The rare, large stone is the top lot at the forthcoming sale.
The cherry-red rarity could reach $200,000 at Bonhams’s annual Bond Street sale.
NASA’s second space flight program, Project Gemini, ran from 1961 to 1966.
Bonhams will offer the 1963 Lincoln that took the first couple to their flight for Dallas and the phone Kennedy used to make his last call.
Although estimated to fetch as much as $70,000, the rare motorcycle is being offered without reserve.
The Bonhams online sale is open from now until April 29.
Bonhams is set to auction off one of the finest collections of production and racing motorcycles anywhere in the world.
The three rare examples span almost 60 years of the marque’s history.
The 180 hp roadster is of only 11 examples of the model known to retain its original bodywork.