How to quantify power output of a statite?
It's a kind of (non-)satellite, that remains immobile in relation to the central body (e.g. hovering over one of the poles of a planet) through continuous counteracting the gravitational pull through its propulsion. (the linked article suggests solar sail, but other means have been proposed; ion propulsion based Sun statite could maintain position for months.)
If we take work as force over distance, since statite remains immobile, work understood that way is zero. This approach is impractical here.
Yet indubitably fuel is burnt, propellant accelerated, a certain energy output over time is required to maintain status quo.
How should I calculate this work, energy and power, knowing the local gravitational acceleration and mass of the statite?
(let's assume the statite mass change over time of the experiment is small to avoid rocket equation problems).