Christie's, a global auctioneer headquartered in London, is selling several of Hawking's papers, including his dissertation, thesis on the origins of the universe and his spectrum of wormholes.
The items - part of a science sale that includes papers by Isaac Newton, Charles Darwin and Albert Einstein - will be on display in London for several days from October 30.
"...[G] iven his extensive travels to conferences and public events, as well as the scope of his intellectual explorations of space-time, this is arguably both literally and metaphorically the most-travelled wheelchair in history", notes the auction house, humorously observing that Hawking "was even renowned for being a rather wild driver".
Hawking's wheelchair will also be auctioned off, with the proceeds going toward the Stephen Hawking Foundation and the Motor Neuron Disease Association.
"The lots selected for sale highlight Professor Hawking's remarkable achievements in science alongside his unique personality and inspirational life story", Thomas Venning, Head of the Books and Manuscripts department, said in a statement.
The motorized device, circa late-1980s to mid-1990s, is the earliest surviving example of Hawking's collection of wheelchairs, on which he relied since the end of the '60s.
At the age of just 22, he was diagnosed with a rare form of motor neurone disease and given just a few years to live.
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Christie's hopes to fetch between £10,000 and £15,000 for it during the sale which opens on October 31. This is one of five known copies of Hawking's 117-page thesis, and its estimated value is between $126,000 and $189,000.
Prof Hawking died at his Cambridge home on March 14, aged 76.
As the disease progressed, Hawking began using a wheelchair and communicating with others using a voice-generating computer.
"We are also giving admirers of his work the chance to acquire a memento of our father's extraordinary life in the shape of a small selection of evocative and fascinating items".
A Book, written and corrected with handwritten annotation by Stephen Hawking is one of the personal and academic possessions of Stephen Hawking, photo behind, on display at the auction house Christies in London, Friday, Oct. 19, 2018.
A bomber jacket Hawking wore in a 2016 documentary, Stephen Hawking's Favorite Places for the video-on-demand streaming service CuriosityStream, has the lowest starting bid, at £100. A Book, and scripts by Stephen Hawking are among the personal and academic possessions of Stephen Hawking at the auction hous.