basically shining a very bright light
GPS satellites broadcast 500 watts from a 13dbi antenna.But they're far away. Really really far away, to the tune of 21,000km. (The Earth is about 12,000km wide.)
By the time the signal makes it to the surface of the planet, the inverse square law has punched it down to -130 dBi, which is well below the thermal noise floor of room temp electronics. GPS receivers pull a useful signal out of a storm of random noise using deep information theory magic, which is vulnerable to several clever low power attacks.
Even a dumb jammer doesn't need much power, though.
one could program a missile to follow the light...
http://en.wikipedia.org/wiki/AGM-88_HARM"The AGM-88 High-speed Anti-Radiation Missile (HARM) is a tactical, air-to-surface missile designed to home in on electronic transmissions coming from surface-to-air radar systems."