1. Suppose that, at some moment, my phone says the time is T and the clock aboard the GPS satellite says the time is Ts. Because the GPS satellite is moving, the theory of relativity says that these...

Question

Question

1. Suppose that, at some moment, my phone says the time is T and the clock aboard the GPS satellite says the time is Ts. Beca

math calculus

Answer 1

Answer #1

Given the equation

$T=T, C2$

a) We know the speed of light, $c$ c-299792458m/s

The typical orbital speed of a GPS satellite 14 × 103km /hr= 3.888888889 × 103 m/s u

Thus,

U2 (3.888888889 × 103)2 Ty T-vi-c2 =yi- (299792458)2-0.9999999999158644

T-Ts - 8.413558738595839 × 10-11 1-0.9999999999158644 =

Thus for each second on ground the clock on the satellites a gain of 0.084 nanoseconds is observed.

b) This is ofcourse a very small number. Hence $T$ is very close to $T_s$

Answer 2