I am going to take an old telescope, build an touchpad controlled robotic base for it, add star maps, geo location, times and mount a pi cam to it.
Additional Considerations:
Adding solar panels and programming to move with the sun for maximum charge of a battery pack during the day.
A LAMP stack, USB wifi adapter or gsm dongle+openvpn+ddclient, and a php control interface with the video feed.
Timed output to a chromecast (configurable within PHP interface)
An additional laser pointer to control the movement ie point the laser at the stars you want to view and the telescope follows suit.
A pi radio module with modifications and a limited scope to capture radio waves from wherever the telescope is pointed.
Components
1×
Raspberry Pi
Brain
1×
Pi Cam
camera
4×
Servo motor
Robitics
1×
Old Telescope
base
1×
USB WiFi Adapter OR USB GSM/CDMA Dongle
Network Connection