I found Katherine Johnson's actual calculations at NASA
Tibees Tibees
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 Published On May 14, 2022

A journey through the NASA archives to look at the first report to include Katherine Johnson's name. This video is intended to provide a glimpse of the kind of work involved, you aren't expected to fully understand the equations without studying the paper in-depth for yourself.
NASA Archives - Determination of Azimuth Angle at Burnout for Placing a Satellite Over a Selected Earth Position: https://ntrs.nasa.gov/citations/19980...
Wolfram Blog - Hidden Figures: Modern Approaches to Orbit and Reentry Calculations: https://blog.wolfram.com/2017/02/24/h...

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