Satellite data:
Name: Melpomene
Orbital period in years: 0.07
Orbital period in days: 24.80
Orbital period in hours: 595.29
Orbital radius (mean) km: 1.63E+9
Satellite diameter, km: 857
Surface g, m/s/s: 0.23
Earth gravities: 0.02
Satellite mass, kg: 638.01E+18
Satellite mass, Earths: 0.00
Satellite volume, m^3: 329.36E+15
Satellite volume, Earths: 0.00
Density, g/cm^3: 1.94

Comments: Melpomene forms the only significant outer middle moon, though many other smaller bodies share the same orbital plane, some of these seem to be impact debris of this moon. The finer debris forms a minor ring system just inwards of Melpomene, though its density is rather insignificant. The moon is greatly made up ice, and is assumed to be a captured icy asteroid brought in from deeper space by Poseidon. Although orbit is irregular, the moon is at too greater distance to receive any appreciable tidal forces, and so no subsurface bodies of water, though it has slush layers like Polyhymnia. Correspondingly their is no magnetic field.

Detailed orbital analysis
Eccentricity, tidal effects, angular velocity

Planetary eccentricity: 0.01
Satellite eccentricity: 0.12
Planetary aphelion m km: 510.78
Planetary perihelion m km: 505.70
Satellite apoapsis km: 1832456.02
Satellite periapsis km: 1427750.39
Satellite angular velocity: 0.00
Planet angular velocity: 0.00
Barycentre from middle of planet, km: 1.86
Tide height caused from moon, m: 0.00
Tide height caused from sun, m: 0.13
Tide height caused on moon from planet, m: 6.80
Planetary axial tilt, degrees: 8.81
Satellite axial tilt, degrees: 6.31
Satellite orbital inclination, degrees: 26.42
Planetary orbital inclination, degrees: 6.88