Trisha Shetty (Editor)

Innermost stable circular orbit

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit
Innermost stable circular orbit

The Innermost stable circular orbit (often called the ISCO) is the smallest orbit in which a test particle can stably orbit a massive object in general relativity. The location of the ISCO, the ISCO-radius ( r i s c o ), depends on the angular momentum (spin) of the central object. For a non-spinning object, where the gravitational field can be expressed with the Schwarzschild metric, the ISCO is located at,

r i s c o = 6 G M c 2 .

As the angular momentum of the central object increases, r i s c o decreases. Even for a non-spinning object, the ISCO radius is only three times the Schwarzschild radius, suggesting that only black holes have innermost stable circular orbits outside of their surfaces.

References

Innermost stable circular orbit Wikipedia