# Armageddon

If the Earth were suddenly stopped in its orbit, how long in days would it take for it to collide with the Sun?

Details and Assumptions

• Regard the Sun and Earth as fixed point masses.

• Mass of the Sun, $$M=1.989\times 10^{30} \text{kg}$$.

• Mass of Earth, $$m=5.972\times 10^{24} \text{kg}$$.

• Distance Earth to the Sun, $$R=1.496\times 10^{8} \text{km}$$.

• The gravitational constant, $$G=6.674\times 10^{-11} \text{m}^3\text{kg}^{-1}\text{s}^{-2}$$.

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