Update coord.py

[Amidn]

The Coordinate class provides a simple and efficient way to transform local detector coordinates (dir_𝑥, dir_𝑦, dir_𝑧 ) into various astronomical coordinate systems. It is designed for use with KM3NeT data or any local detector-based directional information.

Inputs:

• Local Cartesian directional cosines: dir_x, dir_y, dir_z.
• Observation time(s) in Modified Julian Date (MJD).
• Detector location (defaults to KM3NeT ARCA if not provided).

Outputs:

• AltAz (Horizontal): Azimuth (𝜙) and Zenith (θ) angles in degrees.
• ICRS (Equatorial): Right Ascension (RA) and Declination (Dec) in degrees.
• Galactic: Galactic Longitude (𝑙) and Latitude (𝑏) in degrees.
• FK5 (J2000): RA and Dec in the FK5 frame in degrees.

Implementation:

• Uses Astropy for precise astronomical coordinate transformations.
• Handles single or multiple input events (array-compatible).

# Inputs
dir_x = [0.5, 0.6, 0.7]
dir_y = [0.5, 0.4, 0.3]
dir_z = [0.707, 0.8, 0.9]
mjd = [59300.5, 59301.5, 59302.5]

# Instantiate the Coordinate class
coordinate = Coordinate(dir_x, dir_y, dir_z, mjd)

# Transformations
phi, theta = coordinate.to_altaz()           # AltAz
icrs = coordinate.to_icrs()                 # ICRS
galactic = coordinate.to_galactic()         # Galactic
fk5 = coordinate.to_fk5()                   # FK5

# Example Output
print("AltAz:", phi, theta)
print("ICRS:", icrs)
print("Galactic:", galactic)
print("FK5:", fk5)

This tool simplifies the analysis of directional event data from detectors, enabling direct comparison with celestial sources in other coordinate systems.