Given the stationary orbit: 24 years
Orbital radius: 40,000 km
Altitude: 33,692km
Question:
Find length in earth diameters
To find the length in Earth diameters, we need to compare the size of the stationary orbit with the diameter of the Earth.
The diameter of the Earth is approximately 12,742 kilometers.
First, let's convert the altitude to the radius of the orbit by subtracting the Earth's radius from it:
Altitude = 33,692 km - 12,742 km = 20,950 km
The total radius of the stationary orbit can be found by adding the altitude to the Earth's radius:
Radius = Altitude + Earth's radius = 20,950 km + 12,742 km = 33,692 km
Now, let's find the length in Earth diameters:
Length in Earth diameters = (2 x Radius) / Diameter of Earth
= (2 x 33,692 km) / 12,742 km
Calculating the result:
Length in Earth diameters = 66,384 km / 12,742 km
Length in Earth diameters ≈ 5.2
Therefore, the length in Earth diameters for the given stationary orbit is approximately 5.2.