Stephen Peter Rigaud (1774–1839) was an English mathematical historian and astronomer. He was a Fellow of Exeter College, Oxford from 1794 to 1810, held the Savilian Chair of Geometry at the University of Oxford from 1810 to 1827, and was Savilian Professor of Astronomy from 1827 to 1839.
Rigaud was the son of Stephen Rigaud, Observer at Kew Observatory. The family was French Protestant. He lived at 21 Richmond Green in Richmond, Surrey (now Richmond, London).
- Historical essay on the first publication of Sir Isaac Newton’s Principia (First published 1838)
Rigaud's papers, purchased at Sotheby's in 1978, are held at the Bodleian Library, University of Oxford.
The Ashmolean Museum of Art and Archaeology in Oxford has a portrait by his uncle John Francis Rigaud. "Peter Rigaud and Mary Anne Rigaud", painted in 1778 when Rigaud was aged four, shows him and his elder sister Mary Anne posing in a park landscape with Kew Observatory in the background. Although described here as Richmond Park, topographical considerations make it more likely that the park portrayed is Old Deer Park, where the observatory is situated.