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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 316
/
2
/
i
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2021
iii
Paper 316
2
i
2026-09-28
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The unit binary separation and unit
mean motion
imply through
Kepler third law
that
μ
1
+
μ
2
=
1.
(1)
The
centre of mass
conditions put
M
1
at
x
1
=
−
μ
2
and
M
2
at
x
2
=
μ
1
. Therefore
r
1
=
(
x
+
μ
2
)
2
+
y
2
+
z
2
,
r
2
=
(
x
−
μ
1
)
2
+
y
2
+
z
2
.
(2)
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Paper 316
iii
2021
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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