Earth-centered inertial is a way of understanding where things are in space. Imagine you are riding in a car and you want to know where you are. You can use a map to figure out your location, but what if you're in space and there are no maps? Well, the Earth-centered inertial system uses the Earth as a starting point to figure out where things are in space.
The Earth is like a big ball that's spinning around, and everything on it is moving with it. This movement is called rotation. Imagine throwing a ball up in the air. When you throw it, it goes up, but then it starts to come back down. This is because of gravity, which is the force that pulls things toward each other. The Earth's gravity is what keeps everything on it, including us, from flying off into space.
Now, imagine you're on a rocket ship that's flying away from the Earth. The rocket ship is still moving with the Earth, but it's also moving away from it. This movement is called translation. In the Earth-centered inertial system, we use both rotation and translation to figure out where things are in space.
To do this, we use something called an inertial reference frame. This is like a big box that's fixed in space and doesn't move. We can use this frame to measure movement and figure out where things are in relation to the Earth. So, if the rocket ship is moving away from the Earth, we can measure its movement and figure out where it is in the inertial reference frame.
Overall, Earth-centered inertial is a way of keeping track of things in space by using the Earth as a starting point and measuring their movement with an inertial reference frame. It's like using a map to figure out where you are, but instead of a map, we use the Earth and an imaginary box in space.