Wolff in 1724. In 1764, C.
The subsequent discovery of the Kuiper belt – and in particular the object , which is more massive than Pluto, yet does not fit Bode's law – further discredited the formula. == A possible earlier version == In 1760 Tomàs Cerdà taught a renowned astronomy course, which led to a textbook Tratado de Astronomía. In Tratado de Astronomía, Cerdà obtaines the planetary distances from the orbital periods by applying Kepler's third law, with an accuracy of 10−3 .
Wolff in 1724. In 1764, C.
Bonnet wrote: "We know seventeen planets [that is, major planets and their satellites] that enter into the composition of our solar system; but we are not sure that there are no more." In his 1766 translation of Bonnet's work, J.D.
Next to this for us still unexplored space there rises Jupiter's sphere of influence at 4+48=52 parts; and that of Saturn at 4+96=100 parts. In 1772, J.E.
Vikarius (Johann Friedrich) Wurm (1787) proposed a modified version of the Titius-Bode Law that accounted for the then-known satellites of Jupiter and Saturn, and better predicted the distance for Mercury. The Titius-Bode law was regarded as interesting, but of no great importance until the discovery of Uranus in 1781, which happens to fit into the series nearly exactly.
, the largest object in the asteroid belt, was found at Bode's predicted position in 1801. Bode's law was widely accepted at that point, until in 1846 Neptune was discovered in a location that does not conform to the law.
, the largest object in the asteroid belt, was found at Bode's predicted position in 1801. Bode's law was widely accepted at that point, until in 1846 Neptune was discovered in a location that does not conform to the law.
In 1898 the astronomer and logician C.S. Peirce used Bode's law as an example of fallacious reasoning. The discovery of Pluto in 1930 confounded the issue still further: Although nowhere near its predicted position according to Bode's law, it was very nearly at the position the law had designated for Neptune.
He noted that Blagg herself had suggested that her formula could give approximate mean distances of other bodies still undiscovered in 1913.
In addition, another of Blagg's predictions was confirmed: that some bodies were clustered at particular distances. Her formula also predicted that if a transplutonian planet existed, it would be at ~68 AU from the Sun. ===Comparison of the Blagg formulation with observation=== Bodies in parentheses were not known in 1913, when Blagg wrote her paper.
In 1898 the astronomer and logician C.S. Peirce used Bode's law as an example of fallacious reasoning. The discovery of Pluto in 1930 confounded the issue still further: Although nowhere near its predicted position according to Bode's law, it was very nearly at the position the law had designated for Neptune.
This is because the low values of constant B in the table above make them very sensitive to the exact form of function f. ==Richardson Formulation== In 1945 D.
Despite these types of allowances, the number of planets found with Titius–Bode law predictions was lower than expected. In a 2018 paper, the idea of a hypothetical eighth planet around TRAPPIST-1 named "TRAPPIST-1i," was proposed by using the Titius–Bode law.
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