Greg Egan on Nostr: nprofile1q…ufa4k Though not precisely your scenario, the calculations here might be ...
nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqknzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqaufa4k (nprofile…fa4k)
Though not precisely your scenario, the calculations here might be relevant.
These plot the redshift for a falling astronaut as seen, first, by a hovering spacecraft, but then also for three other astronauts who fall in after different delays.
I also plot the redshifts that the first falling astronaut sees look back at the hovering spacecraft, and at the other falling astronauts.
https://www.gregegan.net/SCIENCE/FiniteFall/FiniteFall.html#OFALL
Though not precisely your scenario, the calculations here might be relevant.
These plot the redshift for a falling astronaut as seen, first, by a hovering spacecraft, but then also for three other astronauts who fall in after different delays.
I also plot the redshifts that the first falling astronaut sees look back at the hovering spacecraft, and at the other falling astronauts.
https://www.gregegan.net/SCIENCE/FiniteFall/FiniteFall.html#OFALL