Spaceship orbiting a black hole under the event horizon - a prison where no one escapes

The relationship between the distance, $d$, of the event horizon from a black hole's center and the tidal acceleration, $a$, experienced by an object near a black hole allows for scenarios in which a human could - assuming no other forces than gravity - cross the event horizon un-spaghettified.

In fact, the tidal acceleration experience by a 2 m tall person near (100 km from) the event horizon of a black hole of 100 million solar masses is only:

$$a =2\cdot(6.67*10^{-8})\cdot(1.9*10^{-41})\cdot{200}/{(2.95*10^{13})^{3}} = 0.00020 \text{ cm/s}^2$$

(The event horizon has a radius of $295$ million km)

My question is the following:

Given the black hole at the center of S5 0014+81, with an estimated mass of $40$ billion solar masses, would it be feasible to have a spaceship survive, for a time, in a decaying orbit below the event horizon?

If so, what would it be like to be inside that spaceship, and how long would that orbit last? (in their FOR)

I want this spaceship to be an ULTRA high security prison where there is no hope of escape due to the laws of the universe.

Fun fact,

This black hole is estimated to live to be somewhere around $1.342*10^{99}$ years old before it dissipates by the Hawking Radiation. (wow!)

posted almost 7 years ago

Austin A‭

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