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Next: The Lagrangian Up: The Dynamics of Galaxies Previous: Hamilton's principle

Equations of Motion


Let us now return to the specific system dealt with in this thesis; i.e. a set of particles i (galaxies) of mass tex2html_wrap_inline5391 , expressed in comoving coordinates tex2html_wrap_inline5503 (see equation (2.5)) in an expanding universe with a mean mass density tex2html_wrap_inline5249 . The goal of this section is to determine the equations of motion for these particles using Hamilton's principle from the previous section, but first, we need an expression for the scalar function tex2html_wrap_inline5449 , the Lagrangian.

Trond Hjorteland
Mon Jul 5 02:59:28 MET DST 1999