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bolbuyk

Member

From: Utrecht, Netherlands

Registered: 2004-04-07

Posts: 178

Re: Space cycles and Resonance

Working on with the conclusion there is resonance in the synodic periods of Mars and Venus, I concluded that the tilt of 144 degree every time the relative positions Mars, Venus and Earth match can be multiplied by 5 to obtain 2 go arounds. This makes the conclusions three planets (Venus, Earth, Mars) have a resonance of 52:32:17. In other words: Every 32 years the same position of these three planets returns. This is true with a deviation of less than .2%. The resonance between Venus and Earth is very elegant 8:13, not described more precisely by natural numbers with a sum of 200 or less (it didn't seem usefull to calculate on, because of significance). The deviation of 8:13 is less than .02%!

Taken the fact of Venus's resonance, and the fact mentioned earlier on this forum that a Hohmann-trajectory Venus-Mars has about the same duration of an orbit around Venus, the fact that the Venus-Mars resonance comes near 1 to 3, is it a good idea to set up a set of space-cycles Earth-Venus and Venus-Mars? The perihelion for a Earth-Venus space cycle will just have to regress 16 minutes a year to keep in touch with Earth and Venus (every 8 Year a transfer, which is quite more than obtaineble by a space-cycle Earth-Mars). Two cycles Venus-Mars will provide a very regular service every Mars-year with both a to and a back transfer. It's perihelium has to regress 3.6 degrees each year, which (I think) must be possible by Venus-fly-by's.

In orbit around Venus there will be a space-station, which is the waiting-room passengers who change from one cycle to the other.

It seems a little clumsy, always via Venus to Mars, but the regularity of this sytem seems to be charming. :laugh:

dicktice

Member

From: Nova Scotia, Canada

Registered: 2002-11-01

Posts: 1,764

Re: Space cycles and Resonance

bolbuyk: That's amazing--Astounding, really-- because that is just what the "Venus Equilateral" stories by George O. Smith, printed in Astounding Science Fiction magazine were about, back in  the 1940's: A space station orbiting Venus, for the purpose of relaying messages between Earth and Mars when the Sun got in the way. The stories, concerning pre-maser/laser electronics in the vacuum of space, are now available in a single hardcover volume, and great fun to re-read.

bolbuyk

Member

From: Utrecht, Netherlands

Registered: 2004-04-07

Posts: 178

Re: Space cycles and Resonance

Calculating on these space-cycles I think it will not be a very fruitfull idea. For a given number of cyclers, the gain in frequence when going via Venus is slight, but there is a increase in average travel-time. It's about 1.9 years when 5 Earth-Venus cycles and 2 Venus-Mars cycles are used. Then 7 Earth-Mars cycles are preferable.