Timeline for Will a mass $m$ rotating around a black hole with mass $M$ form a new black hole together with $M$, at a close enough distance?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 28, 2023 at 11:35 | comment | added | Michael Seifert | @safesphere: "Binding energy" is the amount of energy that would be required to move the orbiting object from its current location to infinity. This is why (as Yukterez noted) the total energy of an orbiting object is less than $mc^2$. | |
| Aug 25, 2023 at 1:35 | comment | added | Ján Lalinský | > they will eventually merge But it will take infinite time, so is "eventually" right here? The two body configuration will effectively freeze before merging. | |
| Aug 24, 2023 at 21:08 | comment | added | Michael Seifert | @Yukterez: Good point. Added a comment at the end. | |
| Aug 24, 2023 at 21:08 | history | edited | Michael Seifert | CC BY-SA 4.0 |
Added comment about binding energy
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| Aug 24, 2023 at 17:28 | comment | added | Yukterez | In principle correct, but the total energy of a particle in orbit is already less than mc², only if its velocity equals the escape velocity its total energy is mc², if it is less the black hole's mass measured at infinity will be less than M+m after the plunge (even when neglecting gravitational waves). | |
| Aug 24, 2023 at 12:47 | history | answered | Michael Seifert | CC BY-SA 4.0 |