The ASTRI-Mini Array will be composed of nine imaging atmospheric Cherenkov telescopes
at the Teide Observatory site. The array will observe in the 0.5-200 TeV range with an
angular resolution of a few arc-minutes and an energy resolution of about 10%.
The deployment of the first cameras will begin in 2022, and in the first four operational years
the ASTRI Collaboration has developed a core-science programme focused on
a limited number of key science targets. Additionally, thanks to a field-of-view
of about 6 degree radius, ASTRI-MA will collect data from many other field sources
that will constitute the base of a long-term Galactic observatory programme.
In this contribution, I will overview the main themes for this extended observatory
science programme for the different astrophysical Galactic environments.