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Physics
Physics
Problem
For a planet moving in an elliptical orbit of eccentricity
e
e
e
, the ratio of its linear speed at perihelion
v
p
v_{p}
v
p
to that at aphelion
v
a
v_{a}
v
a
is a)
1
−
e
1
+
e
\dfrac{1-e}{1+e}
1
+
e
1
−
e
b)
1
+
e
1
−
e
\sqrt{\dfrac{1+e}{1-e}}
1
−
e
1
+
e
c)
1
+
e
1
−
e
\dfrac{1+e}{1-e}
1
−
e
1
+
e
d)
1
+
e
2
1
−
e
2
\dfrac{1+e^{2}}{1-e^{2}}
1
−
e
2
1
+
e
2
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