The Talkshop has an interest in orbital periods, spin-orbit coupling, the equalisation by nature of the gaps between objects.
Rotational properties of the binary and non-binary populations
in the trans-Neptunian belt
A. Thirouin, K. S. Noll. J. L. Ortiz, and N. Morales
Published online 8th Sept 2014
Astronomy & Astrophysics (early access on registration)
http://dx.doi.org/10.1051/0004-6361/201423567
Abstract
We present results for the short-term variability of binary trans-Neptunian objects (BTNOs). …
A second older paper may be of interest
CHARACTERIZATION OF SEVEN ULTRA-WIDE TRANS-NEPTUNIAN BINARIES
Alex H. Parker, JJ Kavelaars, Jean-Marc Petit, Lynne Jones, Brett Gladman, Joel Parker
Version 2 published late 2011
The Astrophysical Journal, open access copy, http://arxiv.org/abs/1108.2505v2
http://dx.doi.org/10.1088/0004-637X/743/1/1
These far solar system objects have rapid periods which makes it practical to analyse many in a relatively short timeframe.
The first paper provides list of basic information on many objects.
A question is whether the possible phi relationships suggested on the Talkshop for the major solar system bodies holds for far and tiny objects, systems within systems.
Post by Tim
Tallbloke's Talkshop 
The binary ones have average rotation period of 10.1 hours, which is the average of Jupiter and Saturn rotation periods.
A 2007 analysis of binaries in the Kuiper belt:
Click to access Noll_Binaries.pdf
They discuss three models of the origin of binaries i.e. capture, collision and hybrid, and say:
‘At the extreme of small separation are bilobed objects
and contact binaries. Sheppard and Jewitt (2004) proposed
that the TNO 2001 QG298 may be a very close, possibly
contact, binary based on its large-amplitude lightcurve
(1.14 mag) and its relatively slow rotation (13.77 h).’
More about this pair of objects – video and article – here:
The rotation period is close to 5:4 with Uranus (17.11 h):
17.11 x 4 = 68.44h
13.77 x 5 = 68.85h
(less than 0.5 h difference)
– possibly meaning they are governed by the same factors.
Its rotation period is also about double that of a similar object.
‘624 Hektor is the largest Jupiter trojan’:
http://en.wikipedia.org/wiki/624_Hektor#Contact_binary_plus_moon
So the rotation speeds of these binaries is in the same (billiard) ballpark as the gas giants.
Spock raises eyebrow
“Fascinating”
There’s something about distance and density which works in opposite direction to mass to produce these similar rates.
I think it was Herschel who noted that some of the major planets densities were in approximate inverse relation to distance from the Sun.
This one is about 2:1 with Saturn’s rotation period and 3:1 with Neptune’s:
‘Kleopatra is a contact binary – if it were spinning much faster, the two lobes would separate from each other, making a true binary system.’
http://en.wikipedia.org/wiki/216_Kleopatra
Lacerda’s paper on 2001 QG298 says:
‘Furthermore, the exact shapes of the binary
components, their mutual orbit period (≡ spin period), and
their density are all interdependent. The practical result is
that the density can be inferred from the spin period and
the component shapes‘
Click to access 2011QG298Lacerda.pdf
Aha! Good find. Hmmmm…
tallbloke says: September 22, 2014 at 12:53 pm
“So the rotation speeds of these binaries is in the same (billiard) ballpark as the gas giants.
Spock raises eyebrow “Fascinating”
There’s something about distance and density which works in opposite direction to mass to produce these similar rates. I think it was Herschel who noted that some of the major planets densities were in approximate inverse relation to distance from the Sun.
Roger,
Think Fibonacci. not the fake interger version, but the true equation for the linear triplet . Fib(n-1) plus Fib(n) equals Fib(n+1). Fib(n)/Fib(n) must be unity, always.
So Fib(n-1)/Fib(n) plus Fib(n)/Fib(n) equals ” Fib(n+1)” equals Fib (n) / Fib(n-1) always.
That is the golden section ratio. Please note this is the exact formula between x and 1/x, in this near universe! It is the mathematical relation between (all) and the reciprocal (1/all).
In this unirverse it is the relationship “between time and frequency” or cycles per cm and wavelength. Please understand that any approch is very chiral, and the inverse is very opposite to that chiral, from any POV! This universe is cyclic never linear
Will, thanks, that’s an interesting way of putting it. I suspect it may relate to the fact that the inverse of the period of Jupiters orbit = the average rotation rate of the Sun.