Territory Capture is an activity that involves your entire alliance where alliances compete for special territories in space for extra buffs and benefits.
The safeties are off when it comes to Territory Capture; it's essential to not only cooperate with your Alliance but also to develop strategies that will guarantee success!

You can either use your best ships with a PVP crew for a head-on attack or choose your fastest ships with a speed crew to outrun your opponents and maximize the time in the TC system to score points.

Best ships can be used to remove enemy ships on nodes and to kill enemy best PvP ships. The fastest ships can be used to score by outrunning enemy and just being in the contested system, cover nodes with relative low cost of repair and/ or act as bait (use the fastest ship to "tie up" enemy Sarcophagus until one of the best ships can come and kill the target).

If you choose the fastest ship:
Ships: Realta, Botany Bay, all Interceptors
Crew:
Pan - Khan's Crew (c) / Khan's Crew Science Officer / Khan's Crew Command Officer
Klaa - Glory In The Kill (c) / Glory In the Kill Science Officer / Glory In the Kill Engineering Officer
Michael Burnam - Discovery Crew (c) / Discovery Crew Command Officer / Discovery Crew Engineering Officer

When battling on a node (Capture or Mining), the Sarcophagus is effective against most G3/G4 ships.
You can compliment it with:

Generic
1) Rare John Harrison - Section 31 (c) / Epic Alexander Marcus - Section 31 /  Epic Kang - Blood and Honor
2) Rare Captain Tilly - Terran Empire (c) / Epic Lorca - Terran Empire / Rare John Harrison - Section 31
3) Rare Saru - Discovery Crew (c) / Uncommon Ariam - Discovery Crew / Rare Ash Tyler - Discovery Crew
4) PVP Crews

Per action
1) Resurrection Crew: Rare Vemet - Nero's Crew (c) / Rare Livis - Nero's Crew / Rare TOS Pavel Chekov - TOS Enterprise Crew
2) Burning Crew: Epic Georgiou - Discovery Crew (c) / Rare Saru - Discovery Crew / Rare Ash Tyler - Discovery Crew
3) Double-shot Crew: Epic Christopher Pike - Shakedown Cruise (c) / Epic Harcount Fenton Mudd - Mudd's Company / Rare John Harrison - Section 31
4) Node Capture Crew: Epic Gabriel Lorca - Terran Empire (c) / Rare Emperor Georgiou - Terran Empire / Rare Captain Tilly - Terran Empire

To learn more about Territory Capture, you can take a look >>here<<.