Final answer:
The centripetal force keeping the satellite in orbit is 1.84 x 10^7 N.
Step-by-step explanation:
The centripetal force keeping the satellite in orbit can be calculated using the formula:
F = (m * v^2) / r
Where F is the centripetal force, m is the mass of the satellite, v is the orbital speed, and r is the radius of the orbit.
Plugging in the given values: m = 105 kg, v = 1.83 m/s, and r = 1.28 x 10^7 m, we can calculate the centripetal force to be approximately 1.84 x 10^7 N.