I have a mars-sized "planet" orbiting a superearth-sized mother-planet. There is also another satellite with an abnormal elliptic orbit, but it is of minor concern for now.
This is the resume of their data.
Radius: 11 633 km
Semi-major Axis: 506 687 988 km
Density: 5.730 g/cm³
Mass: 3.61965E+25 kg
Surface Gravity: 18.3g
Daylength: 32.40 earth hours [provisional]
Radius: 3 073 km
Daylength: 32.42 earth hours [?]
Semi-major Axis: 1 113 894 km
Density: 10.373 g/cm³
Mass: 1.26056E+24 kg
Surface Gravity: 8.905g
Radius: 1 799.17 km
Daylength: ~1600 earth days
Semi-major Axis: 1 592 750.00 (elliptical)
Revolution: ~1600 earth days
As you probably noticed, daylength of the satellite is quite short for a satellite, and the revolution is far longer than the daylength, which is very counter-intuitive for a satellite scenario. At first I wanted to use this third body, the second satellite, as an excuse for gravitational perturbation on the system to speedup rotation whilst slowing down revolution, but this would be quite an assumption and would not look nice from a hard sci-fi perspective.
The general question here is:
Which scenario is the most science-friendly:
a) The third body controls the rotational speed of the binary system.
That being the case, what calculations I should use to get it working this 32h/40d scheme?
The parameters of the second body are irrelevant, it can be shrunk and expanded in size as long as it doesn't get past 2k kilometers radius, its orbit can be altered, etc. I don't have an exact desired setup for it, the only requirement is to be small and icy.
b) The satellite is tidally locked to the planet at 32h/32h.
In this case, a 32h revolution seems abnormally fast for a Mars-sized thing orbiting a two-Earth-sized thing. Would this have any serious side-effects?
And what would be the nature of such absurd speed?
c) It's okay to have the 32h/40d system
If so, how I can explain the nature of the system better? All i can think is a newborn planet, that has just been caught by the central planet and didn't have time to be tidal-locked, but considering that it must be inhabited while still in this configuration, this is pretty unlikely, as life needs billions of years to establish.