how would I do that? and where do I go to do it? I have no clue about this mission?
There are various quest givers who will give you a compatible mission. Lieutenant Grall gives three of them (for low level characters). For higher level characters simply consult this chart to see who you need to talk to and where to go: http://www.stowiki.org/List_of_missions#Exploration
Okay I've got the mission to "Explore Strange New Worlds". But there is no continuation to explore 3 systems in a star cluster. What it says in my mission log is this:
I, Lieutenant Hana, or one of the other exploration contacts can direct you to the star clusters where the Federation has limited or no information about distance areas of space. Carry out our mission of exploration and expand the boundaries of the Federation's knowledge.
o Complete an Exploration Tour
Accept a mission to explore 3 systems in a star cluster, then report in after you complete the exploration.
After you except the "Explore Strange New Worlds" mission from Lieutenant Grall he is no longer in Available Missions. So there in no where to accept explore 3 systems in a star cluster from him. As for Lieutenant Hana, I haven't been able to find this NPC.
So do I just drop this Mission? Can it be taken again?
Sorry for any mistakes, english isn't my primary language.
"Dear players we have for you new useless event and only-one-map-use-divices, and much more new "content", but we can't repair glitch in chat system which make mutes on private channels permament. So deal with it and give us your remaining money."
I remember, a long time ago, I had the same confusion you did. If you look on your "Available" list, the same place where the "Explore Strange New Worlds" mission is located, you will see that Lt. Grall and several others offer mission to various places that involve exploring three uncharted worlds, such as "Explore the Delta Volanis Cluster". You can except the mission "Explore Strange New Worlds" and except a mission from one of these others and that's how it works. "Explore Strange New Worlds" is not really a mission in and of itself. It is a vehicle to get you to do other missions by rewarding you with Dilithium when you're done.
So, Just accept any of the missions, such as explore the Delta Volanis one and accept Explore Strange New Worlds and they run together. It doesn't matter which order you accept the missions in, this is from long experience. Once you complete the "Cluster" or "Nebula" mission, the "Explore" mission is resolved as well. You don't have to do anything else.
If you have any more questions about this or anything else, please don't hesitate to ask.
Fleet Admiral (Retired) Treyven "The Raven" Corsey - Omega Armada
Just remember, folks: Without William Shatner's portrayal of Captain James T. Kirk, there would be no Star Trek.