manilius: Mayer's 1750 data on the Manilius crater on the moon

In faraway: Functions and Datasets for Books by Julian Faraway

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.

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.

Source

Stigler, S. (1986) History of Statistics. Belknap Press, Harvard.

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

Examples

data(manilius)

faraway documentation built on Aug. 23, 2022, 5:08 p.m.