Statistics – Computation
Scientific paper
Nov 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phdt.........8p&link_type=abstract
Thesis (PhD). PRINCETON UNIVERSITY, Source DAI-B 61/05, p. 2578, Nov 2000, 126 pages.
Statistics
Computation
3
Scientific paper
This thesis explores a new version of the numerical action method and its application to astronomical data sets. It presents a mixed canonical transformation of the action which reformulates the cosmological boundary conditions to fix the present angular positions and redshifts, imposes a special constraint which permits the computation of orbits relative to a reference galaxy that is itself in motion, and solves for the orbits by matrix inversion, exploring the degenerate space of solutions by randomizing the initial orbital configurations. This new action is applied to several astronomical catalogs, confirming previous results using earlier applications of the method. A method of determining individual galaxy masses is introduced, with potential application to the analysis of Local Group dynamics. A preliminary investigation of galaxy transverse velocities is undertaken, highlighting the rich possibilities of this potential data set, and the first predictions of these motions for galaxies in the Local Group are given. Finally, the predictions of the action method in a controlled environment are tested in both particle- particle and particle-mesh simulations. In the former, the ability of the action method to reconstruct individual particle orbits to high precision is demonstrated, while global cosmological parameters can be successfully predicted in both types of simulation.
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