Question
In: Physics
Draw a free body diagram for a satellite in an elliptical orbit showing why its speed...
Draw a free body diagram for a satellite in an elliptical orbit showing why its speed increases as it approaches its parent body and decreases as it moves away
Solutions
Expert Solution
A satellite orbiting the parent body, say earth, in elliptical motion will experience a component of force in the same or the opposite direction as its motion. This force is capable of doing work upon the satellite. Thus, the force is capable of slowing down and speeding up the satellite.
When the satellite moves away from the earth, there is a component of force in the opposite direction as its motion. During this portion of the satellite's trajectory, the force does negative work upon the satellite and slows it down.
When the satellite moves towards the earth, there is a component of force in the same direction as its motion. During this portion of the satellite's trajectory, the force does positive work upon the satellite and speeds it up.
Subsequently, the speed of a satellite in elliptical motion is constantly changing - increasing as it moves closer to the earth and decreasing as it moves further from the earth. These principles are depicted in the diagram below.
genius_generous answered 1 year agoRelated Solutions
A satellite is put into an elliptical orbit around the Earth. When the satellite is at...
A satellite is put into an elliptical orbit around the Earth.
When the satellite is at its perigee, its nearest point to the
Earth, its height above the ground is hp=215.0 km,hp=215.0 km, and
it is moving with a speed of vp=8.450 km/s.vp=8.450 km/s. The
gravitational constant GG equals 6.67×10−11 m3⋅kg−1⋅s−26.67×10−11
m3·kg−1·s−2 and the mass of Earth equals 5.972×1024 kg.5.972×1024
kg.
When the satellite reaches its apogee, at its farthest point
from the Earth, what is its height haha above...
A satellite is put into an elliptical orbit around the Earth. When the satellite is at...
A satellite is put into an elliptical orbit around the Earth.
When the satellite is at its perigee, its nearest point to the
Earth, its height above the ground is ℎp=215.0 km, and it is moving
with a speed of ?p=8.850 km/s. The gravitational constant ? equals
6.67×10−11 m3·kg−1·s−2 and the mass of Earth equals 5.972×1024 kg.
When the satellite reaches its apogee, at its farthest point from
the Earth, what is its height ℎa above the ground? For this...
A satellite is put into an elliptical orbit around the Earth. When the satellite is at...
A satellite is put into an elliptical orbit around the Earth.
When the satellite is at its perigee, its nearest point to the
Earth, its height above the ground is hp=215.0 km,hp=215.0 km, and
it is moving with a speed of vp=8.450 km/s.vp=8.450 km/s. The
gravitational constant GG equals 6.67×10−11 m3⋅kg−1⋅s−26.67×10−11
m3·kg−1·s−2 and the mass of Earth equals 5.972×1024 kg.5.972×1024
kg.
When the satellite reaches its apogee, at its farthest point
from the Earth, what is its height haha above...
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