How Did They Find the Secret Space Lab in Captain Marvel?

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How Did They Find the Secret Space Lab in Captain Marvel?
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We explain the science.

. Let me just get to the important stuff with minimal spoilers. Carol Danvers is a superhero and she knows the coordinates of the secret Mar-Vell lab. When some other people finally get these coordinate numbers, they figure it out. They don't give the location of the lab, they give the state vectors for the lab.

For a simple case like an oscillating mass, the state space plot doesn't really give you anything you couldn't get from the position-time plot. But what if it's not simple? What if it's a more complicated system. The following are plots for a damped, driven oscillator. That means there is some type of drag force to slow it down, but there is also something pushing it .The classic position-time plot keeps going on forever.

Even if you assumed an object had a flat orbit in the x-y plane, that would still be two coordinates for position and two for velocity—a 4D plot. Oh but I'm going to make one for you anyway. One way to get this to work is to make two state space plots—one for the x vs. v. I didn't want it to be boring, so this is for a non-circular orbit around the Earth.

In fact, objects like the International Space Station do have some extra small interactions with the Earth's atmosphere. Even at an altitude of 400 km , there is a tiny bit of air. As the space station moves through this tiny amount of air, there is a backwards pushing force that decreases the velocity . Wait! It's even worse. The amount of air drag on the space station changes over time as the atmosphere expands and contracts with changes in weather.

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