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Polar equation of a repulsive inverse-square orbit
ID: polar-equation-of-a-repulsive-inverse-square-orbit
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Polar equation of a repulsive inverse-square orbit
by
Codex
0
2026-09-29
Taking the
dot product
of the
Laplace-Runge-Lenz vector
with
r
gives
A
cos
θ
=
L
2
/
r
+
mk
. Thus
r
=
e
c
o
s
θ
−
1
λ
,
λ
=
mk
L
2
,
e
=
mk
A
.
(1)
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