**Epimetheus** and **Janus** are two Satellites of **Saturn** that chase each other.

Each Satellite, individually taken, would move in Perfect Motion…

the revolutions of the two satellites, which share approximately the same orbit, are instead affected by a **mutual interaction** that implies a **variation** on the **Spin and gravitational forces** acting on the Satellites.

The problem, dealt in an Aristotelian way, has a simple solution:

the Spin determines the orbital speed of the satellites… and (in a Perfect Motion) the ratio between speed and gravity of satellites is a **constant **depending on the Planet.

Then, considering (to simplify) just the variation on the Spin acting on the Satellites, in the phase of proximity

- the Spin force acting on the
decreases… then the gravity works more on the Satellite, pushing it towards a more internal and faster orbit (*“Satellite that precedes”***a fall**) - the Spin force acting on the
increases… then the gravity works less on the Satellite, that gradually shifts towards a more external and slower orbit (*“Satellite that follows”***an escape**)

After the phase of proximity, when the mutual interaction between the Satellites disappears, they find themselves in two orbits not exactly of their competence, then the ** “Satellite that preceded”** begins slowly to open its orbit, the

**to close it… and then they meet again with alternate roles.**

*“Satellite that followed”*The exchange of the orbits (as well as the tadpole orbits for trojan asteroids) is a **stable phenomenon**… two Satellites could share, in case, the same orbit, but they should never interact with each other… just a precarious equilibrium, not likely in Solaris*.

********Solaris** ⇨ Solar System

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this page is extracted from the eBook **Theory of Spherical Vortices**

you can buy **Theory of Spherical Vortices** on Lulu.com

a beautiful theory, an engaging reading

The Dance of Epimetheus and Janus

September 19, 2019