Online bids for the 22 items can be placed between 31 October and 8 November.
The auction includes one of five existing copies of Hawking's 1965 Cambridge University Ph.D. thesis, Properties of Expanding Universes, which carries an estimated price of 100,000 pounds to 150,000 pounds.
Thomas Venning, head of books and manuscripts at Christie's, told the Associated Press that these papers "trace the development of his thought-this brilliant, electrifying intelligence". The document was signed with shaky handwriting, as Hawking finished it after beginning to show symptoms of amyotrophic lateral sclerosis (ALS), which eventually left him paralyzed. "He gave up his studies for a time because he was so despondent".
"We are very pleased to have the assistance of Christie's to help us with the important matter of managing our beloved father's archives and his unique and precious collection of personal and professional belongings, chronicling his life and work", said Lucy Hawking in a statement via Christie's.
Hawking's affliction is a disease which causes the death of neurons that control voluntary muscles.
"Stephen Hawking's rather mischievous attitude to piloting his wheelchair became legendary", according to the lot description."Having run over Prince Charles' toes during a meeting in 1977, he is said to have regretted not doing the same to the then-Prime Minister Margaret Thatcher". He communicated through a voice-generating computer and moved in a series of high-tech wheelchairs.
The proceeds from the auction of the chair will benefit the The Stephen Hawking Foundation, which advocates for the rights of people with disabilities, and The Motor Neurone Disease Association. Christie's estimates that the item will sell from between $12,600 and $18,900.
Venning told the AP that Hawking's wheelchair symbolizes the scientist's "puckish sense of humor".
Also on the block is a thumbprint-autographed original copy of the 1988 book that passed from Carl Sagan to Hawking the unofficial title of the world's leading cosmic explainer.
Christie's is handling negotiations to hand it over to British authorities in lieu of inheritance tax. Hawking will take his place among Britain's greatest scientists when his ashes are buried in Westminster Abbey, Friday June 15, 2018, between the graves of Charles Darwin and Isaac Newton, during a service of thanksgiving for the physicist who died in March 2018.