Mathematics, 05.02.2020 11:53 zeckwielen3398
The formula to find the period of orbit of a satellite around a planet is t2=(4π2gm)r^3 where r is the orbit’s mean radius, m is the mass of the planet, and g is the universal gravitational constant. if you are given all the values except r, how do you rewrite the formula to solve for r?
Answers: 1
![r=\sqrt[3]{\dfrac{T^2GM}{4\pi^2}}](/tpl/images/0503/7660/049f5.png)
![T^2=\dfrac{4\pi^2}{GM}r^3 \qquad\text{given formula}\\\\\dfrac{T^2GM}{4\pi^2}=r^3 \qquad\text{divide by the coefficient of the r factor}\\\\r=\sqrt[3]{\dfrac{T^2GM}{4\pi^2}} \qquad\text{cube root}](/tpl/images/0503/7660/ff50a.png)
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The formula to find the period of orbit of a satellite around a planet is t2=(4π2gm)r^3 where r is t...
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