Mathematics, 01.02.2020 00:04 xonyemaa12
The formula to find the period of orbit of a satellite around a planet is t^2=(4pi^2/gm)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: 2
![r= \sqrt[3]{GMT^{2}/4 \pi^{2}}](/tpl/images/0491/6964/cc855.png)
to the other side of the equation:
![x^{3}= \sqrt[3]{x}](/tpl/images/0491/6964/23190.png)
, then![r^{3} = GMT^{2}/4 \pi^{2} \\ r= \sqrt[3]{GMT^{2}/4 \pi^{2}}](/tpl/images/0491/6964/1877d.png)
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The formula to find the period of orbit of a satellite around a planet is t^2=(4pi^2/gm)r^3 where r...
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