Sold Out
Book Categories |
The phase space of the spatial three-body problem is an open subset in ${mathbb R}^{18}$. Holding the ten classical integrals of energy, center of mass, linear and angular momentum fixed defines an eight dimensional submanifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to ''critical points at infinity''. This disproves Birkhoff's conjecture that the bifurcations occur only at central configurations.
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish ListX
This item is in your CollectionThe integral manifolds of the three body problem
X
This Item is in Your InventoryThe integral manifolds of the three body problem
X
You must be logged in to review the productsX
X
X
Add The integral manifolds of the three body problem, The phase space of the spatial three-body problem is an open subset in ${\mathbb R}^{18}$. Holding the ten classical integrals of energy, center of mass, linear and angular momentum fixed defines an eight dimensional submanifold. For fixed nonzero angular, The integral manifolds of the three body problem to the inventory that you are selling on WonderClubX
X
Add The integral manifolds of the three body problem, The phase space of the spatial three-body problem is an open subset in ${\mathbb R}^{18}$. Holding the ten classical integrals of energy, center of mass, linear and angular momentum fixed defines an eight dimensional submanifold. For fixed nonzero angular, The integral manifolds of the three body problem to your collection on WonderClub |