I am slowly progressing forward, no more planets have been found and I have lost a couple more of explorers. The resource production on my new planet is well established now so I can upgrade skill on my home planet and secondary planet. Luckily I have not been attacked anymore and I will soon start building corvettes.
My exploration missions have slowed down since now a lot of space around me has already been explored. My explorers are still flying but the trips take a long time now...
Good luck explorers! :)