When exploring a moon with a radius of $399$km$399$km and a mass of $5\mathrm{.}781020$kg$5\mathrm{.}781020$kg$,$ a small spacecraft with a mass of $6520$kg$6520$kg is placed in an elliptical orbit around it$.$ When the spacecraft is at a distance of $2230$km$2230$km from the center of mass of the moon, it has an orbital speed of $415$m$/$s$415$m$/$s$.$

What is the orbital speed, in meters per second, when the spacecraft is at a distance of $9710$km$9710$km from the moon?