The Paradise Syndrome (TOS)

[Khas 12,158]

The episode where the Enterprise finds Native Americans living on a distant planet, and have to deflect an asteroid from hitting it. The asteroid was stated to be nearly the size of Luna (Earth's moon, for those who don't know).

 

http://en.memory-alpha.org/wiki/Amerind

 

 

 

It also mentions that the Enterprise was able to alter that asteroid's trajectory by 0.0013 degrees.

 

http://en.memory-alpha.org/wiki/The_Paradise_Syndrome#Act_One

 

 

 

This is the E-Nil moving something the size of our moon using its tractor beams. Am I the only one who finds this insanely powerful?

[enigma 521]

Not as awesome when the E-D used it's tractor beams and warp field to move a stellar fragment from hitting a populated planet. That's right, they moved a chunk of a star's core.