rhea: Rhea craters from Hirata (2016)

In sphunif: Uniformity Tests on the Circle, Sphere, and Hypersphere

Rhea craters from Hirata (2016)

Description

Craters on Rhea from Hirata (2016).

Usage

rhea

Format

A data frame with 3596 rows and 4 variables:

name

name of the crater (if named).

diameter

diameter of the crater (in km).

theta

longitude angle \theta \in [0, 2\pi) of the crater center.

phi

latitude angle \phi \in [-\pi/2, \pi/2] of the crater center.

Details

The (\theta, \phi) angles are such their associated planetocentric coordinates are:

(\cos(\phi) \cos(\theta), \cos(\phi) \sin(\theta), \sin(\phi))',

with (0, 0, 1)' denoting the north pole.

The script performing the data preprocessing is available at rhea.R.

Source

https://agupubs.onlinelibrary.wiley.com/action/downloadSupplement?doi=10.1002%2F2015JE004940&file=jgre20485-sup-0002-TableS1.txt

References

Hirata, N. (2016) Differential impact cratering of Saturn's satellites by heliocentric impactors. Journal of Geophysical Research: Planets, 121:111–117. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1002/2015JE004940")}

Examples

# Load data
data("rhea")

# Add Cartesian coordinates
rhea$X <- cbind(cos(rhea$theta) * cos(rhea$phi),
                sin(rhea$theta) * cos(rhea$phi),
                sin(rhea$phi))

# Tests
unif_test(data = rhea$X[rhea$diam > 15 & rhea$diam < 20, ],
          type = c("PCvM", "PAD", "PRt"), p_value = "asymp")

sphunif documentation built on Aug. 21, 2023, 9:11 a.m.