 Radial action of the spherical isochrone model

ID: radial-action-of-the-spherical-isochrone-model

E < 0

L

J_{r} = \frac{GM}{- 2 E} - \frac{1}{2} (L + L^{2} + 4 GM b) .

Consequently the Hamiltonian in actions is

H (J_{r}, L) = - \frac{2 ( GM ) ^{2}}{( 2 J _{r} + L + L ^{2} + 4 GM b ) ^{2}} .

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