{"id":30279,"date":"2016-05-19T09:41:55","date_gmt":"2016-05-19T08:41:55","guid":{"rendered":"https:\/\/atlantipedia.ie\/samples\/?p=30279"},"modified":"2025-12-18T20:04:50","modified_gmt":"2025-12-18T20:04:50","slug":"bodes-law-n-2","status":"publish","type":"post","link":"https:\/\/atlantipedia.ie\/samples\/bodes-law-n-2\/","title":{"rendered":"Bode’s Law"},"content":{"rendered":"

B<\/strong>ode’s Law,<\/strong> or more correctly Titius-Bode’s Law<\/a>, is named after two German astronomers, Johann Daniel Titius and<\/p>\n

\"Titius\"<\/a>

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Titius<\/span><\/p><\/div>\n

Johann Elert Bode, proposed in the 18th century, that there was a mathematical relationship between the then six known planets and their distance from the sun, with each one roughly twice the distance as the previous planet. Although the idea was conceived by Titius, it was Bode who gave it greater prominence, when he used it to predict the existence of Uranus and later Ceres, in the Asteroid Belt. At that point, it was accepted as a ‘law’.<\/p>\n

In the 19th century, Urbain LeVerrier and John Couch Adams, working independently, used the Titius-Bode model, combined with calculations based on Newton\u2019s Law of Gravity, to predict where the next planet, Neptune, should be found. Kamienski <\/a>wrote a short paper, comparing the formulae of LeVerrier & Adams, with that of Titius-Bode(m)<\/sup>.<\/p>\n

The subject has been debated throughout the 20th century. I.J. Good, a British mathematician, who worked with Alan Turing during WWII at Bletchley Park, offered a paper in support of Titius-Bode in 1968(b)<\/span><\/sup>. Bradley Efron, an American statistician, proposed an opposing view(c)<\/span><\/sup>. Both papers are best suited to the mathematically advanced.<\/p>\n

The late Timo Niroma<\/a> has offered some interesting observations(j)<\/sup><\/span> on the mechanics behind Titius-Bode and developed a cosmology based upon atomic weights, noting that \u201cWhat happens on a small scale seems to obey the same laws on a much grander scale.\u201d<\/em><\/p>\n

Georgi Gladyshev, a Russian scientist, has proposed an explanation for Titius-Bode, based on the work of Raphael Liesegang,(g)<\/span><\/sup> who proposed the concept of ‘periodic precipitation’. Gladyshev applied Liesegang’s theory to the early stages of the formation of our Solar System(h)(i)(t)*<\/span><\/strong><\/span><\/sup>. It was hoped that\u00a0this may bring us closer to the physics behind the distribution of the planets!<\/span><\/p>\n

It has also been proposed that a Titius-Bode-Type ‘rule’ seems to be applicable to planetary satellite systems(d)<\/sup>, <\/b>particularly that of Uranus(p) <\/b><\/sup>and there appears to be evidence(a)<\/span><\/sup> that Titius-Bode is also applicable to exoplanetary systems!\u00a0Strong support for this has recently been offered by Dimitrios Krommydas & Fabio Scardigli(v)<\/span><\/sup> \u00a0as well as Lara, Cordero-Tercero & Allen(w)<\/span><\/sup>. They all review statistical evidence that in many exoplanet systems orbital distances follow an exponential progression indicated by a generalized Bode\u2019s \u2018law\u2019.<\/p>\n

\"Bode\"<\/a>

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Bode<\/span><\/p><\/div>\n

The Titius-Bode Law has also been linked with the Fibonacci Series,(e)<\/span><\/sup>\u00a0as well as the Golden Mean(f)<\/span><\/sup>.<\/p>\n

Velikovskian catastrophism proposes[<\/sup>0037<\/sup><\/a>.152]\u00a0<\/sup>that Atlantis was destroyed as a result of the periodic close encounters of our planet and Moon with Venus and\/or Mars during the 1st & 2nd millennia BC. <\/b>According to Velikovsky, Venus was a relatively recent newcomer to the Solar System and the orbit of Mars had been disturbed, which would suggest that prior to the arrival of Venus and the displacement of Mars, Bode’s Law would have been invalidated! C.J. Ransom has tackled this head-on in The Age of Velikovsky<\/em> [1880<\/a>.90]<\/sup>. However, his defence of Bode and Velikovsky was rejected by Dr M. M. Nieto(n)<\/span><\/sup>.<\/p>\n

Louis Jacot (1906-1987) was a Swiss economist and jurist who added the study of science and philosophy to his intellectual toolkit. He developed some novel cosmological theories, including enthusiastic support for Bode’s Law which he described as “the great key to the mysteries of the Universe.”<\/em> [1774<\/a>] <\/sup>\u00a0 \u00a0While this may be overstating his case, I cannot help feeling that Bode’s Law is an expression of cosmological principles operating in a manner not as yet identified! At its simplest, the question is, are we to believe that the spacing of the planets came about purely by chance or is there an unrecognised force or forces at play? (Jacot the jurist and Jacot the author mentioned here may be different people.)<\/p>\n

For my own part, I have always felt that Bode\u2019s Law was a highly convincing concept, but unfortunately, I do not have the mathematical or astronomical ability required to objectively verify its reality, nor the proposed Fibonacci Sequence and the Golden Mean relationship with it. It would appear that acceptance of Bode would create difficulties, not just for the Saturn Theory<\/a>, but also for Velikovsky<\/a>\u2019s idea that Venus was just a large piece of ejecta from Jupiter, that had catastrophic close encounters with Earth and Mars, within human experience, just a few thousand years ago. Such an idea would mean that prior to the Saturnian rearrangement of the planets or the Velikovskian creation of Venus, the positional relationship of the planets probably did not conform to any known mathematical model, but after this\/these calamitous events everything \u2018coincidentally\u2019 settled into orbits that are now claimed to conform to Bode, Fibonacci and the Golden Mean! Can we believe that after careening around the solar system, including a number of close encounters with Earth, that all the planets adopted new orbits, that conformed closely with Bode’s Law? Surely, this is a coincidence too far?<\/p>\n

Stephen M. Phillips has published a lengthy paper entitled ‘The Logarithmic Spiral Basis of the Titius-Bode Law’. For me this document is difficult to absorb, involving as it does Musical theory, Pythagoras, String Theory and plenty of mathematics (q)<\/sup>.<\/p>\n

Although the ‘Law’ has been generally abandoned by mainstream scientists, there is still interest in some quarters. One of those was the British astronomer, the late Michael Ovenden (1926-1987) who produced a modified version of the original formula(k)<\/sup>. Another version involves an interpretation of quantum mechanics, called pilot-wave theory(l)<\/sup>!<\/p>\n

W.I. Newman, M.P. Haynes and Y. Terzian “have considered the psychological tendency to find a pattern where none exists, and have also discussed how inappropriate inferences regarding astronomical phenomena have been drawn from statistical analyses.” <\/em>(o)<\/sup><\/p>\n

In May 2023, the Live Science<\/em> website(r)<\/sup> wrote that “<\/em>Earth probably shouldn’t exist – that’s because the orbits of the inner solar system planets \u2014 Mercury, Venus, Earth and Mars \u2014 are chaotic, and models have suggested that these inner planets should have crashed into each other by now. And yet, that hasn’t happened.”<\/em><\/p>\n

Jacques Laskar, astronomer and research director at the National Center for Scientific Research and Paris Observatory is a co-author of the new study,(s)<\/sup> in which he and his colleagues have identified for the first time, ‘symmetries’ or ‘conserved quantities’ in the gravitational interactions that create a “practical barrier in the chaotic wandering of the planets. “<\/em>\u00a0Where previously they had calculated that there was a 1% possibility of collision among the inner planets over 5 billion years. However, the introduction of these new ‘symmetries’ suggested that it could take 30 billion years for any planets to collide.<\/p>\n

I can’t help wondering if Bode’s Law might be an expression of these symmetries.<\/p>\n

Nearly a decade ago, Doug Yurchey<\/a> (writing as Tray Caladan) published a paper(u)<\/sup> \u00a0in support of Bode\u2019s Law. He brought Pluto back into the family of Solar System planets and suggested that more may be added – \u201cIs Sedna the furthest extent of our planetary system? Doubtful. We may have to carry Bode\u2019s Law out one, two or even three more places (distances) to arrive at the actual composition of our Solar System.\u201d<\/em><\/p>\n

Also See: Saturn Theory<\/a><\/p>\n

(a) <\/sup> https:\/\/arxiv.org\/abs\/1602.02877<\/a><\/p>\n

(b)<\/sup> Bode’s Law (archive.org)<\/a><\/p>\n

(c)\u00a0<\/sup> Does an Observed Sequence* of Numbers Follow a Simple Rule? (Another Look at Bode’s Law) | Department of Statistics (archive.org)<\/a><\/p>\n

(d) <\/sup>Titius-Bode-Type Rules for Planetary Satellite Systems (archive.org)<\/a><\/p>\n

(e)\u00a0<\/sup> https:\/\/tallbloke.wordpress.com\/2013\/02\/20\/a-remarkable-discovery-all-solar-system-periods-fit-the-fibonacci-series-and-the-golden-ratio-why-phi\/<\/a><\/p>\n

(f)\u00a0<\/sup> https:\/\/www.fq.math.ca\/Scanned\/22-1\/lombardi.pdf<\/a><\/p>\n

(g)<\/span><\/sup> https:\/\/www.insilico.hu\/liesegang\/history\/history.html<\/a><\/p>\n

(h)<\/sup> As Above So Below \u2013 Georgi Gladyshev | MalagaBay (archive.org)<\/a><\/p>\n

(i)<\/sup> https:\/\/file.scirp.org\/pdf\/NS_2015051816303613.pdf<\/a><\/p>\n

(j)<\/span><\/sup> As Above So Below \u2013 Timo Niroma | MalagaBay (archive.org)<\/a><\/p>\n

(k)<\/sup> https:\/\/www.researchgate.net\/scientific-contributions\/2021145656_Michael_W_Ovenden<\/a><\/p>\n

(l)<\/sup> https:\/\/www.sciencealert.com\/mind-bending-new-theory-of-everything-suggests-there-s-a-hidden-force-that-controls-our-universe<\/a><\/p>\n

(m)<\/sup> Atlantis, <\/em>Volume 13, No.1 December 1959<\/p>\n

(n)<\/sup> The Titius-Bode Law (archive.org)<\/a><\/p>\n

(o)<\/sup> Redshift Data and Statistical Inference<\/em>, Astrophys. J., 431, 147, 1994.<\/p>\n

(p)<\/sup> https:\/\/old.world-mysteries.com\/sci_8.htm<\/a>\u00a0 2\/3rds of the way down<\/p>\n

(q)<\/sup> http:\/\/www.smphillips.mysite.com\/article-17.html<\/a>\u00a0<\/span><\/strong><\/p>\n

(r)<\/sup> Scientists discover secret ‘symmetries’ that protect Earth from the chaos of space | Live Science<\/a>\u00a0<\/strong><\/span><\/p>\n

(s)<\/sup> XY10707_min.pdf (pardot.com)<\/a><\/p>\n

(t)<\/sup> (99+) The solar system evolution | Georgi Gladyshev – Academia.edu<\/a>\u00a0<\/span><\/strong><\/p>\n

(u)<\/sup>\u00a0New Order to the Solar System (world-mysteries.com)<\/a><\/p>\n

(v)<\/sup> https:\/\/www.semanticscholar.org\/paper\/Exponential-distance-relation-(aka-Titius-Bode-in-Krommydas-Scardigli\/e6ab8de60019c3a5c8a28fcb1f9e9490bf0e0e52<\/a><\/p>\n

(w)<\/sup> https:\/\/www.researchgate.net\/publication\/340984934_The_reliability_of_the_Titius-Bode_relation_and_its_implications_for_the_search_for_exoplanets<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Bode’s Law, or more correctly Titius-Bode’s Law, is named after two German astronomers, Johann Daniel Titius and Johann Elert Bode, proposed in the 18th century, that there was a mathematical relationship between the then six known planets and their distance from the sun, with each one roughly twice the distance as the previous planet. Although […]<\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[4678,1584,6418,3053,4679,6951,3974,2132,4680,4735,3528,4677,530,4674,4675,2465,6417,6657,6952,951,5971,4113,5239,3888,5972,1321,4736,4681,7591,2184,4676,2532],"class_list":["post-30279","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-alan-turing","tag-asteroid-belt","tag-bletchley-park","tag-bodes-law","tag-bradley-efron","tag-c-j-ransom","tag-ceres","tag-doug-yurchey","tag-fibonacci-series","tag-georgi-gladyshev","tag-golden-mean","tag-i-j-good","tag-isaac-newton","tag-johann-daniel-titius","tag-johann-elert-bode","tag-jupiter","tag-leverrier-adams","tag-louis-jacot","tag-m-m-nieto","tag-mars","tag-michael-ovenden","tag-michal-kamienski","tag-musical-theory","tag-neptune","tag-pilot-wave-theory","tag-pythagoras","tag-raphael-liesegang","tag-saturn","tag-string-theory","tag-timo-niroma","tag-uranus","tag-venus"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/posts\/30279","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/comments?post=30279"}],"version-history":[{"count":26,"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/posts\/30279\/revisions"}],"predecessor-version":[{"id":65740,"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/posts\/30279\/revisions\/65740"}],"wp:attachment":[{"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/media?parent=30279"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/categories?post=30279"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/atlantipedia.ie\/samples\/wp-json\/wp\/v2\/tags?post=30279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}