Anchors Aweigh is a side mission that Kat can partake in Gravity Rush 2. It is available after completing the thirteenth story mission Alone Again. It unlocks ore mining, accessed via the same man who triggers the quest.
Story[]
In the lower levels of Vendecentre, Kat talks to the owner of a small airboat. He speaks of a world beyond the Gravity Storms, which Kat confirms. The man mentions that his father had also seen it and told him about it on his deathbed, though when the man told others about it, nobody believed him. He mentions that since then, he'd been tossing objects into the storm to find proof, and one of the objects - a radio - had relayed some strange noises back. He asks Kat for her help to investigate, and the boat heads towards a Gravity Storm outside of Hekseville.
The man gives Kat a radio and lowers her into the storm, emerging on the other side in Toflug Reef, where Banga Settlement had been located at the start of the game, confirming a connection.
Kat sends back a photo of some Gravity Ore, and mines some gems. The man requests that Kat obtain a photo of a landmark - namely the Fighting Arena Kat mentions. Afterwards, with the help of the signals picked up by the radio, Kat sends back photos of some of the objects previously thrown in by the explorer, fighting Nevi along the way; a water tank, a bed (with a Nevi sleeping on it), and the old radio.
Kat returns, and back at Hekseville, the airboat captain shows a small gathering of people the photos Kat took; however, none of them believe him, dismissing the photos as faked before leaving.
Walkthrough[]
At this point in the story, this kind of sidequest should be fairly routine; there's only one special mechanic that shows up and it's fairly minor.
To begin with, some Gravity Ore is needed; there's plenty even on the starting island, so it shouldn't be too difficult. Afterwards, a photo of the Fighting Arena is needed; Kat may be a little picky as to what constitutes a decent photo here. When you aim your camera, the game should have picked out the best zoom for the camera; try not to deviate from it, and the photo you take should be fine as long as you're far away enough to capture the entire arena.
Next up is the water tank, and after you reach it, there's a few Nevi to defeat. Defeat them, and take a photo of the island with the water tank, also taking care to remember the game picks the best zoom for you already. Once that's done, Kat is asked to find "Other Junk": this is a bed with a Nevi sleeping on it. There's a collection of islands away from the Fighting Arena and the water tank, further afield; the island you need is just beyond the end of the biggest island, and should come into view once you clear it.
Take the photo of the sleeping (?) Nevi, taking care not to wake it or get too close, and next up is the old radio the explorer tossed in. This is located where Kat found Dusty and protected Cecie at the start of the game in Sad Angel. Defeat the Nevi that pop up, collect the radio, and you can head home to complete the side mission.