Wednesday, April 4, 2012

The "perfection" of the Spheres

We know that the Solstices and equinoxes move about in the calendar due to the asymmetry of the earth's orbit. Since the velocity of earth increases as it approaches perigee, the fraction of the earth’s orbit completed in one “day” increases (remember that a “day” is from noon to the next noon – and that spot in the sky with the sun in it changes due to the ongoing orbit) and at the equinoxes, the rate of change in day length is maximal due to the increasing rate of change in the apparent angle of the sun…. PHEW!  Anyway, you'll also remember that 12:00 noon moves back 14 minutes and forward 16 minutes within the "clock day" between February 10 and November 5.... This causes the ANALEMMA, the figure eight produced by the 365.24 shadows of the sun at precisely 12:00 noon (CLOCK NOON) to be asymmetrical as well. This puts the earliest sunset on the 7th of December and the latest sunrise isn't until January 6th. And this all proves that rationalists and evolutionists are the Devil as was pointed out to me recently in a letter to the editor of our local news paper.

Perigee is the part of an asymmetrical orbit where the orbiter (satellite) is closest to the orbitee (sun). Therefore as explained by Kepler's Law, the velocity of the satellite is at it's greatest (in earth's case, approximately 6% faster than at apogee). Therefore, a "clock" day on earth (the satellite in this case) accounts for a greater fraction (more than 1/365.24th) of the orbital distance around the sun (the fraction of the year per day). And you see if you were measuring the length of a day by the clock time between one sun noon and another (the angle up to the sun) that change in "space reference angle" would be greater than in any other part of the year. Plus, at the end of a year, they would add up to a single day (that's what we'd have if we didn't rotate on our axis).

Anywhere except on the equator, the point ("when") the sun sets within the "clock day" is controlled by the tilt of the earth (where the sun encounters the horizon) AND the movement back and forth due to where "sun noon" is within the "Clock day". Simply put, it can't be simply put.

Simply put, things (changes in the season) are happening fastest at the winter solstice due to the rapidity at which the earth is moving through it's yearly cycle (even though the changes due to the tilt of the earth's axis are minimal at this point in the cycle because of the "flat part of the curve where we go from very slightly negative to very slightly positive (think of the rate of change of a sine wave from 0.99 to 1.00 to 0.99 compared to when it's at 0.49, 0.5, and 0.51). The part of the change due to where the earth is within it's orbit is changing most rapidly. At the summer solstice at apogee the curve appears even flatter because the earth is moving more slowly and a single "clock day" encompasses a smaller fraction of the earth year (less that 1/365.24). Man! Kepler was smart. And Copernicus and Galileo... To figure any of this out without really good telescopes and with paper with a pencil (I don't think they even had good erasers) is truly amazing.

The religious significance of this "less than perfect" geometry I leave to others. Some would say that it is too perfect to be random. While others might say that if you need calculus to explain it (and it's changing on another scale due the precession of the earth's orbit around the sun AND also messing with TIME itself (that "clock" part we need in the equations) due to relativistic effects caused by the acceleration and deceleration of the earth by the sun's gravity - Einstein's Relativity that messes with space, time, mass, and size) then it's too complicated for God.

1 comment:

  1. well - very interesting, you evolutionist.
    from nancy

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