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Bode's Law Explained: Ordinal Spacing of Planets, Arnold's Law


January 12, 2014 at 11:20pm

or:
Basic mathematics notes the perimeter of a regular hexagon is 3, and the perimeter-circumference of a circle is pi: 3.14159265 etc.. The outer anglular corners of the primary hexagon with perimeter 3 structurally support the primary circle with perimeter-circumference of pi. Therefore, it is sound logic to note the solar-planetary system mathematics and physics are structurally related accordingly as noted in physics by the geometry of chemical structures. A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). In fact, it follows logically that all outer space is curved as is inner space: so enumerated, defined and structurally intact, from the macro to the micro  [source: “Bode’s Law Explained,” (c) Bill Arnold, aka William Arnold, Foundation for the Study of Cycles, Vol. 30, No. 4, pages 82 to 92, 1979.]

At the micro level chemical structures form hexagonal shapes, such as snowflakes, as well as at the macro level solar-planetary structures form hexagonal-spherical structures (as observed in Saturn polar core),  https://www.youtube.com/watch?time_continue=21&v=VYrF3sFBY20&feature=emb_logo

We Earthly inhabitants, calling ourselves intelligent human beings exist on the surface of the Earth and within its atmosphere. The concept of Relativity is generally defined by laymen as absent of standards of absolute and universal application. We define and apply relativity to the star field or region of the night sky observed with our naked eyes. Through telescopes round the globe astronomers have mapped it and call it the external universe and that fifty billion planets may exist round other stars within our galaxy alone. Beyond our Earth and our Milky Way Galaxy astronmers estimate another one hundred billion galaxies exist in the observable universe. The mathematics observed within our solar-planetary system is mean or average distances and demonstrates order. Logical reasoning according to strict principles of validity within physics conclude that our system is law for other planetary systems in the known universe.

see Bode’s Law Explained, pages 82 to 92, Cycles, Vol. 30, 1979, No 4
http://cyclesresearchinstitute.org/pdf/cycles-astronomy/arnoldbode.pdf
or:

and then read:
see The Special Theory of Order, pages 219 to 232, Cycles, Vol. 36, 1985, No 9
http://cyclesresearchinstitute.org/pdf/cycles-astronomy/arnold_theory_order.pdf


If you like to analyze while you read, click above or read my two cycles papers in my Notes Section, by click on More under my timeline.



In math, use simplest math principle, Sun = 0 and Mercury = 1, and others in proportional multiples of distances from the Sun at the center.


 This paper of order in the solar-planetary system, as observed in the mathematics of spacing, is part of the Order concept I put forth in my Order paper, one in 1979, and the other in 1985, both published in the Foundation for the Study of Cycles magazine and now online. The cause and effect species conundrum of which came first, the chicken or the egg, has a similar astronomy problem in which came first, the planet or the ordinal-orbital? [See links and pages above, and click on link to see the rest]

Saturn's North Pole and Hexagon Structure https://www.youtube.com/watch?time_continue=21&v=VYrF3sFBY20&feature=emb_logoSaturn's North Pole and Hexagon Structure https://www.youtube.com/watch?time_continue=21&v=VYrF3sFBY20&feature=emb_logoSaturn north pole and Hexagonal StructureSaturn north pole and Hexagonal StructurePlanetary ranges round the sunPlanetary ranges round the sunPlanetary means round the sunPlanetary means round the sunIdeal octaval structure of solar-planetary systemIdeal octaval structure of solar-planetary systemSolar-Planetary System MathematicsSolar-Planetary System MathematicsHexagon snowflakes form like Saturn north poleHexagon snowflakes form like Saturn north poleSaturn pole hexagonal structureSaturn pole hexagonal structureSpiral galactic-wind structures round Saturn pole encapsulated by hexagonal and sphereical sturctures demonstrate physical law at the macro levelSpiral galactic-wind structures round Saturn pole encapsulated by hexagonal and sphereical sturctures demonstrate physical law at the macro level