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A satellite is in elliptical orbit about the earth (radius = 6400km). At perigee it has an altitude of 1100 km and at the apogee its altitude is 4100km.The major axis of the orbit is at the distance.
  • a)
    5200km
  • b)
    10400km
  • c)
    11600km
  • d)
    18000km
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A satellite is in elliptical orbit about the earth (radius = 6400km). ...
By the property of ellipse 
Major axis 2a = maximum distance + minimum distance

Maximum distance =  maximum altitude + radius of earth = (4100+6400)
Minimum distance from centre of earth = 6400 + 1100
So, 2a = (4100+6400)+(6400+1100) = 18000km
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Most Upvoted Answer
A satellite is in elliptical orbit about the earth (radius = 6400km). ...
Given information:
- Perigee altitude (closest distance to Earth) = 1100 km
- Apogee altitude (farthest distance from Earth) = 4100 km
- Earth's radius = 6400 km

To find:
The major axis of the orbit

Explanation:
An elliptical orbit is defined by its major axis, which is the longest diameter of the ellipse. In this case, the major axis represents the distance between the perigee and apogee points of the satellite's orbit.

To find the major axis, we need to calculate the sum of the perigee altitude, apogee altitude, and twice the Earth's radius.

Calculations:
Perigee altitude = 1100 km
Apogee altitude = 4100 km
Earth's radius = 6400 km

Major axis = Perigee altitude + Apogee altitude + 2 * Earth's radius
Major axis = 1100 km + 4100 km + 2 * 6400 km
Major axis = 5200 km + 12800 km
Major axis = 18000 km

Therefore, the major axis of the satellite's orbit is 18000 km, which corresponds to option D.
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