Practicing Success
Semi-minor axis of the orbit of satellite |
16.6 × 107 m 3.92 × 107 m 10.2 × 107 m 2.6 × 104 m |
3.92 × 107 m |
Eccentricity of the orbit e = $\left(1+\frac{2 EL^2}{G^2 M^2 m^3}\right)$ = 1 + $\frac{2 \times\left(-1.5 \times 10^{10}\right) \times\left(3.6 \times 10^{14}\right)^2}{\left(6.67 \times 10^{-11}\right)^2 \times\left(5.97 \times 10^{24}\right)^2 \times(5000)^3}$ = 0.804 Hence, semi–minor axis b = $a \sqrt{1-e^2}=6.6 \times 10^7 \sqrt{1-(0.804)^2}$ = 3.92 × 107 m |