The Multi-Body Gravitational Problem

Part of the Progress in Mathematical Physics book series (PMP, volume 64)


Deducing the motion of bodies interacting gravitationally is probably the most important mechanical problem but also the most difficult. The threebody problem is not integrable, even if the masses are very small but of comparable size, and this fact prevents in general the use of perturbative methods.


Symplectic Manifold Poisson Structure Semimajor Axis Ecliptic Plane Small Eccentricity 
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Copyright information

© Springer Science+Business Media, New York 2013

Authors and Affiliations

  1. 1.MilanoItaly

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