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1 vote
0 answers
81 views

Photon speed for an observer at the photon sphere [closed]

I am asked to compute the orbital period of a photon, in the Scwarzschild spacetime, at the photon sphere for an observer at the same radius, $r^\star=3M$. I have computed the result, $\Delta T=6\pi M$...
Alexandre Zagara's user avatar
25 votes
3 answers
8k views

Why don't we put satellites into an orbit where there is (almost) no time dilation/contraction compared to Earth's surface?

Consider: On this image, if I understand correctly, the time dilation diagram is shown depending on the height for circular orbits. First in low orbit, time slows down relative to the surface due to ...
Join the party P.A.R.T.Y.'s user avatar
0 votes
0 answers
69 views

Special relativity in orbit

I am writing something for school where I need to calculate the time dilation difference between Earth and Mars. First I calculated the difference from the gravity of the planets itself + that of the ...
Mateo Loral's user avatar
1 vote
0 answers
42 views

How would a super long object orbiting a black hole be affected by time dilation? [closed]

Assume there is a long enough rod orbiting a black hole. Such that the time dilation occurring on the two ends of the rod is noticeably different. So, for example, the end that's closer to the black ...
Jimbanana's user avatar
9 votes
2 answers
1k views

Time dilation in an elliptical orbit

What would be the approach for finding the degree of time dilation for a star at any point in a general elliptical orbit around a supermassive black hole? Ideally I would be looking to work this out ...
ProfRob's user avatar
  • 133k
0 votes
0 answers
32 views

How do (if) the relative paces of time differ in these circular motions?

I) Imagine two equal masses tied tethered together by a rope in empty space. The rotate around their COM in the middle of the rope. The masses don't cause gravity. The masses don't move wrt one ...
MatterGauge's user avatar
0 votes
2 answers
577 views

Time dilation inside International Space Station

SR tell us that inside ISS time is running slower than on the earth. But velocity is relative. We can choose to consider either ISS or earth to be at rest. An observer inside ISS sees the earth ...
elias2010's user avatar
  • 455
0 votes
1 answer
1k views

What is the orbital angular velocity of a satellite?

Angular velocity ω is by definition the runned angle $dθ$ per time $dt$ elapsed: $ω=dθ/dt$. If the time elapsed in a specific point on the earth's surface is $dt$, the dilated time elapsed on ...
elias2010's user avatar
  • 455
-2 votes
1 answer
174 views

Is Sergei Krikalev living slightly in the future, or is his body just younger than it otherwise would have been? [closed]

Due to cosmonaut Sergei Krikalev's time on board space station Mir in Earth orbit, the combined effects of velocity and gravity have caused him to experience an accumulated 20 milliseconds of time ...
Kurt Weber's user avatar
1 vote
1 answer
224 views

Reconciling Wikipedia formulae for time dilation due to gravity and velocity

Wikipedia "Time dilation" shows the formula $\sqrt{ 1-v^2-v_e^2-v_r^2.v_e^2/(1-v_e^2) } $ where v is (perhaps) the 3D speed, $v_e$ is the Newtonian escape speed, $v_r$ is the radial speed. ...
Roger Wood's user avatar
  • 2,403
2 votes
10 answers
913 views

Relative clock speeds of two satellites with same but opposite direction orbits

Naïve reasoning: consider two satellites A and B that are in almost identical but opposite direction orbits, just not colliding. When A meets B, B is going past at a good speed, hence its clock is ...
Cheers and hth. - Alf's user avatar
1 vote
1 answer
229 views

Time dilation in orbit [duplicate]

When orbiting a massive object, perhaps a neutron star, you maintain your altitude while at the same time you are close to a very strong gravitational field. Being in orbit, and being in free fall is ...
frodeborli's user avatar
3 votes
1 answer
204 views

Relativistic effects of an orbit around sun in a different direction than Earth

If I manage to orbit around the sun at the same speed but in a different direction than the earth, will I perceive the time on earth going faster or slower than my own time? And what about people on ...
John Doe's user avatar
8 votes
3 answers
3k views

Why we don't see time dilation in stars orbiting black hole?

We have images of stars orbiting black holes or black holes destroying near stars, but why do we see the stars moving normally? I mean, if time dilation does exist, shouldn't we see that stars slow ...
eli.rodriguez's user avatar
4 votes
3 answers
260 views

Does gravitational time dilation affect apparent mass?

Suppose I'm on a highly elliptical orbit around some massive body. As I get closer, I start to experience time dilation due to the object's gravitational field - time starts passing slower for me than ...
AdamHovorka's user avatar