R: Converting cartesian coordinates to polar coordinates, and then calculating distance from origin

Question

I\'ve been looking for a solution to convert cartesian coordinates (lat, long) that I have to polar coordinates in order to facilitate a simulation that I want to run, but I hav

Answer 1

I think you can do transformation bewteen catesian and polar this way:

polar2cart <- function(r, theta) {
  data.frame(x = r * cos(theta), y = r * sin(theta))
}

cart2polar <- function(x, y) {
  data.frame(r = sqrt(x^2 + y^2), theta = atan2(y, x))
}