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How to calculate max temperature craft needs to withstand near the Sun

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The Solar Probe Plus fact-sheet states that the craft will approach to the distance of 9 solar radii to the surface of the Sun (Approx 6.26e6 km) and its heat shields must withstand 1644K of heat.

I wonder how did they arrive at this number? Based on that, how can I calculate the max temperature an object has to withstand at 3.68e6 km (about 5 solar radii)?

Of course I know that at some point simple formula wouldn’t work as we’ll enter corona.


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