Optimal configuration

• Repulsion of bodies
• Adaptability of bodies
• Principle of minimal interaction

Repulsion of bodies

Gravitational attraction of bodies has one quite bit paradoxical consequence. Bodies on orbits (around central body) repulse each other. This phenomenon results from principle of conservation of angular momentum (Alfven).
Electrons on orbits also repulse each other. They have the same charge...

Adaptability of bodies

When smaller body moves close to greater body (or more bodies), it is forced to adapt to repulsion forces. According to circumstances one of these possibilities takes place:
Smaller body tries:

• move the same way as greater body (trivial resonance)
• synchronize its motion with other bodies (synchronizing resonance)
• to change ellipse of orbit (resonance of eccentricity)
• to change inclination of orbit (resonance of inclination)
• to change direction of motion (backward motion)

If no possibility succeeds, body leaves its orbit (is thrown away) or comes to pieces (is disrupted).
See Resonance.

Principle of minimal interaction

After long interaction, bodies form an optimal configuration and move such a way, that certain summary characteristic has extreme.
(According to Moltchanov such synchronization would appear even from action of very week forces.)

For some subsystems of solar system (Io-Europa-Ganymed, satellites of Uranus) Ovenden principle (i.e. variational principle of celestial mechanics) was proved. [Ovenden,1974]. Ovenden principle fails for outer planets.

• Ovenden,1974: Ovenden, M.W., Feagin, T., and Graf, O., "On the principle of Least Interaction Action and the Laplacean Satellites of Jupiter and Uranus," Celestial Mechanics Journal, 8(4), 455-471 (1974).