# Orbital geometry: a Titius/Bode + Lagrange connection?

Discussion in 'Astronomy, Exobiology, & Cosmology' started by nebel, Feb 16, 2018.

1. ### nebel

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Naive question : Since in the Bode sequence, very basically a geometric progression of orbital diameters,
The next orbit out is the same distance as the planet to its Lagrangian point 3. and
Lagrangian points are areas where matter is fond of congregating, is the doubling (2R) of planetary orbits just another expression of Lagrange's seminal work? perhaps
Starting with Jupiter working outward and inwardly, L3 distance projected into the pre -planetary disk?
Lagrangian Point 3 projected Orbits?

If you don't know whether to laugh or cry, one way or another, you read it first on SF. and move it where it belongs please.

LP3O "law":
The orbit sizes of adjoining planets are [almost always *] equal to their distance from their L3 position.**

* except when it equal to 1/2 distance to LP3 or R. (see Neptune). and below Venus if orbit radius would be < .3 AU.
** at least in the Solar system.
In other words.
Once a large body starts to form in the star's disk, the following accretions will fall into the L3, or R distance value.
There might be still more grains of truth to glean in Lagrange's grange = french for grenier, silo, barn.

Last edited: Feb 16, 2018

3. ### nebel

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looking at the real numbers, these are very approximate ratios, but come very close in the outer planetary orbits, 3% scattering for Pluto. for example. so
out there, the planets are arranged in Lagrangian orbit spacings. arranged in a Langraian grid.

5. ### ForcemanMay the force be with youRegistered Senior Member

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• Please post on-topic. Also try to post something that makes sense.
As in a constant pressure K applied to as in K prop. to a constant with zero space to a mature planet such as Venus then red shine as not seen as redshift.

7. ### nebel

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I have no idea what you are referring to. If it applies in any way to Lagrange, Titius, please elaborate. Venus spins backward though. thank you.

8. ### originIn a democracy you deserve the leaders you elect.Valued Senior Member

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If this is a bot it is a terrible bot, complete nonsense. If it is not a bot - yikes.

9. ### nebel

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agreed, take it down.

10. ### originIn a democracy you deserve the leaders you elect.Valued Senior Member

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Report them if you want.

11. ### nebel

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1,907
no, I thought you meant the theme of the thread. I thought someone is watching out over all the contents.
I found it intriguing, that the distances of the Lagrange points are also the ones that show up in the spacings of the orbits. worth looking at.