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How long does it take for a satellite to travel between perigee and apogee? Apogee and perigee altitude from surface of the earth is 900 km and 400 km respectively. Earth’s radius and standard gravitational parameter is 6378 km and 398,600 km3/s2 respectively.

How long does it take for a satellite to travel between perigee and apogee? Apogee and perigee altitude from surface of the earth is 900 km and 400 km respectively. Earth’s radius and standard gravitational parameter is 6378 km and 398,600 km3/s2 respectively. Correct Answer 2931.8 s

Given, Perigee distance (rp) = 6378 + 400 = 6778 km Apogee distance (ra) = 6378 + 900 = 7278 km Semi-major axis (a) = (rp + ra)/2 = (6778 + 7278)/2 = 7028 km Time period of the orbit (T) = 2πa3/2/μ1/2 = 2π*70283/2/398,6001/2 = 5863.53 s Time taken to travel from perigee to apogee = T/2 = 5863.53/2 = 2931.8 s

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