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Oh, sorry. My badPeterDonis said:No. The formula you used is for the Schwarzschild radial coordinate, not the altitude above the star's surface.

If you look at the Wikipedia article [1], you will see that the radius of this star is estimated to be 19-41 km. The Schwarzschild ##r## coordinate is not exactly the same as radial distance, but it's close enough that an ##r## value of 3 km is wellinsidethe surface of the neutron star--which means the formula you used is invalid, since it only works in the vacuum region outside the star.

Furthermore, you are completely ignoring what has been said in this thread about the limits on which values of ##r## permit free-fall orbits at all.

You also don't appear to have fully grasped the implications of the Buchdahl Theorem, which I mentioned in post #9, which puts limits on which values of ##r## are possible at the surface of a static object.

I strongly suggest that you take the time to consider fully these items before trying to make up any more scenarios.

https://en.wikipedia.org/wiki/RX_J1856.5−3754