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There have been suggestions that the value of the gravitational constant $G$ becomes smaller when considered over very large time period (in billions of years) in the future. If that happens, for our earth,
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we will be going around but not strictly in closed orbits
,
after sufficiently long time we will leave the solar system
we will be going around but not strictly in closed orbits
,
after sufficiently long time we will leave the solar system
We know that centripetal force is provided by gravitational force between the earth and the sun. $F_G=\frac{G M_s m_e}{r^2}$, where $M_s$ is mass of the sun and $m_e$ is mass of the earth.
According to Question, $G$ becomes smaller with time, the gravitational force $F_G$ will become reduced with time. As $F_G$ is changing with time. Due to it, the earth will be going around the sun not strictly in closed orbit and radius also increases, since the attraction force is getting reduced. Hence after long time the earth will leave the solar system.
According to Question, $G$ becomes smaller with time, the gravitational force $F_G$ will become reduced with time. As $F_G$ is changing with time. Due to it, the earth will be going around the sun not strictly in closed orbit and radius also increases, since the attraction force is getting reduced. Hence after long time the earth will leave the solar system.
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