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[en] The homothetical transformation is used to establish a Hamiltonian function which is homogenous in a new set of variables. The order of the problem can then be reduced without introducing an arbitrary constant. The reduced system is no longer a Hamiltonian system but a contact system
[fr]La transformation infinitesimale d'homothetie permet de faire apparaitre un hamiltonien qui est homogene dans de nouvelles variables. L'ordre du probleme peut alors etre reduit sans l'introduction d'une constante arbitraire. Le systeme reduit n'est plus un systeme hamiltonien, mais un systeme de contact
[en] We construct static self-gravitation many-body systems in Einstein gravity. The configurations considered are deformations of static rigid-body systems, with multiple components, in Newtonian gravity. The conditions under which such systems can be constructed are analyzed and examples are given.
[en] This is a review of selected research topics from the field of many-body scattering theory; the work reviewed is chosen mainly from that of the past two years. The emphasis is on a qualitative description, and the areas covered are: interdisciplinary applications, formal and mathematical developments, controversies, and open questions. (orig.)