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Landmarks in the History of Science » Physics-Astronomy » Titius-Bode Law: [Clear Instruction for the Knowledge of the Starry Heavens] Deutliche Anleitung zur... [Titius' Copy!] 1772

Titius-Bode Law: [Clear Instruction for the Knowledge of the Starry Heavens] Deutliche Anleitung zur... [Titius' Copy!] 1772

Autor: Johann Elert Bode
Cod: 9056
In stoc: Da

Detalii produs

Icarus, the planetary science journal, does not publish papers that provide "improved" versions of Bode's law, or other numerical relations, without a sound physical basis.

The Titius-Bode law led, among others things, to the discovery of the planet Uranus (W. Herschel, 1781). This was the first planet to be discovered since antiquity.

''This latter point seems in particular to follow from the astonishing relation which the known six planets observe in their distances from the Sun. Let the distance from the Sun to Saturn be taken as 100, then Mercury is separated by 4 such parts from the Sun. Venus is 4+3=7. The Earth 4+6=10. Mars 4+12=16. Now comes a gap in this so orderly progression. After Mars there follows a space of 4+24=28 parts, in which no planet has yet been seen. Can one believe that the Founder of the universe had left this space empty? Certainly not. From here we come to the distance of Jupiter by 4+48=52 parts, and finally to that of Saturn by 4+96=100 parts.''

             Johann Elert Bode, 1772, pp. 462-463

''Abstract. The hypothesis of the explosion of a number of planets and moons of our solar system during its 4.6-billion-year history is in excellent accord with all known observational constraints, even without adjustable parameters. Many of its boldest predictions have been fulfilled. In most instances, these predictions were judged highly unlikely by the several standard models the eph [exploded planet hypothesis] would replace. And in several cases, the entire model was at risk to be falsified if the prediction failed. The successful predictions include: (1) satellites of asteroids; (2) satellites of comets; (3) salt water in meteorites; (4) 'roll marks' leading to boulders on asteroids; (5) the time and peak rate of the 1999 Leonid meteor storm; (6) explosion signatures for asteroids; (7) strongly spiked energy parameter for new comets; (8) distribution of black material on slowly rotating airless bodies; (9) splitting velocities of comets; (10) Mars is a former moon of an exploded planet.

Titius-Bode Law of Planetary Spacing































Formula: distance in au


Where It Began – the Titius-Bode Law of Planetary Spacing

In the latter half of the 18th century, when only six major planets were known, interest was attracted to the regularity of the spacing of their orbits from the Sun. The table shows the Titius-Bode law of planetary spacing, comparing actual and formula values. This in turn drew attention to the large gap between Mars and Jupiter, apparently just large enough for one additional planet. Today we know of tens of thousands of 'minor planets' or asteroids with planet-like orbits at that average mean distance from the Sun.

With the discovery of the second asteroid in 1802, Olbers proposed that many more asteroids would be found because the planet that belonged at that distance must have exploded. This marked the birth of the exploded planet hypothesis. It seemed the most reasonable explanation until 1814, when Lagrange found that the highly elongated orbits of comets could also be readily explained by such a planetary explosion. That, unfortunately, challenged the prevailing theory of cometary origins of the times, the Laplacian primeval solar nebula hypothesis. Comets were supposed to be primitive bodies left over from the solar nebula in the outer solar system. This challenge incited Laplace supporters to attack the exploded planet hypothesis. Lagrange died in the same year, and support for his viewpoint died with him when no one else was willing to step into the line of fire.''

            Tom Van Flandern, The Exploded Planet Hypothesis 2000:

Bode's Law Without Venus

''Acting as a respondent to Dr. Nieto at the McMaster University symposium, Dr. C. J. Ransom offered the revelation that Bode's law, which is normally stated

r = 0.4 + (0.3)2n (n= -¥,0,1,2,3...      ),

need only be stated in a slightly modified form and it describes the Solar System without Venus fully as well as the usual statement of the law describes the present system.  Ransom's reformulation of the law:

r = 0.4 + (0.6)2n (n =-¥,0,1,2,3...     ).

According to Ransom, 'It is apparent that the outermost planet in the Solar System can be removed and not affect the equation, or that one planet can be added to the outer extreme of the system without requiring a major reformulation of the Bode equation.  However, it is not generally recognized that the number of objects in the interior of the system can be increased or decreased without altering the basic form of the equation.'

Ransom asserts that the modified equation de-fuses the oft-stated objection to Velikovsky based on Bode's law and on the assumption that the law reflects conditions in the Solar System at the time of planetary formation.  Nevertheless, at the symposium he made it clear that he has no great faith in one's right to deduce anything about physical reality from his revision of Bode's law.  It just shows what you can do when you start playing with these equations."

            Michael Martin Nieto, The Titius-Bode Law and the Evolution of the Solar System, 1974


[Clear Instructions for the Knowledge of the Starry Heavens] Deutliche Anleitung zur Kenntnis des gestirnten Himmels, Hamburg, Dieterich Anton Harmsen, 1772, second edition; engraved frontispiece, xxii, 508 p., 2 leaves of folded tables; foolscap octavo.

Hardcover bound in contemporary brown leather over marbled boards with gilt titles to hubbed spine. Volume is in FINE condition. Binding is well intact and tight. There are two smalls tears to rear endpapers at hinge, but no splits, and no loose or missing pages. Cover shows light overall wear but is clean and square, with no leans or bowing, edges are rubbed, corners lightly bumped. Some light chipping to crown of spine. Free of tears, dogears, and odors. Some universal foxing is present to interior (predominantly to endpapers), otherwise pages remain quite clean and bright throughout. Overall, a very handsome, scarce, and collectable edition of Johann Elert Bode's first book. 

Wax stamp J[ohann]T[itius] [of/von] W[ittenberg] on endpaper 
 Johann Titius' copy.

Price: USD 4,000,000.00