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No, I'm saying you're within the planet's reference frame, and the gravity of the black hole is consistent. According to the article, the orbiting spacecraft isn't as close as you think it is, and is assumed to be in a high orbit. Keep in mind that the effects of gravity are directly related to the mass of the objects that are interacting. As Newton's Law of Universal Gravitation states:
Any two bodies in the universe attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
This means that not only is gravitational strength lessened by the size of the interacting objects decreasing, it's also lessened dramatically by the distance between the objects. As a result, the gravitational effect on the planet is much greater than the gravitational effect on the ship. The closer you move to the black hole, the deeper the spacetime "well" is, and the more prominent the dilation effects are. In this instance, it helps a great deal to understand what inverse-square law is.
Another force which follows this law is magnetism. It has an exponentially weaker force the further two magnets are from each other. However as they approach, the force gets exponentially stronger.
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[–] SkepticalMartian [S] ago (edited ago)
No, I'm saying you're within the planet's reference frame, and the gravity of the black hole is consistent. According to the article, the orbiting spacecraft isn't as close as you think it is, and is assumed to be in a high orbit. Keep in mind that the effects of gravity are directly related to the mass of the objects that are interacting. As Newton's Law of Universal Gravitation states:
This means that not only is gravitational strength lessened by the size of the interacting objects decreasing, it's also lessened dramatically by the distance between the objects. As a result, the gravitational effect on the planet is much greater than the gravitational effect on the ship. The closer you move to the black hole, the deeper the spacetime "well" is, and the more prominent the dilation effects are. In this instance, it helps a great deal to understand what inverse-square law is.
Another force which follows this law is magnetism. It has an exponentially weaker force the further two magnets are from each other. However as they approach, the force gets exponentially stronger.
[–] fgutrfgu ago
In a high orbit of the planet ... would change nothing.
They are both within the blackhole's system (starsystem, holesystem?) and as such would be (as you rightly say) in the same reference frame.
The planet itself would not have enough gravity to dilate time in this way, and if it did it would surely squish all the folks on its surface.
Is there something missing here?