$A$ star like the sun has several bodies moving around it at different distances. Consider that all of them are moving in circular orbits. Let $r$ be the distance of the body from the centre of the star and let its linear velocity be $v$,angular velocity $\omega$,kinetic energy $K$,gravitational potential energy $U$,total energy $E$ and angular momentum $l$. As the radius $r$ of the orbit increases,determine which of the above quantities increase and which ones decrease.

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(N/A) For a body of mass $m$ revolving around a star of mass $M$ in a circular orbit of radius $r$:
$1$. Linear velocity: $v = \sqrt{\frac{GM}{r}}$. As $r$ increases,$v$ decreases.
$2$. Angular velocity: $\omega = \frac{v}{r} = \sqrt{\frac{GM}{r^3}}$. As $r$ increases,$\omega$ decreases.
$3$. Kinetic energy: $K = \frac{1}{2}mv^2 = \frac{GMm}{2r}$. As $r$ increases,$K$ decreases.
$4$. Gravitational potential energy: $U = -\frac{GMm}{r}$. As $r$ increases,$U$ increases (becomes less negative).
$5$. Total energy: $E = K + U = -\frac{GMm}{2r}$. As $r$ increases,$E$ increases (becomes less negative).
$6$. Angular momentum: $l = mvr = m\sqrt{GMr}$. As $r$ increases,$l$ increases.

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