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Newton,while formattting his time,space and motions distinctions in
line with the Equation of Time method created an error by shifting to the sidereal format.However convenient it may have been for his gravitational agenda to make the shift,it creates an astronomical picture of such a limited value it is almost worthless.Anyone who calls himself an astronomer can judge correctly that Newton used Flamsteed's isochronos value and changed to that perspective as it is the only means to determine that geocentric coordinates are equivalent to heliocentric coordinates. "Absolute time, in astronomy, is distinguished from relative, by the equation or correlation of the vulgar time. For the natural days are truly unequal, though they are commonly considered as equal and used for a measure of time; astronomers correct this inequality for their more accurate deducing of the celestial motions. It may be, that there is no such thing as an equable motion, whereby time may be accurately measured " http://members.tripod.com/~gravitee/...tions.htm#time "PHÆNOMENON IV. That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun. This proportion, first observed by Kepler, is now received by all astronomers; for the periodic times are the same, and the dimensions of the orbits are the same, whether the sun revolves about the earth, or the earth about the sun. And as to the measures of the periodic times, all astronomers are agreed about them. But for the dimensions of the orbits, Kepler and Bullialdus, above all others, have determined them from observations with the greatest accuracy; and the mean distances corresponding to the periodic times differ but insensibly from those which they have assigned, and for the most part fall in between them; as we may see from the following table." http://members.tripod.com/~gravitee/phaenomena.htm An astronomer of distinction would recognise why one picture is incompatible with the other from those two excerpts taken from the Principia.Fundamentally,the Equation of Time description of the first excerpt refers to the isolating of the axial rotation of the Earth from its variable orbital motion while the sidereal format treats the motions of the Earth as a single homogenised movement and has no astronomical justification whatsoever. http://astrosun2.astro.cornell.edu/a...1/sidereal.htm The Actual Main Component of the Equation of Time There are two major consequences in recognising the changing orientation of the daylight/darkness line as a property of the Earth's orbital motion. http://www.mhhe.com/physsci/astronom...ages/04f15.jpg The daylight/darkness line is always tangential to the Sun/Earth line as indicated by the arrows in the above graphic and represents the distinction between the Earth's orbital shadow and the change in that shadow in accordance with Kepler's second law against the distant stars. The changing reference of the daylight/darkness line to the distant stars is useful for grafting in the axial rotation of the Earth insofar as an observer axially rotates out of the orbital shadow (Dawn),the direction of orbital motion can be gauged against the daylight/darkness line.At the perihelion and aphelion,the orbital direction of the Earth lies on the daylight/line (as seen in the graphic)- http://www.mhhe.com/physsci/astronom...ages/04f15.jpg Depending on where the Earth in in its orbital motion,at other times,it will exist closer to dawn darkness and at other time closer to dawn daylight. The changing orientation of the daylight/darkness line in accordance with Kepler's second law and the constant axial rotation of the Earth passing through that line and on to the alignment with the Sun/Earth line is what generates the natural unequal day. The Equation of Time, with its positive and negative minute and second values which are added and subtracted to the noon determination to facilitate the isolation of the axial rotation of the Earth to the 24 hour/360 degree equivalency over the course of an annual orbital cycle exists as a product between constant axial rotation and the shift in the daylight/darkness line. There never was an axial tilt component in the Equation of Time and for about 400 years the changing orientation of the daylight/darkness line as a property of the Earth's orbital orientation to the Sun (the line is 90 degrees perpendicular to the Sun Earth line) has been ignored. Anyone who discerns the general direction of the Earth's orbital motion at dawn as the Earth axially rotates out of its orbital shadow will experience something new ,the rediscovery of astronomy and the works of Copernicus and especially Kepler. http://www.serve.com/wizjd/pics/hale05_m.jpg If there is a problem recognising the changing orientation of the daylight/darkness line in accordance with Kepler's second law,this simplified graphic may help along with the main graphic demonstrating how the line changes over an annual orbit. http://www.museum.vic.gov.au/scidisc...00779_w150.gif http://www.mhhe.com/physsci/astronom...ages/04f15.jpg |
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