Armstrong, who passed away in his native OH in 2012 aged 82 years, made history as the first man to walk on the moon on July 20, 1969.
Featured in the auction are items which were taken to the moon including a series of flags - representing not only the U.S. but also the United Nations and a number of individual American states.
Pieces of a wing and propeller from the Wright Brothers Flyer that Armstrong took with him on Apollo 11, as well as a gold pin from Gemini 8 - Armstrong's first spaceflight - and his Boy Scouts Cap will also be auctioned.
More than 40 years after Apollo 11 landed on the moon for the first time, NASA has started to identify likely sites for its next moon landing circa 2020, ahead of its attempts to send humans off to Mars.
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The Lib Dems voted against the government alongside Labour, the SNP and some pro-EU Tories , but the government won by 307 to 301. Pressure has been building on both Mr Lewis and Conservative chief whip Julian Smith , who have both apologised to Ms Swinson.
Other items that went to the moon with Armstrong include a USA flag, the largest size typically flown during Apollo missions; a United Nations flag; various state flags; and some Robbins Medallions. Armstrong's collection also includes a rare gold medallion.
"I think he would be pleased to be remembered as being part of a program that demonstrated wonderful things can be achieved when people come together to dedicate themselves towards a common goal", his son Rick Armstrong said.
Armstrong's private collection of artifacts and memorabilia came to be set up for auction after the items were taken over by the astronaut's sons, Mark and Rick, upon their father's passing in 2012.
The brothers eventually turned to Collectibles Authentication Guaranty (CAG), a Florida-based company of the Certified Collectibles Group, which authenticated the artifacts.
Armstrong, who lives in suburban Cincinnati, said his father did keep all of his "flown" items together.
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