Jupiter's Orbital Velocity & Equatorial Velocity cancel?

The original proposition has nothing to do with tidal locking, It is not cranking out irrelevant numbers but pointing out unique relationships between the 2 rotations.
Thank you for the correction: I had reversed the Earth Vr . 46 kms, to .64 , bringing my erroneous result into the 300 000km similar to The Moon's and of Mars. The trio still being together in the ball park of the low 100 000s.
I did not account for the Moons of Mars, but only showed, that the formula (Vo;Vr)xR gives the same value for Mars as it does ~for Earth, and our moon.
The significance? We see distinct classes of these related rotation ratios:
a) Mercury, Venus; ' Zero velocity' zones# form the Sun to Mars; huge,
b) Moon, Earth, Mars, rotating as pivoting at distances of 400 00/300 000 km, the approximate Moon distance
c) Jupiter, Saturn, with cancelled Vo Vr velocities (Cycloid zero points just outside their equator) .
other groups for the outer and inner bodies.

* to explain again : The distance given for the 'zero velocity zone' is the radius of an imaginary circle around a planet that will give the correct rotation , - if the rim moves at the orbital velocity.
 
beil said:
The original proposition has nothing to do with tidal locking, It is not cranking out irrelevant numbers but pointing out unique relationships between the 2 rotations.
Thank you for the correction: I had reversed the Earth Vr . 46 kms, to .64 , bringing my erroneous result into the 300 000km similar to The Moon's and of Mars. The trio still being together in the ball park of the low 100 000s.
I did not account for the Moons of Mars, but only showed, that the formula (Vo;Vr)xR gives the same value for Mars as it does ~for Earth, and our moon.
The significance? We see distinct classes of these related rotation ratios:
a) Mercury, Venus; ' Zero velocity' zones# form the Sun to Mars; huge,
b) Moon, Earth, Mars, rotating as pivoting at distances of 400 00/300 000 km, the approximate Moon distance
c) Jupiter, Saturn, with cancelled Vo Vr velocities (Cycloid zero points just outside their equator) .
other groups for the outer and inner bodies.

* to explain again : The distance given for the 'zero velocity zone' is the radius of an imaginary circle around a planet that will give the correct rotation , - if the rim moves at the orbital velocity.
Click to expand...
OK for Mars we have 24/0.24 x 3390 = 339,000km. The distance of the moons of Mars from the planet is nowhere near this number.

For Jupiter it is 13/12.6 x 70,000 ~ 72,000km. And there are 12 moons, all at different distances.

So what is your point?
 
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AC, Thank you for questioning that . My point is not that all bodies should be confined to these unique distances. but if you look at my abc groupings above, you can see the families of cycloid sizes.
Mars falls into an area where large bodies have one common 'ratioxR' relationship . Yet
There is now no apparent reason why Mars also should have the same cycloid radius as the Earth and the Moon. ~ 300 000+ km-, given the vastly greater separation, and yes,
Jupiter "rolls" on points just 72 000 km above the equator, and so does Saturn. thank you!
that is why this thread is called : ---Vo and Vr cancel ? and has expanded to look at all planets, not just Jupiter, 90% the mass of all of us.
The question is: what is behind these connections? Perhaps hidden as a factor in long known formulae.?
 
EC Apo of Moon 405 000 km close to your value above. Just to mention again, The formula (Vo : Vr) x R gives the distance from the planet at which the 2 velocities cancel, the theme of this thread. It is at surface of the Biggies, J and S, the norm, but vastly different for different planets. telling of interesting connections perhaps.
 
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