Answer:
Since \[K=\frac{GMm}{2r}=|E|=\frac{|U|}{2},\]
all energies
vary with r hyperbolically. Hence, \[(K\,vs\,r),\,(U\,vs\,r)\]and \[(E\,vs\,r)\]
graphs are
rectangular hyperbolas.
Negative
total energy \[\left( E=\frac{GMm}{2r} \right)\] signifies that the system [Earth (M)
+ Satellite (m)] is a bounded system.
If
the satellite has an orbit of radius r, its total energy must be negative.
If \[E\ge
U,\] the
satellite will no more be bound to the Earth.
When
\[r\to 0,\,|Energy|\to \infty \] and when \[r\to \infty ,\,|Energy|\to 0.\]
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