The best way to see the law is to write down the sequence 0, 3, 6, 12
and so on, where each number is obtained by doubling its predecessor. Next,
add 4 to each number, and divide the result by 10. Now get out any astronomy
textbook and look up the distances of the planets from the Sun in astronomical
units, the Earth-Sun distance being defined as 1. The distances are virtually
identical to the terms in the number sequence for all but the outermost
This curious ‘coincidence’ has divided astronomers into two camps ever
since its publication in 1766 by the Prussian astronomer Johann Daniel Titius.
Some think it really is just a coincidence, while others think it reflects
an undiscovered feature of the Solar System.
For a mere coincidence, the ‘law’ has an astonishing track record. Shortly
after Titius’s announcement, his compatriot Johann Bode suggested that the
lack of a known planet at 2.8 astronomical units, the fifth term in the
series, might make a search for the ‘missing planet’ worthwhile. Bode’s
idea got a major boost in 1781 with the discovery of Uranus, the first planet
to be found since antiquity. According to the Titius-Bode law, Uranus should
lie at 19.6 astronomical units; it was found 19.2 astronomical units from
By 1796, Bode had persuaded a group of astronomers to hunt for the missing
planet between Mars and Jupiter. Five years later it turned up: the ‘minor
planet’ Ceres, 1000 kilometres across and orbiting at 2.8 astronomical units
from the Sun – just where the Titius-Bode law predicted.
Some years later, astronomers found that the newly discovered Uranus
was mysteriously wandering off course, prompting some to wonder if yet another
missing planet was pulling it off course, this time orbiting at the vacant
eighth Titius-Bode position of 38.8 astronomical units. In 1842, the young
Cambridge mathematician John Couch Adams based his first stab at solving
the mystery on the idea of a planet sitting at this eighth position. So
did Urbain Le Verrier, the distinguished French astronomer who in 1846 pipped
Adams and a lacklustre British team in the race to find the missing planet,
now called Neptune.
Ironically, it was this apparent triumph for the Titius-Bode law that
led to its current uncertain status among astronomers. The orbit of Neptune
turned out to have a radius of 30.1 astronomical units, which is much lower
than the law predicts. The final straw came in 1930, when Pluto was discovered
at about 40 astronomical units – barely more than half the 77.2 predicted
by the ‘law’.
So, were all the earlier successes of the Titius-Bode law merely flukes?
Today, the relationship is widely seen as no more than a numerological curiosity.
Sceptics point to research showing that even random numbers subject to plausible
constraints can be persuaded to obey such a law (Nature, vol 242, p 318).
The Logarithmic Spiral Basis of the Titius-Bode Law - A solution is proposed for a 238-year old astronomical mystery: why do all planets in the Solar System except Neptune and Pluto obey the Titius-Bode Law?
The spiral arms of the planetary nebula from which the Solar System formed had the geometry of a lograrithmic spiral. When they segmented and spread out into elliptical rings around the proto-sun, the size of each ring was set by successive revoltions of the spiral.
Each annulus narrowed as its material accreted through collision, gravitationally aggregating into planetesimals and then into a planet. The arithmetic mean of the radii of each ring set the distance of the planet from the asymptotic centre of the logarithmic spiral.
The Titius-Bode Law reflects the fact that these averages are the wavelengths of perfect fourths of the undertones of the Pythagorean musical scale.
Because Mercury's orbit is not concentric with those of other planets, astronomers misintepreted the first term in the relationship as the average distance of this planet from the Sun, whereas it is the distance of the asymptotic centre from the Sun, these distances being almost equal.
The eight-fold patterns of electrons in atomic shells, of baryons and mesons and of the notes of the musical scale suggest that planets, too, group in octets conforming to the self-similar, scale-invariant geometry of the logarithmic spiral.
As members of the re-scaled, second octet, Neptune and Pluto have predicted average distances from the Sun in good agreement with their known values. The predicted average distance of the next planet beyond Pluto agrees exactly with that of an object recently detected with an almost circular orbit.
The Solar System exhibits beautiful, arithmetic properties expressed in terms of the integers 1, 2, 3 and 4. The number values of the Hebrew Godnames determine planetary distances. Remarkably, the group-theoretical parameter 248 of superstring theory emerges as the distance (in units of one-tenth the Earth-Sun distance) between the outer edges of the rings generating Earth and Pluto.
Keelys Harmony of the Spheres - The most amusing and almost whimsical correlation to this paper is the photo of Keelys "Vibratory Planetary Globe" which was reported to emulate the orbits of every planet in our solar system when energized. Keely built it to study the mathematics of how planets orbited.
Each sphere represented one of the planets with the central globe representing our sun.
When powered up, all spheres rose up into the air, the small spheres took their respective orbital locations as they moved away from the large central sphere. The story says a witness jumped up and grabbed one of these orbiting spheres and it held him up suspended in the air as he spun around the room. Kind of like the movie Explorers with their electrical point in space that moves through space.
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DVD - the Physics of Crystals, Pyramids and Tetrahedrons
This is a wonderful duel DVD set lasting 2 hours and which presents one man's lifelong study of pyramids, crystals and their effects. Several of his original and very creative experiments are explained and diagramed out for experimenters. These experiments include;
1) transmutation of zinc to lower elements using a tetrahedron,
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2) energy extraction from a pyramid,
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7) using crystals to assist natural healing,
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KeelyNet BBS Files w/bonus PDF of 'Keely and his Discoveries'
Finally, I've gotten around to compiling all the files (almost 1,000 - about 20MB and lots of work doing it) from the original KeelyNet BBS into a form you can easily navigate and read using your browser, ideally Firefox but it does work with IE. Most of these files are extremely targeted, interesting and informative, I had forgotten just how much but now you can have the complete organized, categorized set, not just sprinklings from around the web. They will keep you reading for weeks if not longer and give you clues and insights into many subjects and new ideas for investigation and research. IN ADDITION, I am including as a bonus gift, the book (in PDF form) that started it all for me, 'Keely and his Discoveries - Aerial Navigation' which includes the analysis of Keely's discoveries by Dr. Daniel G. Brinton. This 407 page eBook alone is worth the price of the KeelyNet BBS CD but it will give you some degree of understanding about what all Keely accomplished which is just now being rediscovered, but of course, without recognizing Keely as the original discoverer. Chapters include; Vibratory Sympathetic and Polar Flows, Vibratory Physics, Latent Force in Interstitial Spaces and much more. To give some idea of how Keely's discoveries are being slowly rediscovered in modern times, check out this Keely History. These two excellent bodies of information will be sent to you on CD. If alternative science intrigues and fascinates you, this CD is what you've been looking for...
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'The Evolution of Matter' and 'The Evolution of Forces' on CD
Years ago, I had been told by several people, that the US government frequently removes books they deem dangerous or 'sensitive' from libraries. Some are replaced with sections removed or rewritten so as to 'contain' information that should not be available to the public despite the authors intent. A key example was during the Manhattan Project when the US was trying to finalize research into atomic bombs. They removed any books that dealt with the subject and two of them were by Dr. Gustave Le Bon since they dealt with both energy and matter including radioactivity. I had been looking for these two books for many years and fortunately stumbled across two copies for which I paid about $40.00 each. I couldn't put down the books once I started reading them. Such a wealth of original discoveries, many not known or remembered today. / Page 88 - Without the ether there could be neither gravity, nor light, nor electricity, nor heat, nor anything, in a word, of which we have knowledge. The universe would be silent and dead, or would reveal itself in a form which we cannot even foresee. If one could construct a glass chamber from which the ether were to be entirely eliminated, heat and light could not pass through it. It would be absolutely dark, and probably gravitation would no longer act on the bodies within it. They would then have lost their weight. / Page 96-97 - A material vortex may be formed by any fluid, liquid or gaseous, turning round an axis, and by the fact of its rotation it describes spirals. The study of these vortices has been the object of important researches by different scholars, notably by Bjerkness and Weyher. They have shown that by them can be produced all the attractions and repulsions recognized in electricity, the deviations of the magnetic needle by currents, etc. These vortices are produced by the rapid rotation of a central rod furnished with pallets, or, more simply, of a sphere. Round this sphere gaseous currents are established, dissymetrical with regard to its equatorial plane, and the result is the attraction or repulsion of bodies brought near to it, according to the position given to them. It is even possible, as Weyher has proved, to compel these bodies to turn round the sphere as do the satellites of a planet without touching it. / Page 149 - "The problem of sending a pencil of parallel Hertzian waves to a distance possesses more than a theoretical interest. It is allowable to say that its solution would change the course of our civilization by rendering war impossible. The first physicist who realizes this discovery will be able to avail himself of the presence of an enemy's ironclads gathered together in a harbour to blow them up in a few minutes, from a distance of several kilometres, simply by directing on them a sheaf of electric radiations. On reaching the metal wires with which these vessels are nowadays honeycombed, this will excite an atmosphere of sparks which will at once explode the shells and torpedoes stored in their holds. With the same reflector, giving a pencil of parallel radiations, it would not be much more difficult to cause the explosion of the stores of powder and shells contained in a fortress, or in the artillery sparks of an army corps, and finally the metal cartridges of the soldiers. Science, which at first rendered wars so deadly, would then at length have rendered them impossible, and the relations between nations would have to be established on new bases."
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High Voltage & Free Energy Devices Handbook
This wonderfully informative ebook provides many simple experiments you can do, including hydrogen generation and electrostatic repulsion as well as the keys to EV Gray's Fuelless Engine. One of the most comprehensive compilations of information yet detailing the effects of high voltage repulsion as a driving force. Ed Gray's engine produced in excess of 300HP and he claimed to be able to 'split the positive' energy of electricity to produce a self-running motor/generator for use as an engine. Schematics and tons of photos of the original machines and more! Excellent gift for your technical friends or for that budding scientist! If you are an experimenter or know someone who investigates such matters, this would make an excellent addition to your library or as an unforgettable gift. The downloadable HVFE eBook pdf file is almost 11MB in size and contains many experiments, photos, diagrams and technical details. Buy a copy and learn all about hydrogen generation, its uses and how to produce electrostatic repulsion. - 121 pages
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Hypnosis CD - 3 eBooks with How To Techniques and Many Cases
If you have a few minutes, you might want to read my page on hypnosis and all the amazing things associated with its application. Included is an experience I had when I hypnotized a neighbor kid when I was about 14. As well the hypnotic gaze of snakes, the discovery of 'eyebeams' which can be detected electronically, the Italian Hypnotist Robber who was caught on tape with his eyes glowing as cashiers handed over their money and remembered nothing, glamour and clouding the mind of others, several methods of trance induction and many odd cases, animal catatonia, healing, psychic phenomena, party/stage stunts, including my favorite of negative hallucination where you make your subject NOT see something...much more...if nothing else, its might be a hoot to read.
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14 Ways to Save Money on Fuel Costs
This eBook is the result of years of research into various methods to increase mileage, reduce pollution and most importantly, reduce overall fuel costs. It starts out with the simplest methods and offers progressively more detailed technologies that have been shown to reduce fuel costs. As a bonus to readers, I have salted the pages with free interesting BONUS items that correlate to the relevant page. Just filling up with one tank of gas using this or other methods explained here will pay for this eBook. Of course, many more methods are out there but I provided only the ones which I think are practical and can be studied by the average person who is looking for a way to immediately reduce their fuel costs. I am currently using two of the easier methods in my own vehicle which normally gets 18-22 mpg and now gets between 28 and 32 mpg depending on driving conditions. A tank of gas for my 1996 Ford Ranger costs about $45.00 here so I am saving around $15-$20 PER TANK, without hurting my engine and with 'greener' emissions due to a cleaner burn! The techniques provided in this ebook begin with simple things you can do NOW to improve your mileage and lower your gas costs. - eBook Download / More Info
The Physics of the Primary State of Matter
The Physics of the Primary State of Matter - published in the 1930s, Karl Schappeller described his Prime Mover, a 10-inch steel sphere with quarter-inch copper tubing coils. These were filled with a material not named specifically, but which is said to have hardened under the influence of direct current and a magnetic field [electro-rheological fluid]. With such polarization, it might be guessed to act like a dielectric capacitor and as a diode...
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$5 Alt Science MP3s to listen while working/driving/jogging
No time to sit back and watch videos? Here are 15 interesting presentations you can download for just $5 each and listen to while driving, working, jogging, etc. An easy way to learn some fascinating new things that you will find of use. Easy, cheap and simple, better than eBooks or Videos. Roughly 50MB per MP3.
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15 New Alternative Science DVDs & 15 MP3s
An assortment of alternative science videos that provide many insights and inside information from various experimenters. Also MP3s extracted from these DVDs that you can listen to while working or driving. Reference links for these lectures and workshops by Bill Beaty of Amateur Science on the Dark Side of Amateur Science, Peter Lindemann on the World of Free Energy, Norman Wootan on the History of the EV Gray motor, Dan Davidson on Shape Power and Gravity Wave Phenomena, Lee Crock on a Method for Stimulating Energy, Doug Konzen on the Konzen Pulse Motor, George Wiseman on the Water Torch and Jerry Decker on Aether, ZPE and Dielectric Nano Arrays. Your purchase of these products helps support KeelyNet, thanks!
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