Phaeton

Phaeton, Phaëton and elsewhere occasionally Phaethon (Phaéthōn) in relation to Greek mythology. Is a word that has the same meaning as Malona in the context of the contact reports, its referring to the same planet. Malona should be read in the first instance as this page, Phaeton, is dedicated towards the meaning of the word Phaeton and the Titius–Bode law formula, rather than towards information pertaining to the planets history or its presence in the contact reports.

Malona

Phaeton is a purely Earth created word, originating from ancient Greece, though perhaps having been handed down to the Greeks. Which later was adopted and subsequently adapted by Heinrich Wilhelm Matthäus Olbers having worked with Johann Daniel Titius's formula, 'Titius–Bode law'. Which is a hypothesis that the bodies in some orbital systems (including ours), orbit at semi-major axes in a function of planetary sequence.

Phaethon,by Gustave Moreau
(6 April 1826 – 18 April 1898)

Greek Mythology

In Greek mythology the name "Phaethon" means "Shining One", it was also given to Phaethon, son of Eos, to one of the horses of Eos (the Dawn), the Sun, the constellation Auriga, and the planet Jupiter. While as an adjective it was used to describe the sun and the moon. In some accounts the planet referred to by this name is not Jupiter but Saturn.

Plato's Timaeus

In Plato's Timaeus, Critias tells the story of Atlantis as recounted to Solon by an Egyptian priest, who prefaced the story by saying:

There have been, and will be again, many destructions of mankind arising out of many causes; the greatest have been brought about by the agencies of fire and water, and other lesser ones by innumerable other causes. There is a story that even you [Greeks] have preserved, that once upon a time, Phaethon, the son of Helios, having yoked the steeds in his father's chariot, because he was not able to drive them in the path of his father, burnt up all that was upon the earth, and was himself destroyed by a thunderbolt. Now this has the form of a myth, but really signifies a declination of the bodies moving in the heavens around the earth, and a great conflagration of things upon the earth, which recurs after long intervals.

Titius–Bode law

The first mention of a series approximating Bode's Law is found in David Gregory's The Elements of Astronomy, published in 1715. In it he says:

"supposing the distance of the Earth from the Sun to be divided into ten equal Parts, of these the distance of Mercury will be about four, of Venus seven, of Mars fifteen, of Jupiter fifty two, and that of Saturn ninety six."

A similar sentence, likely paraphrased from Gregory, appears in a work published by Christian Wolff in 1724.

When originally published, the law was approximately satisfied by all the known planets — Mercury through Saturn — with a gap between the fourth and fifth planets (Malona). It was regarded as interesting, but of no great importance until the discovery of Uranus in 1781 which happens to fit neatly into the series. Based on this discovery, Bode urged a search for a fifth planet. Ceres, the largest object in the asteroid belt, was found at Bode's predicted position in 1801. Bode's law was then widely accepted until Neptune was discovered in 1846 and found not to satisfy Bode's law. Simultaneously, the large number of known asteroids in the belt resulted in Ceres no longer being considered a planet at that time.

The discovery of Pluto in 1930 confounded the issue still further. While nowhere near its position as predicted by Bode's law, it was roughly at the position the law had predicted for Neptune. However, the subsequent discovery of the Kuiper belt, and in particular of the object Eris, which is larger than Pluto yet does not fit Bode's law, have further discredited the formula.

Bode's law was discussed as an example of fallacious reasoning by the astronomer and logician Charles Sanders Peirce in 1898.

Here are the distances of planets in the Solar System, calculated from the rule and compared with the real ones:

Planet	k	T-B rule distance (AU)	Real distance (AU)	% error
Mercury	0	0.4	0.39	2.56%
Venus	1	0.7	0.72	2.78%
Earth	2	1.0	1.00	0.00%
Mars	4	1.6	1.52	5.26%
Ceres1(Malona)	8	2.8	2.77	1.08%
Jupiter	16	5.2	5.20	0.00%
Saturn	32	10.0	9.54	4.82%
Uranus	64	19.6	19.2	2.08%
Neptune	128	38.8	30.06	29.08%
Pluto2	256	77.22	39.44	95.75%

¹ Ceres was considered a small planet from 1801 until the 1860s. Pluto was considered a planet from 1930 to 2006. Both are now classified as dwarf planets.

² While the difference between the T-B rule distance and real distance seems very large here, if Neptune is 'skipped,' the T-B rule's distance of 38.8 is quite close to Pluto's real distance with an error of only 1.62%.

Further Reading

• Malona
• Contact Report 155