suggested that the Earth-Venus resonance correlates with the 11-year sunspot cycle, a phenomenon substantiated through historical records of sunspots and climate data spanning over a millennium. This correlation indicates that the barycenter of the Earth-Venus pair significantly influences solar activity at specific alignments.
• Angular Momentum Dynamics: The paper maps angular momentum changes in the solar system, detailing how inner planets show heliocentric paths while outer planets demonstrate barycentric trajectories. The Jupiter-Saturn resonance, noted as a 5:2 ratio, is identified as the principal driver of longer solar cycles, such as the 854-year cycle, aligning with historical climatological patterns.
• Planetary Resonance Models: The paper provides comprehensive data on various resonance models, including those between outer planets like Jupiter-Saturn, Saturn-Uranus, and Uranus-Neptune, which underscore the complex interplanetary influences shaping solar system dynamics. However, the Neptune-Pluto resonance is noted as less stable, presenting intricate challenges for static resonance models.

Numerical Findings

The paper rigorously quantifies numerous orbital and angular momentum characteristics, with key measurements and tendencies of orbital inclinations and eccentricities across millennia. For instance, angular momentum relative to the Sun and the solar system barycenter is explored, with specific frequencies outlined, such as the 19.68-year cycle of Jupiter/Saturn and the potential climatic implications of the 854-year resonance cycle.

Implications and Future Directions

The implications of P.A.Semi’s work suggest a significant impact on understanding planetary influences on solar cycles, which could refine models not only of orbital mechanics but of solar variability influencing Earth's climate. The quantifiable link between planetary resonances and solar cycles presents an additional layer in explaining climate anomalies throughout history.

Future research could explore the magnetic and tidal forces exerted by planetary bodies and their interactions with solar magnetic fields. Expanding the dataset beyond DE405 and DE406, and integrating more complex gravitational interactions might provide deeper insights into the nuanced interplay between celestial bodies.

This work raises intriguing questions about the stability of orbital resonances in the solar system, providing a foundation for more comprehensive multi-disciplinary investigations into astrophysical and clima-driven phenomena.