The control panel on a spaceship contains a light that blinks every $1\mathrm{.}51$ s as observed by an astronaut in the ship. If the spaceship is moving past Earth with a speed of $0\mathrm{.}803$c$,$ determine the proper time interval between blinks and the time interval between blinks as observed by a person on Earth.

HINT:

Apply the time dilation equation, being careful to distinguish between $$t and $$tp$.$

$($a$)$

the proper time interval $($in s$)$ between blinks

$($b$)$

the time interval $($in s$)$ between blinks as observed by a person on Earth