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Saturn Simplified by Daniel Browning Introduction The lightyear derivations of the brief item entitled The Outer Horizon are: 8.583703116 x 1014 7.396101769 x 1013 1.124809871 x 1013 5.862676871 x 1012 3.662785371 x 1012 miles per year, Saturn miles per year, Jupiter miles per year, Mars miles per year, Earth miles per year, Venus These distances have the property that the ratios between distances is also the ratio between sidereal periods in days for each planet -- very roughly that is, and all except for Saturn, which is outside of an acceptable range. This is one problem. Another problem is that even though Saturn and Jupiter are derived with similar equations, the Saturn derivation doesn't include pi, and so works from a diameter and not a circumference -unlike all the other planets which use pi for rotational values. Back to Louis XIV Though the value for Saturn shown above is useful, a simpler approach to Saturn gives exactly the right values, but it requires a shift in thinking. Saturn, as seen from Earth, is directly tied into Jupiter's lightspeed horizon. The new derivation requires a rethinking -- that instead of being some remote giant beyond Jupiter, Saturn as we see it is projected on the Jupiter "wall." This is completely a constraint of the gap distance of 960 arc-seconds, as specified by the astronomers of Louis XIV some 350 years ago. The brief item entitled How Far to Sirius shows how the distance from Earth to the Sun was thought by those astronomers to be 87,000,000 miles, and this number was used to derive the Louis SOL of 140,109.8578 miles per second. This number directly determined the gap count of 960 arc-seconds. Now we consider the second number given by Louis XIV's astronomers, being the distance from Earth to Mars: 32,625,000 miles. Just as 87,000,000 determines the gap distance from the Earth's station for Jupiter, we posit that the distance from Mars to the Sun gives a second gap distance from Mars' station which corresponds to an ante-horizon for Saturn. This is Saturn's "front porch" to the inner solar system. As we will see, this ante-horizon is merely a positioning which devolves onto Jupiter's horizon and which shares virtually all of Jupiter's characteristics. This in turn is a direct measure of the Earth's circumference in miles. Obviously, to see what we see of the planets everything must be filtered or processed through the horizon closest to the Earth Tripoint Path Publications 2 - and this is measured by the gap-distance of 960 arc-seconds which in turn dicates the Earth's circumference. Jupiter's "wall" is set at the Jupiter eclipse discrepancy of 960 arc-seconds, but the French gave a second number as well -- the distance to Mars. The sum of these numbers gives an outer horizon which is Saturn's "station" -- an extension of Jupiter's horizon and the Earth's circumference. In other words, Jupiter and Saturn are extensions of Earth and Mars. In numbers: 87,000,000 (miles, Earth to Sun) + 32,625,000 (miles, Earth to Mars) = 119,625,000 (miles) x 2 (for orbital diameter) = 239,250,000 miles, orbital diameter 239,250,000 (miles) / 140,109.8578 (mps) = 1,707.588629 seconds Notice that second result above is about the same as the Jupiter "filled" light day value: 1,707,371.252 ! As will be shown, Jupiter shares this exact light-day value with Saturn. This means that Saturn as we see it is part-and-parcel with the Jupiter station or horizon, and that the far-distant nature of Saturn remains unknowable. Arthur Eddington wrote that we can solve for physical things, and can do so without ever knowing what larger structure those physical things are a part of. Saturn is a case in point. Using the same computations for Saturn as for Jupiter, as shown in How Far to Sirius : 1707.588629 (seconds) / 1.293627749 (clock to grid) = 1320 arc-seconds, Saturn eclipse discrepancy This is a nice whole number on par with the Jupiter eclipse discrepancy of 960 arcseconds. Continuing as in The Outer Horizon, page 12: 1 1320 (arc-secs) / 239,250,000 (miles) = m = x = 181,250 mps The Saturn gap-distance is set by the Jupiter horizon speed and takes us directly to a new Saturn derivation for rotational count ct. First we see that the diameter of Saturn must be tuned to the Jupiter horizon speed. This involves three numbers such that: 74,356.11690 (miles) -> 4.00000000 (ct2) -> 181,380.9132 (mps, SOL) The actual Jupiter value of 181,380.9132 is substituted for 181,250. Thus, using the formula on page 12 and working backwards: 2 x 181,380.9132 (mps) = 362,761.8264 mps 362,761.8264 (mps) x 8.5 / [74,356.11690 (miles) x π x 33] = 0.4 = ct2 Tripoint Path Publications 3 It's not strictly necessary to double the Jupiter horizon speed. One can also work with a radius for Saturn instead of a diameter and get the same result. Or, one can remain totally consistent with the original Jupiter equation and simply posit a rotational value of 2 and a square of 2. Since the square is ultimately used, a factor of 2 makes no great difference. Notice that the equation above includes pi and mass M, just as with the original Jupiter equation shown below: 181,380.9132 (mps) x 8.5 / [88,736.21766 (miles) x π x 33] = 0.1675891059 = ct2 This solves one of the outstanding problems of the previous derivations as discussed in the introduction. Saturn Rotations and Light Day Given this very simple French background, we can compute very easily the Saturn "rotations," "light day," and "filled light day" in a way that exactly mimics the computations for Jupiter. First, notice that the Saturn lightspeed used to compute the rotational count ct is 181,380.9132. This is in contrast to the lightspeed used for Jupiter, which is the Louis lightspeed of 140,109.8578. Using Saturn's rotational count (ct) and diameter: ct = 0.2 ct x 33 x π x 74,356.11690 (miles) / 8.5 = 181,380.9132 Saturn wall SOL Using Jupiter's rotational count (ct) and diameter: ct = 0.1294562111 ct x 33 x π x 88,736.21766 (miles) / 8.5 = 140,109.8578 Jupiter wall SOL And yet these equations are essentially the same because the ratio between these wall speeds is exactly the rotational count (ct) of Jupiter: 181,380.9132 (mps, Saturn) / 140,109.8578 (mps, Jupiter) = 1.294562111 So Saturn is expressed through Jupiter in almost every way. As with Jupiter, the final rotational count is a squaring of ct and a multiply by lightspeed factor C (1.329545250), which converts from Louis lightspeed to modern lightspeed. As with Jupiter, a scale by 10 is used for the squaring of ct, which is equal to 0.2: 0.2 x 2 = 0.4 x C = 0.5318181000 rotations, Saturn Next is the Saturn light day, also computed in the exact same way as Jupiter: Tripoint Path Publications Eq. A 4 33 74,356.11690 (miles, diam) x π x 8.5 (M) x 9.8 33 (hours) x 3600 (secs) = 3.210442163 x 1010 miles per light day Notice that we go so far as to use Jupiter hours in this Saturn computation. In other words, the rotation of the Jupiter horizon is what finally determines the sidereal period of Saturn as we see it. Finally, the lightspeed rotation of Equation A is factored into the light day to make a "filled light day": 0.5318181000 (rotations) x 3.210442163 x 1010 (miles) = 1.707371251 x 1010 miles @ SOL, filled light day This is exactly the Jupiter filled light-day value. At first it seems surprising that both Jupiter and Saturn have the same rotational lightspeed -- they turn on their axes at the same rate. However, Saturn as seen from Earth is merely projected onto the Jupiter horizon: it's in direct synchrony with Jupiter the way that Mars is in direct synchrony with the Earth. Jupiter and Saturn share a universal ground which directly determines the shape of the Earth we live in. Saturn Light Year The Saturn "light year" is the distance light travels according to the sidereal period of Saturn (not its axial period). Recall that this paper started with a list of light-year values determined from sidereal periods in days. Now the correct Saturn value for a light year will be computed. This is simply the "filled light day" multiplied by the number of days in a Saturn year: 1.707371251 x 1010 (miles, filled light day) x 10,760.51605 (days) = 1.837219575 x 1014 miles per year, Saturn This result is very close to the Einstein outer-horizon value of 1836, but really it's just a common harmonic. Finally we see that the ratio of light years for Saturn and Jupiter is analogous to the ratio between sidereal periods for both planets. The equation below solves the second problem outlined at the beginning of the paper: 1.837219575 x 1014 (miles, Sat) / 7.396101769 x 1013 (miles, Jup) 2.484037717 (factor) x 4331.865 (days, Jup) = 10,760.51604 days, Saturn The new listing for light-year values is: Tripoint Path Publications = 5 1.837219575 x 1014 7.396101769 x 1013 1.124809871 x 1013 5.862676871 x 1012 3.662785371 x 1012 miles per year, Saturn miles per year, Jupiter miles per year, Mars miles per year, Earth miles per year, Venus Tripoint Path Publications