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	Titius-Bode Law
		The Titius-Bode Law or Rule is the observation that orbits of planets in the solar system follow a simple arithmetic rule quite closely.
		Johann Elert Bode was born on January 19, 1747 in Hamburg, Germany.
		Titius and Bode decided to skip a number, making Jupiter a particularly good fit.
	milan.milanovic.org /math/english/titius/titius.html (894 words)

	La Ley de Titius
		La ley de Titius, quién sabe, responde tal vez más a la inteligencia que a las exigencias de la lógica.
		Viendo esta sorprendente relación, Titius se preguntó si no habría alguna forma matemática sencilla de describir la distancia de cada planeta al Sol, de manera que pudiésemos, mediante esa ley, saber la distancia a nuestra estrella del planeta anterior o posterior a aquel para que quisiéramos calcular su lejanía.
		La más evidente era entre Marte y Júpiter, pues la ley de Titius indicaba que debería existir allí un planeta, a unas 2,8 U.A. Asimismo, señalaba la posible presencia de otros cuerpos planetarios a distancias de 20 y 40 U.A., aproximadamente.
	www.astrosafor.net /Huygens/2004/47/Titius.htm (3264 words)

	La Ley de Titius (via CobWeb/3.1 planetlab2.cs.virginia.edu) (Site not responding. Last check: 2007-11-03)
		Después de algunos fallidos intentos, Titius fue capaz de desarrollar una ley (o mejor dicho, una progresión geométrica) en la que se podían averiguar la lejanía de los planetas muy fácilmente.
		Titius hizo de traductor de la obra, publicando el libro en 1772, y no simplemente de traductor, sino también de coautor, porque añadió en el texto original algunos de sus conocimientos sobre el mundo natural...
		La ley de Titius puede considerarse válida dentro de nuestro recinto planetario.
	www.astrosafor.net.cob-web.org:8888 /Huygens/2004/47/Titius.htm (3264 words)

	Astronomical Coincidences
		In 1766 Johann Titius, a German mathematician was able to find a mathematical series that closely predicted the distances of the known planets of the time, with one little problem, as we will see.
		This formula was published by Johann Bode 6 years later, who made it famous, and unfortunately for Titius, it became forever known as Bode's Law.
		Titius started with the series 0, 3, 6, 12, 24, 48, 96 etc. doubling the each number.
	ourworld.compuserve.com /homepages/bmoler/astroco.htm (699 words)

	ESA - Space Science - 11 December
		She reorganised the classification of stars in terms of surface temperature in spectral classes O, B, A, F, G, K, M and catalogued over 225 000 stars for the Henry Draper Catalogue of stellar spectra.
		Titius was a Prussian astronomer whose formula showing the distances between the planets and the Sun was confirmed by Bode in 1772, when it was called Bode's Law (now the Titius-Bode Law).
		Titius suggested that the mean distances of the planets from the Sun very nearly fit a simple relationship of A=4+(3x2n) giving the series 4, 7, 10, 16, 28, 52, 100, corresponding to the relative distance of the six known planets, up to Saturn, and a 'missing' value of 28 between Mars and Jupiter.
	www.esa.int /esaSC/SEMA2BXLDMD_index_0.html (266 words)

	The Abolition of Man
		Gaius and Titius comment as follows: 'When the man said This is sublime, he appeared to be making a remark about the waterfall...Actually...he was not making a remark about the waterfall, but a remark about his own feelings.
		The very power of Gaius and Titius depends on the fact that they are dealing with a boy: a boy who thinks he is 'doing' his 'English prep' and has no notion that ethics, theology, and politics are all at stake.
		It is not a theory they put into his mind, but an assumption, which ten years hence, its origin forgotten and its presence unconscious, will condition him to take one side in a controversy which he has never recognized as a controversy at all.
	www.cslewisclassics.com /books/abolition_of_man-excerpt.html (900 words)

	Extended Excerpt from Forward to "Ephemerides Of the Asteroids Ceres, Pallas, Juno, Vesta" written - by Eleanor Bach (Site not responding. Last check: 2007-11-03)
		Titius noted the peculiar and regular proportion in the separation of the planets from each other and remarked upon the significant gap between Mars and Jupiter.
		Titius' progression came to be known as Bodes Law.
		In 1801, the year in which the first minor planet Ceres was discovered, Hegel published a dissertation in which he attempted to prove that there could not possibly be a planet between Mars and Jupiter.
	ephemeral.info /qot/bach.shtml (3847 words)

	Men Without Chests
		If Gaius and Titius were to stick to their last and teach their readers (as they promised to do) the art of English composition, it was their business to put this advertisement side by side with passages from great writers in which the very emotion is well expressed, and then show where the difference lies.
		Gaius and Titius, while teaching him nothing about letters, have cut out of his soul, long before he is old enough to choose, the possibility of having certain experiences which thinkers of more authority than they have held to be generous, fruitful, and humane.
		If it is the position which Gaius and Titius are holding, I must, for the moment, content myself with pointing out that it is a philosophical and not a literary position.
	www.columbia.edu /cu/augustine/arch/lewis/abolition1.htm (4997 words)

	THE TITIUS-BODE NUMBER SEQUENCE DECIPHERED
		Titius and Bode noticed the following pattern- they started with 0, then took 3 and began doubling- 0, 3, 6, 12, 24, 48, 96, 192, 384, 768.
		Table 1 shows the average distances from the sun of the 9 planets and the asteroid belt between Mars and Jupiter.
		If you have thoughts you'd like to share on this, please send email by (this is to foil the spambots) putting together my first and last names, Joseph Conklin, with no space between them, as the name portion in the usual email format at bellsouth.net.
	bellsouthpwp.net /j/o/josephconklin/jw/tb/titius.html (883 words)

	Lutherstadt Wittenberg, Joh. Daniel Titius
		In ihr wird in anekdotische Form geschildert, wie der erste Blitzableiter in unserem Wittenberg errichtet wurde und in welcher der Auftraggeber dazu, der Professor der Naturkunde Titius, genannt wird.
		Titius, das ist die latinisierte Form des ursprünglichen Namens Tietz.
		Für Wittenberg hat Titius sich einen Verdienst durch die Herausgabe des "Wittenbergischen Wochenblattes zur Aufnahme der Naturkunde und des oeconomischen Gewerbes" erworben.
	unterkunft.wittenberg.de /e/seiten/personen/titius.html (376 words)

	Titius-Bode law - Wikipedia, the free encyclopedia
		It was proposed in 1766 by Johann Daniel Titius and "published" without attribution in 1772 by the director of the Berlin Observatory, Johann Elert Bode, thus the name.
		However, some sources say it was first proposed by Christian Wolff in 1724
		As originally stated by Titius, the "law" relates the semi-major axis, a, of each planet outward from the sun in units such that the Earth's semi-major axis = 10, with
	en.wikipedia.org /wiki/Titius-Bode_law (746 words)

	BODE'S LAW AND THE DISCOVERY OF CERES
		Titius, probably because he was by nature self-effacing, not only left his additions unsigned but actually incorporated them in the text itself, with no hint that they were not the original work of the author.
		[19] How Titius could declare that Bonnet had drawn his ideas of unknown planets from Lambert is not clear, though perhaps Titius and Bonnet may have corresponded over the translation; but this reference of Titius to Wolff suggests that Wolff had indeed been Titius's original source.
		It is clear from the wording that Bode is following Titius, although he of course realized that the suggestion that the missing planet was a moon of Mars was preposterous, a fact he emphasized in the third edition of his book.
	www.astropa.unipa.it /versione_inglese/Hystory/BODE'S_LAW.htm (4661 words)

	[No title]
		Gaius and Titius comment as follows: 'When the man said This is sublime, he appeared to be making a remark about the waterfall.
		However subjective they may be about some traditional values, Gaius and Titius have shown by the very act of writing The Green Book that there must be some other values about which they are not subjective at all.
		If by Reason we mean the process actually employed by Gaius and Titius when engaged in debunking (that is, the connecting by inference of propositions, ultimately derived from sense data, with further propositions), then the answer must be that a refusal to sacrifice oneself is no more rational than a consent to do so.
	www.columbia.edu /cu/augustine/arch/lewis/abolition.doc (11856 words)

	Pity About Neptune, by J D Pope (Site not responding. Last check: 2007-11-03)
		To understand why they were disappointed it is necessary to go back to 1766 when a German mathematician, Johann Titius, pointed out that the distances of the planets were in close agreement with a mathematical sequence.
		The addition of Uranus to the table made many astronomers think that after all there might be some validity in the table, which Bode had omitted to attribute to Titius and so it soon became known as Bode’s Law.
		The estimated total mass of all the asteroids does not come any where near the mass of a planet and it is thought that they are material left over from the formation of the solar system rather than the result of a planetary explosion.
	www.projects.ex.ac.uk /nlo/news/nlonews/1996-07/9607-16.htm (832 words)

	DELTA - popularnonaukowy miesięcznik - wybór artykułów (Site not responding. Last check: 2007-11-03)
		The first corroboration of the formula broadly diffused by J. Bode by the end of the 18th century (and therefore often called Titius - Bode's law or rule) was brought by the discovery of Uranus.
		Finally, in very recent times analogous formulas have been found - as a result of amateurish mental entertainment - for the distances of the satellites of Jupiter, Saturn and Neptune from their mother planets.
		Titius - Bode's law exists and this cannot be denied, but neither can we give its explanation now.
	www.mimuw.edu.pl /delta/articles/delta1/cosmic.html (755 words)

	Alachua Astronomy Club: FirstLight Tenth Year -- Cohen 1996 May
		Titius also reflected about the rule's prediction of a yet unknown planet orbiting between Mars and Jupiter.
		Bode also drew further attention to the rule (and to himself) when he used Kepler's harmonic law to predict the orbit period of the unknown planet.
		The discovery of asteroids, beginning in 1801, which showed the average distance of the asteroid belt from the Sun fits the Titius sequence, helped guarantee the rule a place in history.
	www.floridastars.org /9605cohe.html (1214 words)

	buttonBASH! \| Free ROMs, Emulators, Tools, Utilities and Tutorials \| www.buttonbash.com
		Halo_Angel is my woman and im titius i just thought i was logged in when i posted.
		I've been doing a little bit of research and i reckon Titius is telling the truth.
		It would make sense for halo angel and him to post on the same pc and if you check, Him and Halo angel have only had one and the same IP for all 22 of his posts.
	www.buttonbash.com /forums/showthread.php?p=3109 (600 words)

	Plants and Planets, by H.J.R. Perdijk 3/3
		In the 18th century already, Titius (1729-1796) was aware of the interrelation of the planets.
		Titius' method can be linked to the table although initially two differing issues are at stake:
		Yet we can do so, because Titius describes an 'accidental' result of the distances to the sun which had been fixed in the planet orbits through interference of two waves.
	home.planet.nl /~htim/pp/ppc.htm (2272 words)

	Bode-Titius (ley de)
		Johann Daniel Tietz de Wittenberg (1729-1796), conocido con el nombre latino de Titius, estableció una fórmula empírica de la cual se pueden sacar las distancias de los planetas al Sol.
		En 1766, cuando Titius formuló su ley, no se conocía aún ni el cinturón de los asteroides, ni los planetas más allá de Saturno.
		La ley de Titius habría pasado casi inadvertida si no hubiera sido difundida por el astrónomo alemán Johann Bode (1774-1826), por lo cual se desarrolló la costumbre de definirla como la ley de Bode-Titius, aunque algunos incluso hablan simplemente de la ley de Bode, olvidando, de forma un poco injusta, a su legítimo descubridor.
	www.astromia.com /glosario/bodetitius.htm (286 words)

	justus
		What is so astounding about their unmatched compassion for this stranger is that no other Greek text prior to theirs (save Tischendorf's 8th edition) gives him any place.
		n closing, “Titius” is the reading of ONE solitary manuscript, which in all fairness has been CORRECTED to read as does our Authorized Version.
		It is amazing to watch the modern version proponents question certain readings in our AV, which are based on far greater evidence, then at the same time adopt a reading such as “Titius Justus” based on the support of one corrupt manuscript.
	users.vnet.net /avdefense/justus.html (846 words)

	Titius-Bode-Reihe - Wikipedia (via CobWeb/3.1 planetlab2.cs.virginia.edu) (Site not responding. Last check: 2007-11-03)
		Die Titius-Bode-Reihe (auch titius-bodesche Reihe, bode-titiussche Beziehung, bodesche Regel und dergleichen) ist eine von Johann Daniel Titius empirisch gefundene und von Johann Elert Bode bekannt gemachte numerische Beziehung, nach der sich die Abstände der meisten Planeten von der Sonne mit einer einfachen mathematischen Formel näherungsweise allein aus der Nummer ihrer Reihenfolge herleiten lassen.
		Bereits 1723 berechnete Christian Wolff für die durchschnittlichen Abstände der bekannten Planeten eine Zahlenreihe, nach der sich der mittlere Bahnradius der Erde aus zehn Einheiten zusammensetzt und sich für die Planeten Merkur bis Saturn die Werte 4, 7, 10, 15, 52 und 95 ergeben.
		1766 hat Johann Daniel Titius für eine möglichst ähnliche Abstandsreihe eine Formel entworfen.
	de.wikipedia.org.cob-web.org:8888 /wiki/Titius-Bode-Reihe (1000 words)

	AstroNotes - June/July 1996 - Titius-Bode's Law - A Numbers Game (Site not responding. Last check: 2007-11-03)
		With them, the fathers of astronomy - Galileo, Newton and Einstein, among others - helped explain the cosmological mysteries of their day and laid the stepping stones for today's new age astronomy.
		In 1772 Johann Bode drew attention to the earlier work of J.D. Titius.
		Titius helped unravel the mystery of planetary distances from the Sun (by then proven to be at the centre of the solar system).
	ottawa.rasc.ca /astronotes/1996/an9606p3.html (448 words)

	Kepler's Law and Titius-Bode (Bode-Titius) Rule
		There is another "law" concerning the planets but it is only approximate and cannot be derived from other laws.
		It is often called Bode's Law because it was popularized by Bode, but it was actually discovered by Titius.
		It is a rule or formula for finding the orbit radiuses of the planets.
	www.applet-magic.com /bode.htm (548 words)

	Titus, Epistle To (International Standard Bible Encyclopedia) :: Bible Tools
		He is altogether a different person from Titus, Paul's assistant and companion in some of his journeys, to whom also the Epistle to Titus is addressed.
		Titus or Titius Justus was not the "host of Paul at Corinth" (HDB, article "Justus," p.
		"Titius Justus was evidently a Roman or a Latin, one of the coloni of the colony Corinth.
	bibletools.org /index.cfm/fuseaction/Def.show/RTD/ISBE/ID/8816 (369 words)

	Were Titius And Bode Right?
		For a couple of centuries, astronomers have been trying to explain in physical terms why the empirical and very simple formula of Titius and Bode works so well.
		It is only an unimposing geometric progression, which, if one inserts the earth's average distance from the sun, yields the distances of the other planets with enough accuracy to perturb astronomers.
		In the inner solar system, the presence of Mercury is "embarrassing." (Anonymous; "Were Titius and Bode Right?" Sky and Telescope, 73:371, 1987.
	www.science-frontiers.com /sf051/sf051a04.htm (251 words)

	Bode's Flaw and the Structure of the Solar System. Spira Solaris Archytas-Mirabilis I
		PART I. More correctly called the Titius-Bode relationship, the ad hoc scheme to account for the mean distances of the planets from the Sun known as "Bode's Law" was originally conceived by Johann Titius in 1766 and then relegated by the latter (perhaps because of its deficiencies) to the status of a page-note.
		Subsequently revived and popularized by Johannes Bode in 1772, the "Law" correlated well enough with the mean distance of the newly discovered major planet Uranus (1781) and also that of the largest asteroid Ceres (discovered in 1801), but it later failed completely when applied to the mean distances of Neptune and Pluto.
		In reality, the scheme was a dubious combination of two separate ad hoc relationships that was flawed from the outset, as Titius himself was perhaps aware.
	www.spirasolaris.ca /sbb4a.html (1168 words)

	Eros: Historical background (Site not responding. Last check: 2007-11-03)
		Kepler was aware of the extra space and considered that an unkown planet might be there, but nothing came of it at the time.
		In 1766 Johann Titius mentioned a pattern in the arrangement of the orbits out to Saturn.
		In 1778 J.E. Bode gave a simple mathematical expression for the arrangement and also predicted a new planet in the gap between Mars and Jupiter.
	near.jhuapl.edu /eros/history/bode.html (528 words)

	A lei de Titius - Bode
		Foi Titius que da sua lavra introduziu esta parte sem se ter referido a ela como uma "nota do tradutor" (Nieto, 1972).
		Voltemos ao facto da "lei de Titius - Bode" prever as distâncias (médias) Sol – Planetas.
		A partir da descoberta de Plutão a "lei de Titius - Bode" passou então por uma fase de descrédito, que na realidade já se tinha iniciado com a descoberta de Neptuno e, que se estendeu até finais dos anos sessenta.
	www.mat.uc.pt /~helios/Mestre/H34bode.htm (2471 words)

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