Gravity assist wrote:
So if I move 1 token from III to gaia the conversion for K still 1
yes. Moving a token from bowl 3 to the Gaia bowl will only ever grant 1 knowledge. This is because the power from the Planetary institute only increases the power value of the tokens to 2, which is only useful when spending power.
Moving tokens to the gaia bowl (or discarding tokens for satellites) costs 1 token, regardless of how much power those tokens are worth.