Updated spacing between @ latex expressions

astrosander edited
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revision #10427 parent #8765 GitHub c702ebe ← older
en/2.6.48.md +3 −3
@@ -66,11 +66,11 @@
And the length of the semi-major axes could be expressed as
$$a = \frac{R+R_c}{2}$$
From Newton's third law
−$$\frac{T^2}{a^3}=\frac{4\pi ^2}{GM}$$
+$$\frac{T^2}{a^3}=\frac{4\pi^2}{GM}$$
After substituting all of the above expressions
−$$\frac{T^2}{a^3}=\frac{4\pi ^2}{GM}\Rightarrow {4}\frac{8t^2}{\left(R+R_c\right)^3}={4}\frac{\pi ^2}{gR^2}$$
+$$\frac{T^2}{a^3}=\frac{4\pi^2}{GM}\Rightarrow {4}\frac{8t^2}{\left(R+R_c\right)^3}={4}\frac{\pi^2}{gR^2}$$
After mathematical transformations
−$$\frac{8t^2}{\left(R+R_c\right)^3}=\frac{\pi ^2}{gR^2}$$
+$$\frac{8t^2}{\left(R+R_c\right)^3}=\frac{\pi^2}{gR^2}$$
From where we express the time of fall
$$\boxed{t=\pi\sqrt{\frac{R}{g} \frac{\left(1+R_c/R\right)^3}{8}}}$$
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