Physical sciences: Bode's Law and the Missing Planet

  title={Physical sciences: Bode's Law and the Missing Planet},
  author={Michael William Ovenden},
EXACTLY two hundred years ago, Titius1 published a mnemonic for the mean distances of the planets from the Sun. His rule was where α i is the major semi-axis of the orbit of the ith planet from the Sun. Titius's law represents the distances of the then known planets with an accuracy of a few per cent, provided that (i) for Mercury, we take i= −∞ instead of i=1 and (ii) the orbital i=5 is left vacant. The law made three valid predictions. Uranus (discovered by William Herschel in 1781) fits the… 
3. A Former Major Planet of the Solar System
The asteroid belt has been suspected of being the by-product of a former planet since its discovery. This paper summarizes evidence supporting this asteroidal-planet theory, and uses dynamical
The missing planet
Ovenden's hypothesis suggesting former existence of a planet of 90 Earth masses which supposedly filled the Titius-Bode gap in the asteroid belt and then suddenly disappeared 16 million years ago, is
Bode's Law
M. W. OVENDEN1 has outlined a theory intended to provide a dynamical explanation for Bode's Law. I suggest instead that the approximately constant spacing ratio expressed in Bode's mnemonic can be
A variant of the Titius-Bode Law
The study of the geometric distribution of the planets invariably mentions the Titius Bode law as an attempt to classify their heliocentric distances through a succession of integer numbers. With the
In a planetary or satellite system, idealized as n small bodies in an initially coplanar with concentric orbits around a large central body obeying the Newtonian point-particle mechanics, resonant
The Asteroidal Planet as the Origin of Comets
Recently, M. W. Ovenden has raised seemingly plausible dynamical arguments which suggest that a 90-earth-mass planet existed in the present location of the asteroid belt until 16×106 years ago, and
Cosmogony of the solar system
This report is intended to cover research on solar system origin over the last 4 years. Emphasis has been placed on the physics of planetary accumulation mechanisms, although pertinent references on


Dynamic Relaxation of Planetary Systems and Bode's Law
That an epoch characterized by strong dynamical encounters occurred before the planets relaxed into stable orbits is suggested by the surprisingly large differences between the inclinations of their angular momentum vectors of rotation and those of orbital revolution.