000706376 001__ 706376
000706376 003__ SzGeCERN
000706376 037__ $$aMP-ARC-2003-547
000706376 041__ $$aeng
000706376 100__ $$aCelletti, A
000706376 245__ $$aBasics of regularization theory
000706376 260__ $$c2003
000706376 269__ $$c2003
000706376 300__ $$amult. p
000706376 520__ $$aWe consider the dynamics of three point masses, where we assume that the mass of the third body is so small that it does not affect the motion of the primaries. In the framework of the "restricted" three-body problem, we investigate the collisional trajectories, which correspond to a singularity of the equations of motion. We investigate the regularizing techniques known as Levi-Civita, Kustaanheimo-Stiefel and Birkhoff transformations. The Levi-Civita regularization is adapted to the study of the "planar" restricted three-body problem, when considering a single collision with one of the primaries. The Kustaanheimo-Stiefel method concerns the same problem when the bodies are allowed to move in the 3-dimensional space. A simultaneous regularization with both primaries is achieved through the implementation of Birkhoff's transformation.
000706376 595__ $$aSIS MPARC2004
000706376 65017 $$2SzGeCERN$$aMathematical Physics and Mathematics
000706376 690C_ $$aPREPRINT
000706376 690C_ $$aPREPRINT
000706376 8564_ $$uhttp://www.ma.utexas.edu/mp_arc-bin/mpa?yn=03-547$$yAbstract from Mathematical Physics Preprint Archive mp_arc, Texas Univ.
000706376 916__ $$sn$$w200403
000706376 960__ $$a11
000706376 961__ $$c20060527$$h0012$$lCER01$$x20040116
000706376 963__ $$aPUBLIC
000706376 970__ $$a002421621CER
000706376 980__ $$aPREPRINT