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Astronomical functions in Elixir focused on sun, moon and calendrical calculations

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Astro

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Astro is a library to provide basic astromonomical functions with a focus on functions that support solar, lunar and lunisolar calendars such as the Chinese, Hebrew and Persian calendars.

Usage

NOTE: It's important to install and configure Astro correctly before use. See the installation notes below.

The primary functions are:

Solar function

  • Astro.sunrise/3
  • Astro.sunset/3
  • Astro.solstice/2
  • Astro.equinox/2
  • Astro.hours_of_daylight/2

Lunar functions

  • Astro.moon_position_at/1
  • Astro.illuminated_fraction_of_moon_at/1
  • Astro.date_time_new_moon_at_or_after/1
  • Astro.lunar_phase_at/1
  • Astro.lunar_phase_emoji/1

Examples

  # Sunrise in Sydney on December 4th
  iex> Astro.sunrise({151.20666584, -33.8559799094}, ~D[2019-12-04])
  {:ok, #DateTime<2019-12-04 05:37:00.000000+11:00 AEDT Australia/Sydney>}

  # Sunset in Sydney on December 4th
  iex> 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 the town of Alert in Nunavut, Canada
  # ...doesn't exist since there is no sunset in summer
  iex> Astro.sunset({-62.3481, 82.5018}, ~D[2019-07-01])
  {:error, :no_time}

  # ...or sunrise in winter
  iex> Astro.sunrise({-62.3481, 82.5018}, ~D[2019-12-04])
  {:error, :no_time}

  # Hours of daylight on December 7th in Sydney
  iex> Astro.hours_of_daylight {151.20666584, -33.8559799094}, ~D[2019-12-07]
  {:ok, ~T[14:18:45]}

  # No sunset in summer at high latitudes
  iex> Astro.hours_of_daylight {-62.3481, 82.5018}, ~D[2019-06-07]
  {:ok, ~T[23:59:59]}

  # No sunrise in winter at high latitudes
  iex> Astro.hours_of_daylight {-62.3481, 82.5018}, ~D[2019-12-07]
  {:ok, ~T[00:00:00]}

  # Calculate solstices for 2019
  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]}

  # Calculate equinoxes for 2019
  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]}

Specifying a location

The desired location of sunrise or sunset can be specified as either:

  • a tuple of longitude and latitude (note the order) such as {-62.3481, 82.5018}
  • a tuple of longitude, latitude and elevation (note the order) such as {-62.3481, 82.5018, 0}.
  • a Geo.Point.t struct
  • a Geo.PointZ.t struct

Location units and direction

For this implementation, the latitude and longitude of the functions in Astro are specified as follows:

  • Longitude is + for eastern longitudes and - for western longitudes and specified in degrees
  • Latitude is + for northern latitudes and - for southern latitudes and specified in degrees
  • Elevation is specified in meters

References

  • Thanks to @pinnymz for the ruby-zmanim gem which has a well structured ruby implementation of sunrise / sunset and some core astronomical algorithms.

  • Eventually all roads lead to the canonical book on the subject by Jean Meeus: Astronomical Algorithms

  • For the intersection of calendars and astronomy, Calendrical Calculations by Nachum Dershowitz and Edward M. Reingold remains the standard reference.

  • On the web, timeanddate.com is a great reference. The sunrise/sunset calculations in this library are tested to return times within 1 minute of timeanddate.com results.

  • Wikipedia for content to help describe the understanding behind some of the functions

Installation

Add Astro as a dependency

Astro can be installed by adding astro to your list of dependencies in mix.exs:

def deps do
  [
    {:astro, "~> 1.0"}
  ]
end

Install a time zone database

A time zone database is required in order to support time zone conversions. Two popular options are tzdata and tz. The time zone database must be configured in config.exs or runtime.exs as the default time zone database. For example:

# If using tzdata
config :elixir,
  :time_zone_database, Tzdata.TimeZoneDatabase
  
# If using tz
config :elixir, 
  :time_zone_database, Tz.TimeZoneDatabase

Optionally Install TzWorld

For functions such as Astro.sunrise/3 and Astro.sunset/3 it is common to expect the returned date time to be in the time zone of the specified location. The library tz_world provides that capability and, if configured, will automatically be used by those functions.

It is expected that tz_world is configured for most applications although it is not formally required.

tz_world does however require the download of nearly 30Mb of geojson data and a non-trivial post-processing step to format the data for efficient use by Astro. This might not be suitable for embedded devices and therefore Astro.sunrise/3 and Astro.sunset/3 take an optional :time_zone_resolver option to support the implementation of a custom function to resolve the time zone name from a given location.

The following steps should be following if tz_world is configured.

Install TzWorld Data

Get all dependencies and then install the data required to resolve a time zone from a location which is used by the dependency tz_world.

mix deps.get
mix tz_world.update

Add TzWorld to supervision tree

It is also required that tz_world be added to your applications supervision tree by adding the relevant tz_world backend to it in your MyApp.Application module:

defmodule MyApp.Application do
  use Application

  def start(_type, _args) do
    children = [
      .....
      # See the documentation for tz_world for the
      # various available backends. This is the recommended
      # backend.
      TzWorld.Backend.DetsWithIndexCache
    ]

    opts = [strategy: :one_for_one, name: Astro.Supervisor]
    Supervisor.start_link(children, opts)
  end
end

Configure your application module

Make sure that you have configured your application in mix.exs:

  def application do
    [
      mod: {MyApp.Application, [strategy: :one_for_one]},
      .....
    ]
  end

Documentation can be found at https://hexdocs.pm/astro.

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