Pokémon Adventures
The Green Orb core in Pokémon Adventures
While the Jade Orb has not appeared in the Pokémon Adventures manga, Norman revealed in It All Ends Now V that the reason why the Pokémon Association once captured and studied Rayquaza was in an attempt to create an artificial "Green Orb" (Japanese: 翠色の宝珠 Green Orb) in order to control it, but they failed to complete it.
As shown in The Final Battle IV, the core of the unfinished Green Orb was eventually thrown away by Professor Yanase and subsequently found by Emerald, who started wearing it as a part of his accessories. In The Final Battle IX, Ruby theorized that the core's power to control Pokémon had helped Emerald in calming down the Pokémon that had been rampaging due to Guile Hideout's influence.
In PS611, Emerald was revealed to have given the Green Orb core to Norman, who took it to the research facility where Rayquaza was held in captivity and used a machine to increase its purity. The process changed the core to a jade color and increased its strength. Despite the increase in strength, Norman was unable to utilize the core to control Rayquaza. When Ruby used the core, he was able to slightly control Rayquaza enough to influence its movements. When Sapphire used the core, she was able to peer into Rayquaza's mind, allowing her to hear its thoughts. When Ruby and Sapphire later prepared to ride Rayquaza to space in order to destroy Grand Meteor Delta, the Green Orb core was embedded in the Aqua Suit worn by Sapphire.