Table of Contents
Converter
The converter uses degree decimal values for right ascension and declination.
Right ascension (dd) | Declination (dd) | |
---|---|---|
Galactic latitude (b) | Galactic longitude (l) | |
Fromula
To convert from equatorial to galactic coordinates,
\small \begin{equation} \sin(b) = \sin(\delta_\text{NGP})\sin(\delta) + \cos(\delta_\text{NGP})\cos(\delta)\cos(\alpha - \alpha_\text{NGP}) \end{equation}
\small \begin{equation} \tan(l_\text{NCP} - l) = \frac{\cos(\delta)\sin(\alpha - \alpha_\text{NGP})}{\sin(\delta)\cos(\delta_\text{NGP}) - \cos(\delta)\sin(\delta_\text{NGP})\cos(\alpha - \alpha_\text{NGP})} \end{equation}
According to IAU, the values of $l_\text{NCP}$, $\delta_\text{NGP}$, and $\alpha_\text{NGP}$ are $122.9320^\circ$, $27.1284^\circ$, and $192.8595^\circ$ respectively.
Equatorial coordinates
- Indepdendant of the observer’s location and time of observation.
- Earth centeric, the equator of Earth is the fundamental plane for the equatorial coordinate system.
- Primary direction is towards the vernal equinox.
- It is a right-handed coordinate system, positive towards North and East direction.
Galactic coordinates
- Independant of the observer’s location and time of observation.
- Heliocenteric, the galactic plane is the fundamental plane for the galactic coordinate system.
- Primary direction is towards the center of Milky Way galaxy.
- It is a right-handed coordinate system, positive towards North and East direction.
See more
For python codes to convert equatorial to galactic coordinates, see the post “How to interconvert celestial coordinate systems?#Equatorial_Galactic”.