Here are some ideas for earning the Outer Space badge. Some activities are designed to be done in a patrol or unit, others are designed to be done at home.
Suggestions have been split into ideas for Guides aged under 10 and Guides aged over 10, but feel free to mix and match - as long as it is a challenge for the individual girl!
Do some cooking with a space theme. There are some ideas halfway down this page.
Be able to draw the Southern Cross, and show that you can find it in the sky. Be able to find at least one other constellation. There is some information here.