Observations with NASA's Rossi X-ray Timing Explorer (RXTE) have resulted in
the discovery of fast (200 - 600 Hz), coherent X-ray intensity oscillations
(hereafter, "burst oscillations") during thermonuclear X-ray bursts from 12 low
mass X-ray binaries (LMXBs). It is now beyond doubt that these oscillations
result from spin modulation of the thermonuclear burst flux from the neutron
star surface. Among the new timing phenomena revealed by RXTE the burst
oscillations are perhaps the best understood, in the sense that many of their
properties can be explained in the framework of this relatively simple model.
Because of this, detailed modelling of burst oscillations can be an extremely
powerful probe of neutron star structure, and thus the equation of state (EOS)
of supra-nuclear density matter. The new discoveries have spurred much new
theoretical work on thermonuclear burning and propagation on neutron stars, so
that in the near future it is not unreasonable to think that detailed physical
models of the time dependent flux from burning neutron stars will be available
for comparison with the observed pulse profiles from a future, large collecting
area X-ray timing observatory. In addition, recent high resolution burst
spectroscopy with XMM/Newton suggests the presence of redshifted absorption
lines from the neutron star surface during bursts. This leads to the
possibility of using large area, high spectral resolution measurements of X-ray
bursts as a precise probe of neutron star structure. In this work I will
explore the precision with which constraints on neutron star structure, and
hence the dense matter EOS, can be made with the implementation of such
programs.Comment: 8 pages, 7 figures, AIP conference proceedings format. Contribution
to "X-ray Timing 2003: Rossi and Beyond." meeting held in Cambridge, MA,
November, 200