Tractor beam

A tractor beam was a beam of energy projected from a vessel or device which could tether and pull another object. The Doctor's TARDIS had the ability to create a tractor beam (VG: TARDIS). The Fourth Doctor used his TARDIS' gravity tractor beam to hold a neutron star still while Erato used his ship to weave a protective shell around it. In the process, it burned out the tractor beam. (DW: The Creature from the Pit)

It had been repaired by his tenth incarnation when he appeared to used it to save the Sanctuary Base 6 rocket from a black hole. (DW: The Satan Pit)

During the end of the Doctor's encounter with a pan-dimensional being, his TARDIS got caught in a tractor beam heading towards Lakertya caused by the Rani. (PDA: Spiral Scratch/DW: Time and the Rani)

The Doctor's TARDIS also had an Anti-gravity spiral that had similar properties to a tractor beam. (DW: Delta and the Bannermen)