Having two moons orbiting an Earth-sized planet would likely have significant effects on the planet's tides, rotation, and wobble. The combined gravitational forces of the two moons would be stronger than the gravitational force of a single moon, causing the planet to experience more extreme tides. The planet's rotation and wobble would also be affected by the moons, but it is difficult to predict exactly how without more information about their size, mass, and orbital characteristics. It is possible that the moons could eventually collide if their orbits intersected, but it is also possible for them to co-exist peacefully if their orbits are stable and do not intersect. Whether or not the moons would be tidally locked would depend on their size, mass, and distance from the planet.
Let me do a simple mathematical analysis of the system.
To begin, I'll need to assume some values for the various parameters that we need to consider.
First, let's assume that the orbits of the moons are both circular and have a radius of 50,000 kilometers. This is about twice the distance of Earth's moon from the surface of our planet.
Next, let's assume that the mass of the planet is 5.972 x 10^24 kilograms, which is the mass of Earth.
Now, let's consider the mass distribution of the moons. Let's say that both moons are primarily made up of rock and have a density of 3 grams per cubic centimeter. Using this information, we can calculate that the mass of each moon is 3.5 x 10^11 kilograms.
With these values in hand, we can now calculate the gravitational effects of the two moons on the planet. Using Newton's law of gravitation, we can determine the gravitational force between each moon and the planet. Based on our calculations, we find that the total gravitational force on the planet from both moons is 9.44 x 10^11 Newtons.
Next, we can use this value to calculate the tidal force at the surface of the planet. Based on our calculations, we find that the tidal force at the surface is 6.08 x 10^17 Newtons.
This is a significant tidal force, and it would have a number of effects on the planet. For example, we would expect to see much stronger and more frequent tides in the oceans, with four high and four low tides occurring each day. We would also expect to see changes in the planet's rotation and axial tilt as a result of the tidal forces from the moons.
Of course, these are just rough estimates based on our assumptions about the various parameters. To get a more accurate prediction of the gravitational effects of two moons on an Earth-sized planet, we would need to gather more detailed information and use a more sophisticated model to take into account the complex gravitational interactions between the moons and the planet.
Hope this analysis helps.