A Close Correlation between Third Kepler Law and Titius-Bode Rule

Details A Close Correlation between Third Kepler Law and Titius-Bode Rule A Close Correlation between Third Kepler Law and Titius-Bode Rule

2009-03-10

arxiv.org/abs/0903.1732v1

Physics

General Physics

4 pages, no figures

Scientific paper

In this work we present a close correlation between third Kepler law and Titius-Bode empirical rule. Concretely, we demonstrate that third Kepler law, or, corresponding equilibrium condition between centrifugal and Newtonian gravitational force, implies that planet orbital momentum becomes effectively a function of the planet distance as unique variable and vice versa. Then, approximation of the planet distance by its first order Taylor expansion over planet orbital momentum holds an exponential form corresponding to Titius-Bode rule. In this way it is not necessary postulate exponential form of the planet distance (as it has been done by Scardigli) but only discrete values of its argument. Physically, it simply means that, in the linear approximation, "quantized" planets orbital momentums do a geometrical progression.

Affiliated with

Also associated with

No associations

Rating

A Close Correlation between Third Kepler Law and Titius-Bode Rule 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 A Close Correlation between Third Kepler Law and Titius-Bode Rule, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Close Correlation between Third Kepler Law and Titius-Bode Rule will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-186986