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Angular momentum decomposition in three-body Jacobi coordinates
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Branch of physics
Classical mechanics
Center of mass
Center-of-mass motion
Center-of-mass reduction
Jacobi coordinates for three particles
Created
2026-09-24
Updated
2026-09-24
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For
Jacobi coordinates
a
,
b
,
c
and their corresponding
reduced masses
α
,
β
,
γ
, total
angular momentum
is
L
=
α
a
×
a
˙
+
β
b
×
b
˙
+
γ
c
×
c
˙
.
(1)
Ancestors
(8)
Jacobi coordinates for three particles
Center-of-mass reduction
Center-of-mass motion
Center of mass
Classical mechanics
Branch of physics
Physics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 4
/
15B
/
Solution
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