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Statement of the two-body problem in the parameters of the extended Galilei group

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Abstract

The classical mechanical problem on the motion on a system of two or several bodies is stated in terms of parameters of the 13-parameter extended Galilean group (translations, rotations, boosts, and gravitational transformations) without using such traditional notions as “point” and “force.”

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Authors and Affiliations

  1. Korolev Rocket and Space Corporation “Energia,”, Lenina 4A, Korolev, Moscow Oblast, 141070, Russia

    V. F. Chub

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  1. V. F. Chub
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Correspondence to V. F. Chub.

Additional information

Original Russian Text © V.F. Chub, 2012, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2012, No. 4, pp. 16–20.

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Chub, V.F. Statement of the two-body problem in the parameters of the extended Galilei group. Mech. Solids 47, 385–389 (2012). https://doi.org/10.3103/S0025654412040036

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