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Question
Physics
A satellite is in an elliptical orbit around the earth with aphelion of 6 R and perihelion of 2 R where R is the radius of the earth. The eccentricity of the orbit is
Q. A satellite is in an elliptical orbit around the earth with aphelion of
6
R
and perihelion of
2
R
where
R
is the radius of the earth. The eccentricity of the orbit is________
299
158
Gravitation
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Answer:
0.5
Solution:
r
p
=
2
R
;
r
A
=
6
R
As we know that
r
p
=
a
(
1
−
e
)
=
a
−
a
e
;
r
A
=
a
(
1
+
e
)
=
a
+
a
e
⇒
r
A
r
p
=
a
(
1
+
e
)
a
(
1
−
e
)
⇒
r
p
(
1
+
e
)
=
r
A
(
1
−
e
)
⇒
e
=
r
A
+
r
p
r
A
−
r
p
=
6
R
+
2
R
6
R
−
2
R
=
2
1
=
0.5