defmodule Astro do @moduledoc """ Functions for basic astronomical observations such as sunrise, sunset, solstice, equinox, moonrise, moonset and moon phase. """ alias Astro.{Solar, Utils} @type longitude :: float() @type latitude :: float() @type degrees :: float() @type location :: {longitude, latitude} | Geo.Point.t() | Geo.PointZ.t() @type date :: Calendar.date() | Calendar.naive_datetime() | Calendar.datetime() @type options :: keyword() @doc """ Calculates the sunrise for a given location and date. Sunrise is the moment when the upper limb of the sun appears on the horizon in the morning. ## Arguments * `location` is the latitude, longitude and optionally elevation for the desired sunrise time. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation * a `Geo.PointZ.t` struct to represent a location and elevation * `date` is a `Date.t`, `NaiveDateTime.t` or `DateTime.t` to indicate the date of the year in which the sunrise time is required. * `options` is a keyword list of options. ## Options * `solar_elevation` represents the type of sunrise required. The default is `:geometric` which equates to a solar elevation of 90°. In this case the calulation also accounts for refraction and elevation to return a result which accords with the eyes perception. Other solar elevations are: * `:civil` representing a solar elevation of 96.0°. At this point the sun is just below the horizon so there is generally enough natural light to carry out most outdoor activities. * `:nautical` representing a solar elevation of 102.0° This is the point at which the horizon is just barely visible and the moon and stars can still be used for navigation. * `:astronomical`representing a solar elevation of 108.0°. This is the point beyond which astronomical observation becomes impractical. * Any floating point number representing the desired solar elevation. * `:time_zone` is the time zone to in which the sunrise is requested. The default is `:default` in which the sunrise time is reported in the time zone of the requested location. Any other time zone name supported by the option `:time_zone_database` is acceptabe. * `:time_zone_database` represents the module that implements the `Calendar.TimeZoneDatabase` behaviour. The default is `Tzdata.TimeZoneDatabase`. ## Returns * a `DateTime.t` representing the time of sunrise in the requested timzone at the requested location or * `{:error, :time_zone_not_found}` if the requested time zone is unknown * `{:error, :no_time}` if for the requested date and location there is no sunrise. This can occur at very high latitudes during summer and winter. ## Examples # Sunrise in Sydney, Australia Astro.sunrise({151.20666584, -33.8559799094}, ~D[2019-12-04]) {:ok, #DateTime<2019-12-04 05:37:00.000000+11:00 AEDT Australia/Sydney>} # Sunrise in Alert, Nanavut, Canada Astro.sunrise({-62.3481, 82.5018}, ~D[2019-12-04]) {:error, :no_time} """ @spec sunrise(location, date, options) :: {:ok, DateTime.t()} | {:error, :time_zone_not_found | :no_time} def sunrise(location, date, options \\ default_options()) when is_list(options) do options = Keyword.put(options, :rise_or_set, :rise) Solar.sun_rise_or_set(location, date, options) end @doc """ Calculates the sunset for a given location and date. Sunset is the moment when the upper limb of the sun disappears below the horizon in the evening. ## Arguments * `location` is the latitude, longitude and optionally elevation for the desired sunrise time. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation * a `Geo.PointZ.t` struct to represent a location and elevation * `date` is a `Date.t`, `NaiveDateTime.t` or `DateTime.t` to indicate the date of the year in which the sunset time is required. * `options` is a keyword list of options. ## Options * `solar_elevation` represents the type of sunset required. The default is `:geometric` which equates to a solar elevation of 90°. In this case the calulation also accounts for refraction and elevation to return a result which accords with the eyes perception. Other solar elevations are: * `:civil` representing a solar elevation of 96.0°. At this point the sun is just below the horizon so there is generally enough natural light to carry out most outdoor activities. * `:nautical` representing a solar elevation of 102.0° This is the point at which the horizon is just barely visible and the moon and stars can still be used for navigation. * `:astronomical`representing a solar elevation of 108.0°. This is the point beyond which astronomical observation becomes impractical. * Any floating point number representing the desired solar elevation. * `:time_zone` is the time zone to in which the sunset is requested. The default is `:default` in which the sunset time is reported in the time zone of the requested location. Any other time zone name supported by the option `:time_zone_database` is acceptabe. * `:time_zone_database` represents the module that implements the `Calendar.TimeZoneDatabase` behaviour. The default is `Tzdata.TimeZoneDatabase`. ## Returns * a `DateTime.t` representing the time of sunset in the requested time zone at the requested location or * `{:error, :time_zone_not_found}` if the requested time zone is unknown * `{:error, :no_time}` if for the requested date and location there is no sunset. This can occur at very high latitudes during summer and winter. ## Examples # Sunset in Sydney, Australia Astro.sunset({151.20666584, -33.8559799094}, ~D[2019-12-04]) {:ok, #DateTime<2019-12-04 19:53:00.000000+11:00 AEDT Australia/Sydney>} # Sunset in Alert, Nanavut, Canada Astro.sunset({-62.3481, 82.5018}, ~D[2019-12-04]) {:error, :no_time} """ @spec sunset(location, date, options) :: {:ok, DateTime.t()} | {:error, :time_zone_not_found | :no_time} def sunset(location, date, options \\ default_options()) when is_list(options) do options = Keyword.put(options, :rise_or_set, :set) Solar.sun_rise_or_set(location, date, options) end @doc """ Returns the datetime in UTC for either the March or September equinox. ## Arguments * `year` is the gregorian year for which the equinox is to be calculated * `event` is either `:march` or `:september` indicating which of the two annual equinox datetimes is required ## Returns * `{:ok, datetime}` representing the UTC datetime of the equinox ## Examples iex> Astro.equinox 2019, :march {:ok, ~U[2019-03-20 21:58:06Z]} iex> Astro.equinox 2019, :september {:ok, ~U[2019-09-23 07:49:30Z]} ## Notes This equinox calculation is expected to be accurate to within 2 minutes for the years 1000 CE to 3000 CE. An equinox is commonly regarded as the instant of time when the plane of Earth's equator passes through the center of the Sun. This occurs twice each year: around 20 March and 23 September. In other words, it is the moment at which the center of the visible Sun is directly above the equator. """ @spec equinox(Calendar.year, :march | :september) :: {:ok, DateTime.t()} def equinox(year, event) when event in [:march, :september] and year in 1000..3000 do Solar.equinox_and_solstice(year, event) end @doc """ Returns the datetime in UTC for either the June or December solstice. ## Arguments * `year` is the gregorian year for which the solstice is to be calculated * `event` is either `:june` or `:december` indicating which of the two annual solstice datetimes is required ## Returns * `{:ok, datetime}` representing the UTC datetime of the solstice ## Examples iex> Astro.solstice 2019, :december {:ok, ~U[2019-12-22 04:18:57Z]} iex> Astro.solstice 2019, :june {:ok, ~U[2019-06-21 15:53:45Z]} ## Notes This solstice calculation is expected to be accurate to within 2 minutes for the years 1000 CE to 3000 CE. A solstice is an event occurring when the Sun appears to reach its most northerly or southerly excursion relative to the celestial equator on the celestial sphere. Two solstices occur annually, around June 21 and December 21. The seasons of the year are determined by reference to both the solstices and the equinoxes. The term solstice can also be used in a broader sense, as the day when this occurs. The day of a solstice in either hemisphere has either the most sunlight of the year (summer solstice) or the least sunlight of the year (winter solstice) for any place other than the Equator. Alternative terms, with no ambiguity as to which hemisphere is the context, are "June solstice" and "December solstice", referring to the months in which they take place every year. """ @spec solstice(Calendar.year, :june | :december) :: {:ok, DateTime.t()} def solstice(year, event) when event in [:june, :december] and year in 1000..3000 do Solar.equinox_and_solstice(year, event) end @doc """ Returns solar noon for a given date and location as a UTC datetime ## Arguments * `location` is the latitude, longitude and optionally elevation for the desired solar noon time. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation * a `Geo.PointZ.t` struct to represent a location and elevation * `date` is any date in the Gregorian calendar (for example, `Calendar.ISO`) ## Returns * a UTC datetime representing solar noon at the given location for the given date ## Example iex> Astro.solar_noon {151.20666584, -33.8559799094}, ~D[2019-12-06] {:ok, ~U[2019-12-06 01:45:42Z]} ## Notes Solar noon is the moment when the Sun passes a location's meridian and reaches its highest position in the sky. In most cases, it doesn't happen at 12 o'clock. At solar noon, the Sun reaches its highest position in the sky as it passes the local meridian. """ @spec solar_noon(Astro.location(), Calendar.date()) :: {:ok, DateTime.t()} def solar_noon(location, date) do %Geo.PointZ{coordinates: {longitude, _, _}} = Utils.normalize_location(location) julian_day = Astro.Time.julian_day_from_date(date) julian_centuries = Astro.Time.julian_centuries_from_julian_day(julian_day) julian_centuries |> Solar.solar_noon_utc(-longitude) |> Astro.Time.datetime_from_date_and_minutes(date) end @doc """ Returns solar longitude for a given date. Solar longitude is used to identify the seasons. ## Arguments * `date` is any date in the Gregorian calendar (for example, `Calendar.ISO`) ## Returns * a `float` number of degrees between 0 and 360 representing the solar longitude on `date` ## Examples iex> Astro.sun_apparent_longitude ~D[2019-03-21] 0.08035853207991295 iex> Astro.sun_apparent_longitude ~D[2019-06-22] 90.32130455695378 iex> Astro.sun_apparent_longitude ~D[2019-09-23] 179.68691978440197 iex> Astro.sun_apparent_longitude ~D[2019-12-23] 270.83941087483504 ## Notes Solar longitude (the ecliptic longitude of the sun) in effect describes the position of the earth in its orbit, being zero at the moment of the vernal equinox. Since it is based on how far the earth has moved in its orbit since the equinox, it is a measure of what time of the tropical year (the year of seasons) we are in, but without the inaccuracies of a calendar date, which is perturbed by leap years and calendar imperfections. """ @spec sun_apparent_longitude(Calendar.date()) :: degrees() def sun_apparent_longitude(date) do date |> Astro.Time.julian_day_from_date() |> Astro.Time.julian_centuries_from_julian_day() |> Solar.sun_apparent_longitude() end @doc """ Returns the number of hours of daylight for a given location on a given date. ## Arguments * `location` is the latitude, longitude and optionally elevation for the desired hours of daylight. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation * a `Geo.PointZ.t` struct to represent a location and elevation * `date` is any date in the Gregorian calendar (for example, `Calendar.ISO`) ## Returns * `{:ok, time}` where `time` is a `Time.t()` ## Examples iex> Astro.hours_of_daylight {151.20666584, -33.8559799094}, ~D[2019-12-07] {:ok, ~T[14:18:45]} # No sunset in summer iex> Astro.hours_of_daylight {-62.3481, 82.5018}, ~D[2019-06-07] {:ok, ~T[23:59:59]} # No sunrise in winter iex> Astro.hours_of_daylight {-62.3481, 82.5018}, ~D[2019-12-07] {:ok, ~T[00:00:00]} ## Notes In latitudes above the polar circles (approximately +/- 66.5631 degrees) there will be no hours of daylight in winter and 24 hours of daylight in summer. """ @spec hours_of_daylight(Astro.location(), Calendar.date()) :: {:ok, Time.t()} def hours_of_daylight(location, date) do with {:ok, sunrise} <- sunrise(location, date), {:ok, sunset} <- sunset(location, date) do seconds_of_sunlight = DateTime.diff(sunset, sunrise) {hours, minutes, seconds} = Astro.Time.seconds_to_hms(seconds_of_sunlight) Time.new(hours, minutes, seconds) else {:error, :no_time} -> if no_daylight_hours?(location, date) do Time.new(0, 0, 0) else Time.new(23, 59, 59) end end end @polar_circle_latitude 66.5631 defp no_daylight_hours?(location, date) do %Geo.PointZ{coordinates: {_longitude, latitude, _elevation}} = Utils.normalize_location(location) cond do latitude >= @polar_circle_latitude and date.month in 10..12 or date.month in 1..3 -> true latitude <= -@polar_circle_latitude and date.month in 4..9 -> true true -> false end end @doc false def default_options do [ solar_elevation: Solar.solar_elevation(:geometric), time_zone: :default, time_zone_database: Tzdata.TimeZoneDatabase ] end end