Thursday, October 3, 2019

Are the Strongest Lunar Perigean Spring Tides Commensurate with the Transit Cycle of Venus?

The following graph inspired my 2014 paper entitled:

Wilson, I.R.G. Are the Strongest Lunar Perigean Spring Tides Commensurate with the Transit Cycle of Venus?,  Pattern Recogn. Phys., 2, 75-93

Received: 25/Jul/2014 - Revised: 10/Sep/2014 - Accepted: 18/Sep/2014 - Published: 28/Nov/2014

It was accepted for publication in the second volume of the Journal Pattern Recognition in Physics (PRP) on the 18th of November 2014. The publishers of the PRP, Copernicus Publications, decided to close the journal in 2014, despite having accepted my paper for publication. It temporarily appeared on-line (i.e. was published) and then removed. In protest, I refused to pay the publication fee until they put my paper back up on-line. They never did.  I didn't realize that a publisher could accept a paper for publication, publish it and then remove it from publication, without giving any rational reason for their actions.

This graph shows the remarkable alignment between the dates for the transits of Venus over a 700-year period between 1600 and 2300 A.D. and the repetition pattern for the most extreme Perigean Spring tides that are closest to the nominal date of the Perihelion of the Earth's orbit. 





Abstract: 

This study identifies the strongest perigean spring tides that reoccur at roughly the same time in the seasonal calendar and shows how their repetition pattern, with respect to the tropical year, is closely synchronized with the 243-year transit cycle of Venus. It finds that whenever the pentagonal pattern for the inferior conjunctions of Venus and the Earth drifts through one of the nodes of Venus’ orbit, the 31/62 year perigean spring tidal cycle simultaneously drifts through almost exactly the same days of the Gregorian year, over a period from 1 to 3000 A.D. Indeed, the drift of the 31/62 year tidal cycle with respect to the Gregorian calendar almost perfectly matches the expected long-term drift between the Gregorian calendar and the tropical year. If the mean drift of the 31/62 perigean spring tidal cycle is corrected for the expected long-term drift between the Gregorian calendar and the tropical year, then the long-term residual drift between: 

a) the 243-year drift-cycle of the pentagonal pattern for the inferior conjunctions of Venus and the Earth with respect to the nodes of Venus’s orbit and 

b) the 243-year drift-cycle of the strongest seasonal peak tides on the Earth (i.e. the 31/62 perigean spring tidal cycle) with respect to the tropical year,

is approximately equal to -7 ± 11 hours, over the 3000-year period. The large relative error of the final value for the residual drift means that this study cannot rule out the possibility that there is no long-term residual drift between the two cycles i.e. the two cycles are in perfect synchronization over the 3000 year period. However, the most likely result is a long-term residual drift of -7 hours, over the time frame considered.

Keywords: Solar System — Planetary Orbits — Lunar Tides 


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