This post is the companion to the short film Ten kilometres for one sunset?, which tests a fifty-year-old astronomical claim about the Dorset Cursus against modern LiDAR. The method, numbers and caveats follow.
Fly the cursus yourself: Dorset Cursus 3D LiDAR flyover.
The monument
The Dorset Cursus is a pair of parallel banks with outer ditches running for just over 6¼ miles, nearly 10 km, across Cranborne Chase, from Thickthorn Down in the south-west to Martin Down in the north-east (RCHME 1975; Dorset HER MDO5608). It was built in two parts. The first, the Gussage cursus, ran from Thickthorn to a terminal on Bottlebush Down; the second, the Pentridge cursus, continued it on a slightly different alignment to Martin Down. Measured along the published points, the two are 5.65 km and 4.33 km long. Radiocarbon dates span the second half of the fourth millennium BC (Bowden et al. 1983; Barrett, Bradley & Green 1991). For most of its length it survives only as a cropmark or soilmark; the ends at Thickthorn and Martin Down remain as earthworks.
Long barrows lie beside it, inside it and in its banks. On Gussage Hill one lies across the interior, at right angles to the banks: a mound 155 ft long, 65 ft across and up to 10 ft high (RCHME 1975; Dorset HER MDO5615).
The Dorset Cursus on EA 1 m LiDAR, from the south-east. Height ×1.5.
The claim
Penny and Wood (1973) proposed that an observer at the Bottlebush terminal of the Gussage cursus would see the midwinter sun set behind the Gussage Hill long barrow. Barrett, Bradley and Green (1991) accepted this as the most plausible of Penny and Wood's alignments. It has since become the standard astronomical reading of the monument.
The test
The Environment Agency's LIDAR Composite DTM at 1 m (2022) covers the whole cursus. The observer is placed 30 m inside the Bottlebush terminal (RCHME SU 01581566) on the line of the Gussage cursus, at E401558 N115639, with the eye 1.6 m above the ground. The barrow mound is located directly in the DTM: its summit stands 3.1 m above its surroundings, and the part higher than 0.6 m is 43 m long on a bearing of 143°, matching the RCHME description.
From the observer the barrow is 2.89 km away on a bearing of 231.2°; the mound spans 230.8° to 231.7°. Sight lines are traced across the DTM out to 8 km with the curvature of the earth and terrestrial refraction (coefficient 0.13) included.
Section along the sight line from the Bottlebush terminal. The barrow is the skyline; the ground beyond stays below the line. Height exaggerated as marked.
The barrow is the skyline. On bearings from 224° to 238° the horizon is the Gussage Hill ridge, 2.83 to 2.95 km away, and the mound lifts it from about 0.24° to 0.29° above level. Nothing further away shows above it.
The sun. In 3300 BC the obliquity of the ecliptic was 24.05° (Laskar 1986), so the midwinter sun's declination was −24.05°. At latitude 50.93° N, with standard refraction at the horizon's altitude, the last gleam of the sun, its upper limb touching the skyline, goes down on a bearing of 230.60°. Moving the date to 3500 BC or 3000 BC shifts this by less than 0.05°.
The skyline from the middle of the Bottlebush terminal at true angular scale, with the midwinter sun of 3300 BC at three moments of its setting. The last gleam goes down just south of the mound.
From the middle of the terminal it just misses. The last gleam goes down 0.20° south of the mound's south-west end, about 10 m at the distance of the barrow. The sun's disc is 0.53° across, so the miss is less than half its width.
From the north-west half it works. Moving across the cursus changes the barrow's bearing by about 0.02° for every metre. From anywhere between 10 m and 55 m north-west of the axis, which is the north-west half of the terminal, the last of the midwinter sun goes down behind the mound.
The Bottlebush terminal on LiDAR local relief. Gold: the last gleam goes down behind the barrow. Blue: it goes down just beside it. Banks as traced on the flyover.
What could move it
- Refraction. Near the horizon in winter it varies from night to night; a change of 30% moves the last gleam by about 0.27°, more than the miss from the middle of the terminal.
- The terminal. The Gussage terminal bank on Bottlebush is ploughed. Its position comes from an eight-figure RCHME grid reference, and the axis there from the line between published points, not from surviving banks. Either can shift the zone by several metres.
- The barrow. The DTM records the mound as it is now, ploughed and eroded. A taller mound would widen the zone, not narrow it.
- Trees. Neolithic woodland on Gussage Hill, if any, is unknown and not modelled.
Conclusion
The 1973 claim survives a test its authors could not run. The Gussage Hill long barrow is the skyline from the Bottlebush terminal, and the midwinter sun of the late fourth millennium BC sets behind it when seen from the north-west half of the terminal, and just beside it from the south-east half. Whether the builders intended this cannot be settled from the ground.
How the line is drawn. No complete survey plan of the cursus is published. The banks on the flyover run between the published positions of the terminals and of points along the line (Historic England 1002785; RCHME long barrow 14, SU 011152, SU 01581566, SU 025169, SU 04051920), moved onto the ridges where the LiDAR still shows them, and left on the straight line between points across ploughed gaps. The code for the test is in the film's folder on GitHub (align.py, sens.py, diagrams.py).
References
- Atkinson, R. J. C. 1955. The Dorset Cursus. Antiquity 29, 4–9.
- Barrett, J., Bradley, R. & Green, M. 1991. Landscape, Monuments and Society: the prehistory of Cranborne Chase. Cambridge University Press.
- Bowden, M., Bradley, R., Gaffney, V. & Mepham, L. 1983. The date of the Dorset Cursus. Proceedings of the Prehistoric Society 49, 376–379. doi:10.1017/S0079497X00008069
- Dorset Historic Environment Record: MDO5608 The Dorset Cursus; MDO5615 Long barrow on Gussage Hill.
- Historic England list entry 1002785, Western end of Dorset Cursus.
- Laskar, J. 1986. Secular terms of classical planetary theories using the results of general theory. Astronomy and Astrophysics 157, 59–70.
- Loveday, R. 2019. Neolithic cursus monuments. Prehistoric Society, Neolithic factsheet 8.
- Penny, A. & Wood, J. E. 1973. The Dorset Cursus complex: a Neolithic astronomical observatory? Archaeological Journal 130, 44–76.
- RCHME 1975. An Inventory of Historical Monuments in the County of Dorset, Volume V: East Dorset. HMSO.
LiDAR: Environment Agency LIDAR Composite DTM 1 m, 2022. © Environment Agency copyright and/or database right 2022. Open Government Licence v3.0. Flyover, diagrams and analysis: T. Daw. Music in the film: original.