View Single Post
  #17 (permalink)  
Old 24-August-2008, 12:26 AM
Hornblower's Avatar
Hornblower Hornblower is offline
Established Member
 
Join Date: Mar 2007
Location: Falls Church, VA (near Washington, DC)
Posts: 1,769
Default

Quote:
Originally Posted by Robert Tulip View Post
Thank you. What the numbers you provide show is that all three planets have overshot by an amount which brings them together again at a point one twelfth of the way further around the ecliptic. The resonances are shown by comparing the periods of each combined planetary cycle: ie Jupiter-Saturn = 19.85 years, Jupiter-Neptune = 12.78 years, and Saturn-Neptune = 35.8 years. These periods recur at 179 year intervals to within 0.2 years. At this general science thread I provide diagrams which illustrate how Jupiter, Saturn and Neptune return to conjunction every 179 years, which seems to me to indicate a resonance. These three planets are always about 31 degrees of arc further around the ecliptic than their positions 179 years ago. These orbital JSN periods produce a clear gravitational pattern in the wave function of the solar system barycentre as shown here.
Thank you. My understanding was that to calculate the gravitational effect of a body on another body, the mass of both was multiplied and the product divided by the square of the distance. Hence, because the sun has disproportionate mass, Saturn's effect on it is actually very close to 29.5% of Jupiter's. (Inverse square law)
You persist is seeing resonances in cases in which the orbital period ratios are only rough approximations of what are needed for a true resonance. Perhaps you should study some references on the topic of orbital resonance, such as this one:
http://en.wikipedia.org/wiki/Orbital_resonance
I know Wiki articles should not be taken as gospel, but this one looks good. Perhaps Tony and others would like to comment.
Reply With Quote