Initial Data
Newton's law of universal gravitation is usually stated as that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
$$F_{1}=F_{2}=G\frac{m_{1}m_{2}}{r^{2}}$$ $$G=6,67430(15) \times 10^{-11} \frac{N\times m^{2}}{kg^{-2}}$$