Books published and in press
(with Rubellite Kawena Johnson and John Kaipo Mahelona) Nā Inoa Hōkū: Hawaiian and Pacific Star Names (third edition, extensively revised and expanded). University of Hawai‘i Press (in press, publication expected in 2026)
(with Amanda Chadburn) Stonehenge: Sighting the Sun. Historic England/ Liverpool University Press (2024)
(with David Welch, Robert Dick, Karen Treviño, Travis Longcore, Catherine Rich, John Hearnshaw, Adam Dalton, John Barentine and István Gyarmathy) The World at Night: Preserving Natural Darkness for Heritage Conservation and Night Sky Appreciation. International Union for the Conservation of Nature (2024)
(with Patrick V. Kirch) Heiau, ‘Āina, Lani: The Hawaiian Temple System in Ancient Kahikinui and Kaupō, Maui. University of Hawai‘i Press (2019)
(Editor) Heritage Sites of Astronomy and Archaeoastronomy in the context of the UNESCO World Heritage Convention: Thematic Study no. 2. ICOMOS / Ocarina Books (2017)
(with Rubellite Kawena Johnson and John Kaipo Mahelona) Nā Inoa Hōkū: Hawaiian and Pacific Star Names (revised edition). Ocarina Books (distributed by University of Hawai‘i Press) (2015)
(Editor-in-Chief) Handbook of Archaeoastronomy and Ethnoastronomy (3 volumes). Springer (2014)
(Editor) Archaeoastronomy in the 1990s. E-reprint, Ocarina Books, Bognor Regis (2014; originally published 1993)
(Editor) Archaeoastronomy and Ethnoastronomy: Building Bridges between Cultures. Cambridge University Press (2011)
(Co-editor and principal author with Michel Cotte) Heritage Sites of Astronomy and Archaeoastronomy in the context of the UNESCO World Heritage Convention: A Thematic Study. ICOMOS–IAU (2010 [e-edition] & 2011 [printed edition])
(Co-editor with Gary Urton) Skywatching in the Ancient World: New Perspectives in Cultural Astronomy. University Press of Colorado (2007 [hardback] & 2010 [paperback/e-book])
Ancient Astronomy: An Encyclopedia of Cosmologies and Myth. ABC-CLIO, Santa Barbara (2005)
(Assistant editor) Songs from the Sky: Indigenous Astronomical and Cosmological Traditions of the World. Ocarina Books and Center for Archaeoastronomy (2005)
(Editor) Records in Stone: Papers in Memory of Alexander Thom. Cambridge University Press (Reprinted 2003; originally published 1988).
(Co-editor with Frank Prendergast and Tom Ray) Astronomy, Cosmology and Landscape. Ocarina Books, Bognor Regis (2001 [printed edition] & 2011 [e-edition])
Astronomy in Prehistoric Britain and Ireland. Yale University Press (1999)
(Co-editor with Nicholas Saunders) Astronomies and Cultures. University Press of Colorado (1993)
(Co-editor with David Medyckyj-Scott, Ian Newman and David Walker) Metadata in the Geosciences. Group D Publications, Loughborough (1991)
(Editor and principal author) Formal Methods in Standards. Springer-Verlag, Berlin (1990)
(Co-editor with Sebastian Rahtz) Computer Applications and Quantitative Methods in Archaeology 1987. BAR International Series 393, British Archaeological Reports, Oxford (1988)
Megalithic Astronomy: a New Archaeological and Statistical Study of 300 Western Scottish Sites. BAR British Series 123, British Archaeological Reports, Oxford (1984)
(Co-editor with Alasdair Whittle) Astronomy and Society in Britain During the Period 4000-1500 BC. BAR British Series 88, British Archaeological Reports, Oxford (1981)