How does bode law account for the asteroids




















Bode in which matches the distances from the Sun of the six planets then known. It is also known as the Titius—Bode law, as it was first pointed out by the German mathematician Johann Daniel Titius —96 in It is formed from the sequence 0, 3, 6, 12, 24, 48, 96, by adding 4 to each number. The planets were seen to fit this sequence quite well—as did Uranus, discovered in Bode's law stimulated the search for a planet orbiting between Mars and Jupiter that led to the discovery of the first asteroids.

It is often said that the law has no theoretical basis, but it does show how orbital resonance can lead to commensurability. From: Bode's law in A Dictionary of Astronomy ». Subjects: Science and technology — Astronomy and Cosmology. Google Preview. The omission of the Pluto distance has no crucial impact on the result. If the calculations are repeated including Pluto as an ordinary planet, the same qualitative conclusions can be drawn.

Oxford University Press is a department of the University of Oxford. It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide. Sign In or Create an Account. Sign In. Advanced Search. Search Menu. Article Navigation. Close mobile search navigation Article Navigation. Volume Article Contents Abstract. The significance of the Titius—Bode law and the peculiar location of the Earth's orbit.

Oxford Academic. Split View Views. Cite Cite L. Select Format Select format. Permissions Icon Permissions. Abstract Using the Lynch method, we continue the discussion on the statistical significance of agreement between planetary distributions and a power law.

Open in new tab Download slide. Hence we are going to prove or disprove the statistical significance of an agreement between the observed sequence of planetary distances and the power law. In the second step, we perform a Monte Carlo simulation of a series of 10 5 sequences of artificial planetary distances using the formula. Search ADS.

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The only problem was, it was surprisingly small , with a radius just shy of km. Another small planet--a little closer to the Sun--was discovered in and was named Vesta. But the floodgates of asteroid discovery opened wide once photographic cameras teamed up with telescopes with stable equatorial mountings , driven by clockwork. Since the telescope automatically tracked the rotation of the Earth, stars registered as dots: any image stretched into a short line indicated an object moving relative to the distant stars--hence, either an asteroid or a comet.

Many thousands were discovered, catalogued and named, and since the discoverer had the privilege of naming, a large variety of names found their places in the sky. Why didn't all these lumps form one single large planet?

Perhaps because consolidation was disrupted by the big bully of their neighborhood, Jupiter. Many asteroids congregate at the L4 and L5 Lagrangian points of Jupiter and are known as "Trojans," with names related to Homer's account of the Trojan war. And while most asteroids orbit between Mars and Jupiter, some also reach other parts of the solar system.

Earth-crossing asteroids may collide with Earth , a worrisome possibility. The craters of the Moon and on other bodies suggest that large collisions were frequent in the early days of the solar system, when many small objects orbited the sun before most consolidated into a few bigger ones , but even now collisions cannot be ruled out. Known as the Titius-Bode Law, it begins with the sequence 0, 3, 6, 12 etc, where each number after the 3 is double its predecessor Add 4 to each and divide by 10 to arrive at 0.

Mars sits at almost 1. Belief in the law was boosted, though, when Uranus was discovered in very close to the next-predicted distance of



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