manilius: Mayer's 1750 data on the Manilius crater on the moon
Description
In 1750, Tobias Mayer collected data on various landmarks on the moon in
order to determine its orbit. The data involving the position of the
Manilius crater resulted in a least squares like problem. The example is
discussed in Steven Stigler's History of Statistics.
Arguments
Format
A data frame with 27 observations on the following 4 variables.
arc
an angle known as h in Stigler's notation
sinang
the sin(g-k) where g and k are two angles in Stigler
cosang
the cos(g-k) where g and k are two angles in Stigler
group
one of three groups determined by Mayer
Details
See Stigler for a detailed description.
References
Mayer, T. (1750) Abhandlung uber die Umwaltzung des Monds um
seine Axe und die scheinbare Bewegung der Mondsflecken published in the
Kosmographische Nachrichten und Sammlungen auf das Jahr 1748. 52-183