Help me find name of my first sci-fi anime?

At the beginning there was an attack on huge (royal?) cosmic ship. In the end of VHS cassette two girls (probably survivors) land on some desert planet. Red/blond short haired girl carried on her back massive spheric shaped object (probably bag or escape pod) other girl (princess?) with long hair (can't remember color) was arguing with her. Can't remember length, but I think it was quite short (maybe series). Remind of "Dirty Pair" and "Maris the Chojo" (style, comedic characters).