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At what exact date and location does Mercury appear at the highest altitude from Earth in history?

Yes, 27.8 is the maximum that can be achieved. calculates this from the eccentricity of the orbit of Mercury: $$\sin β = a(1+e)/(1\, \text{AU})= 0.467,\ β = 27.8°$$ For Mercury a=0.387 and ...
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