> Hawking radiation would interfere with the eternal orbit
For tractability Hawking radiation tends to be studied using a non-interacting scalar field (often massless), rather than the fields of the Standard Model (which are very much interacting, and have a variety of masses).
Hawking started that in his "Black hole explosions?" (1974) which (if you're not allergic to sci-hub) you can read at <https://sci-hub.se/https://www.nature.com/articles/248030a0>: "consider (for simplicity) a massless Hermitean scalar field \phi which obeys the covariant wave equation ... in an asymptotically flat space time containing a star which collapses to produce a black hole.". In the short paper, he's very much not considering photons or pions, and really doesn't need to in order to make his point.
The thermal spectrum of a real black hole will be in all the Standard Model fields, and except very late in the eventual evaporation will be dominated by very low energy photons originating at a fair distance outside the event horizon.
What do you mean by "eternal orbit"?
Real black holes do not extend to the infinite past. If a black hole ultimately Hawking-evaporates, in finite time there's nothing left to orbit. Late in the evaporation, there will also be a lot of very high energy gamma rays and heavier particles excited in their respective quantum fields of the Standard Model. These will all tend to participate in high-energy multi-particle interactions rather more complicatedly than the end result of Hawking's 1974 description.
Yes, at high energies and with electrons or atomic nuclei nearby.
https://en.wikipedia.org/wiki/Two-photon_physics
> Hawking radiation would interfere with the eternal orbit
For tractability Hawking radiation tends to be studied using a non-interacting scalar field (often massless), rather than the fields of the Standard Model (which are very much interacting, and have a variety of masses).
Hawking started that in his "Black hole explosions?" (1974) which (if you're not allergic to sci-hub) you can read at <https://sci-hub.se/https://www.nature.com/articles/248030a0>: "consider (for simplicity) a massless Hermitean scalar field \phi which obeys the covariant wave equation ... in an asymptotically flat space time containing a star which collapses to produce a black hole.". In the short paper, he's very much not considering photons or pions, and really doesn't need to in order to make his point.
The thermal spectrum of a real black hole will be in all the Standard Model fields, and except very late in the eventual evaporation will be dominated by very low energy photons originating at a fair distance outside the event horizon.
What do you mean by "eternal orbit"?
Real black holes do not extend to the infinite past. If a black hole ultimately Hawking-evaporates, in finite time there's nothing left to orbit. Late in the evaporation, there will also be a lot of very high energy gamma rays and heavier particles excited in their respective quantum fields of the Standard Model. These will all tend to participate in high-energy multi-particle interactions rather more complicatedly than the end result of Hawking's 1974 description.