On April 30, 2020 at 8:48 AM "Phil Pugliese - philpugliese at yahoo.com " <xxxxxx@simplelists.com> wrote:
And that's the big mystery of the one, or ones, that G'father, or his clones, created.
Just how did he get them to be stable?
But then it was 'The Ancients' wasn't it?
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On Thursday, April 30, 2020, 01:51:04 AM MST, Vareck Bostrom <xxxxxx@gmail.com> wrote:
It's covered in brief on the wiki page for it:
Simulations of this system[2] (or a simple linear perturbation analysis) demonstrate that such systems are unstable: any motion away from the perfect geometric configuration causes an oscillation, eventually leading to the disruption of the system (Klemperer's original article also states this fact). This is the case whether the center of the rosette is in free space, or itself in orbit around a star. The short-form reason is that any perturbation destroys the symmetry, which increases the perturbation, which further damages the symmetry, and so on.
On Thu, Apr 30, 2020, 1:32 AM < xxxxxx@gmail.com> wrote:
On Wed, Apr 29, 2020 at 6:16 PM Vareck Bostrom < xxxxxx@gmail.com> wrote:
Rosettes are not dynamically stable, even when they are of the same mass.
I kind of thought they would be. What makes them not a stable configuration? Does it require some sort of eccentricity or the action of other bodies in the system to cause the instability?
TomB-----
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