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Show that for a planet moving in an elliptical orbit of eccentricity
PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation
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
.
Related theory
Conservation of Angular Momentum
Angular Momentum
Planetary Motion & Orbits
Gravitation
Kepler's laws
Kepler's laws of planetary motion
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