I read Undaunted Courage, Stephen Ambrose’s account of the Lewis and Clark expedition, several years ago [1], and now I’m listening to it as an audio book. The first time I read the book I glossed over the accounts of the expedition’s celestial observations. Now I’m more curious about the details.
The most common way to determine one’s location from sextant measurements is Hilare’s method [2], developed in 1875. But the Lewis and Clark expedition took place between 1804 and 1806. So how did the expedition calculate geolocation from their astronomical measurements? In short, they didn’t. They collected data for others to turn into coordinates later. Ambrose explains
With the sextant, every few minutes he would measure the angular distance between the moon and the target star. The figures obtained could be compared with tables show how those distances appeared at the same clock time in Greenwich. Those tables were too heavy to carry on the expedition, and the work was too time-consuming. Since Lewis’s job was to make the observations and bring them home, he did not try to do the calculations; he and Clark just gathered the figures.
The question remains how someone back in civilization would have calculated coordinates from the observations when the expedition returned. This article by Robert N. Bergantino addresses this question in detail.
Calculating latitude from measurements of the sun was relatively simple. Longitude was more difficult to obtain, especially without an accurate way to measure time. The expedition had a chronometer, the most expensive piece of equipment on the expedition that was accurate enough to determine the relative time between observations, but not accurate enough to determine Greenwich time. A more accurate chronometer would have been too expensive and too fragile to carry on the voyage.
For more on calculating longitude, see Dava Sobel’s book Longitude.
Related posts
- Dutton’s Navigation and Piloting
- Tracking and the Euler rotation theorem
- A little coffee on the prairie
[1] At least 17 years ago. I don’t keep a log of what I read, but I mentioned Undaunted Courage in a blog post from 2008.
[2] More formally known as Marcq Saint-Hilaire’s intercept method.