Other
Scientific paper
Mar 1914
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1914natur..93q..33b&link_type=abstract
Nature, Volume 93, Issue 2315, pp. 33 (1914).
Other
Scientific paper
THE prominence you give to M. F. Ollive's note in Comptes rendus, tome 157, No. 26, induces me to point out that M. Ollive's so-called empirical formula is really a simple statement about the densities of the planets. The formula is r3 = kRR'v'2, where r is the mean radius of any planet, R its mean distance from the Sun, R' the mean distance of any satellite from its primary, and v' the mean orbital velocity of the satellite. v'2R' for any satellite can be replaced by γM, where γ is the gravitation constant, and M is the mass of its primary, since we can ignore the mass of the planet as compared with its primary. We get then r3 = k'RM, where k' is a new constant. But M = 4/3πρr3 where ρ is the mean density of a planet. Thus we get Rρ = constant. This is what M. Ollive's formula amounts to. In other words, his formula does not derive any generality by the introduction of the satellites. The fact that his results for the various satellites of any given primary agree inter se is merely Kepler's third law.
No associations
LandOfFree
The Densities of the Planets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Densities of the Planets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Densities of the Planets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1213880