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)
(with Iván Ghezzi and Ministerio de Cultura Peruana) Expediente de Nominación a la Lista de Patrimonio Mundial de UNESCO: “El Observatorio Solar Chankillo y su Centro Ceremonial”. Instituto de Investigaciones Arqueológicas, Lima (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)