Could my moons-planet system be stable?

In my fictional world I have selected all parameters to maximize the Hills Sphere of my planet. The planet has three times Earth's mass and it is located in 2 AU from its star that's 1.4 times more massive than our Sun.

I want to have three moons on a 1:2:4 resonance. I also want:

• the first one to be as large as our moon to the sky
• the second 1.5 times larger
• and the third, half our moon's size.

To achieve this I have assumed:

• the first moon having 1.1 lunar radius,
• the second 2.3
• and the third 1.1.

Their orbits are 18, 36, 72 days.

I don't really care about their density and I assumed that their masses are

• 1 lunar mass (probably rocky)
• 3 lunar mass (water or ice world)
• 0.3 lunar mass (probably ice world)

This is my effort to achieve the stability of the system, what parameters should I reconsider to make it more stable? I am willing to change almost everything even the resonance, but I want them to be visible from my planet in the way moon is to Earth.

So any ideas?

posted almost 8 years ago

teorf‭

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