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Physics
Physics
Problem
Show that for a planet moving in an elliptical orbit of eccentricity
e
e
e
, the ratio of its perihelion speed
v
p
v_{\!p}
v
p
to its aphelion speed
v
a
v_{\!a}
v
a
is
v
p
v
a
=
1
+
e
1
−
e
.
\frac{v_{\!p}}{v_{\!a}} = \frac{1+e}{1-e}.
v
a
v
p
=
1
−
e
1
+
e
.
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