## ----include = FALSE---------------------------------------------------------- knitr::opts_chunk$set( collapse = TRUE, comment = "#>", fig.width = 7, fig.height = 5 ) ## ----------------------------------------------------------------------------- library(orbitr) ## ----------------------------------------------------------------------------- sim <- create_system() |> add_body("Earth", mass = mass_earth) |> add_body("Moon", mass = mass_moon, x = distance_earth_moon, vy = speed_moon) |> simulate_system(time_step = seconds_per_hour, duration = seconds_per_day * 28) sim ## ----------------------------------------------------------------------------- library(ggplot2) sim |> dplyr::mutate(r = sqrt(x^2 + y^2)) |> ggplot(aes(x = time / seconds_per_day, y = r, color = id)) + geom_line(linewidth = 1) + labs( title = "Distance from Barycenter Over Time", x = "Time (days)", y = "Distance (m)", color = "Body" ) + theme_minimal() ## ----------------------------------------------------------------------------- sim |> shift_reference_frame("Earth", keep_center = FALSE) |> ggplot(aes(x = x, y = y, color = time / seconds_per_day)) + geom_path(linewidth = 1.2) + scale_color_viridis_c(name = "Day") + coord_equal() + labs(title = "Lunar Orbit (Earth-Centered)", x = "X (m)", y = "Y (m)") + theme_minimal() ## ----------------------------------------------------------------------------- library(plotly) sim <- create_system() |> add_body("Earth", mass = mass_earth) |> add_body("Moon", mass = mass_moon, x = distance_earth_moon, vy = speed_moon * cos(5 * pi / 180), vz = speed_moon * sin(5 * pi / 180)) |> simulate_system(time_step = seconds_per_hour, duration = seconds_per_day * 28) sim <- sim |> dplyr::mutate(speed = sqrt(vx^2 + vy^2 + vz^2)) plot_ly() |> add_trace( data = dplyr::filter(sim, id == "Moon"), x = ~x, y = ~y, z = ~z, type = 'scatter3d', mode = 'lines', line = list( width = 5, color = ~speed, colorscale = 'Viridis', showscale = TRUE, colorbar = list(title = "Speed (m/s)") ), name = "Moon" ) |> add_trace( data = dplyr::filter(sim, id == "Earth"), x = ~x, y = ~y, z = ~z, type = 'scatter3d', mode = 'lines', line = list(width = 3, color = 'gray'), name = "Earth" ) |> layout( title = "Lunar Orbit Around Earth", showlegend = FALSE, scene = list( xaxis = list(title = 'X (m)'), yaxis = list(title = 'Y (m)'), zaxis = list(title = 'Z (m)'), aspectmode = "data" ) )