# Online Calculator: Planetary Spin Theory

Keith Dixon-Roche has given us the the theory of spin in celestial bodies and atoms. This calculator uses this theory to determine the internal structure (Δ) of the force-centres within our own galaxy; the Milky Way.
Isaac Newton's laws of orbital motion and Keith Dixon-Roche's spin theory have enabled us to determine the mass and spin-rate of the Milky Way's force-centre. CalQlator has adopted the name Hades for this unknown body.

Keith Dixon-Roche's Spin Theory

There are three energies generating spin in a force-centre;
E₀ = induced by the force-centre's own orbit
E₁ = induced by the force-centre's own force-centre
(E₂ = total spin energy)
E₃ = induced by the force-centre's satellite.
If you know the force-centre's spin rate (ω), you can calculate its density variation; Δ
If you know the force-centre's density variation (Δ), you can calculate its spin rate; ω
This calculator determines a force-centre's 'Δ' value from its known spin-rate.

## The Calculator

Individual drop-down lists are provided for the force-centres and their satellites.
The properties of all the bodies used in these calculations are stored in the calculator; they are displayed for information only. Altering their values will not change the result.
You select a force-centre from the upper drop-down list and the appropriate satellite list will be generated below.
Press 'F5' to reset the calculator.

Constants:
G: m³ / kg.s²

Force-Centre:

Principal Properties:
mass: kg
period: s
perigee: m
spin-rate: ᶜ/s
spin dir.:

Satellites:

Principal Properties:
mass: kg
period: s
perigee: m
spin-rate: ᶜ/s
spin dir.:

## Calculation Results

The following is a list of the calculation results for the above force-centre; you will notice that the calculated result for 'ω₂' (below) is the same as the input value for the force-centre's spin-rate (above). This comparison is performed for calculation verification only.
{force-centre properties}

Satellites:
K: s²/m³ constant of proportionality
KEᴾ: J sum of Kinetic energies at their perigee
KEᴬ: J sum of Kinetic energies at their apogee
PEᴾ: J sum of potential energies at their perigee
PEᴬ: J sum of potential energies at their apogee
Force-Centre:
δKE: J kinetic energy difference (perigee minus apogee)
E₀: J spin energy induced by its own orbit
E₁: J spin energy induced by its own force-centre
E₂: J total spin energy
E₃: J spin energy induced by its satellites
ω₀: ᶜ/s spin rate induced by E₀
ω₁: ᶜ/s spin rate induced by E₁
ω₂: ᶜ/s spin rate induced by E₂
ω₃: ᶜ/s spin rate induced by E₃
J: kg.m² polar moment of inertia
Δ: internal structure coefficient

## Notes

1) Figure (above): a 'wobbling body' is a force-centre orbiting its own orbital path due to excessive E₃ (e.g. Pluto)
2) Hades spin-rate in these calculations is based upon Keith Dixon-Roche's preferred estimate for the Milky Way's stellar population of 10bn rather than NASA's of 100bn.
3) The gas planets (Jupiter, Saturn, Uranus and Neptune) are simply normal planets that have collected sufficient satellite (lunar) mass to generate the internal [frictional] heat required to melt their crusts. The spin-rate we see is of their gas clouds, not their body-masses. Their rotation rates (ω) and radii (r) have therefore been revised accordingly.