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Imagine if we put some radio telescopes on Mars and ran a baseline between Mars & Earth.

We'd get the largest baseline when the Sun is between the planets. This of course blocks interplanetary communication.

Another commenter mentions the 0.5 mm precision needed[0] - how would we overcome the communications issue to get an accurate measurement?

[0]https://news.ycombinator.com/item?id=17171476

How long of a time would the Sun be blocking the Earth from Mars?

I imagine the same way the article's array does: with an (interplanetary) version of sneakernet [0], taking independent measurements which are then delivered to be correlated in one place.

I think you could keep atomic clocks on Mars and Earth in sync with extremely accurate calculation of the Earth-Mars distance at any time, and thus the propagation delay between them.

EDIT: only one star!!

[0] https://en.wikipedia.org/wiki/Event_Horizon_Telescope#/media...

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