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Related to tracking radars, conical scan and monopulse tracking has got to rank among the best brilliantly simple ideas: https://en.wikipedia.org/wiki/Monopulse_radar

A monopulse tracking radar can track a target within hundredths of a degree, with no more than a handful of components. You can build a monopulse sonar with two opamps.

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The rule of thumb that seems to be common among my peers is that monopulse offers an angle accuracy improvement of roughly 10 to 1 for objects with nominal SNR (13ish dB).

So a radar with a real beam width of 1deg employing monopulse would result in an accuracy of 0.1deg if the object can be reliably detected.

Interesting. I've been out of this field for 20 years, and the hundredths of a degree came from my fuzzy memory. Happy to defer to your more recent knowledge.

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