On Variational Dynamics in Redshift Space

Details On Variational Dynamics in Redshift Space On Variational Dynamics in Redshift Space

1998-03-22

arxiv.org/abs/astro-ph/9803259v1

Astronomy and Astrophysics

Astrophysics

To appear in AJ

Scientific paper

10.1086/300383

Peebles (1989) showed that in the gravitational instability picture galaxy orbits can be traced back in time from a knowledge of their current positions, via a variational principle. We modify this variational principle so that galaxy redshifts can be input instead of distances, thereby recovering the distances. As a test problem, we apply the new method to a Local Group model. We infer M = 4 to 8 x 10^{12} M_sun depending on cosmology, implying that the dynamics of the outlying Local Group dwarves are consistent with the timing argument. Some algorithmic issues need to be addressed before the method can be applied to recover nonlinear evolution from large redshift surveys, but there are no more difficulties in principle.

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