Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three dimensional Doppler tomography   Doppler tomography is a method to compute the emissivity distribution within
the co-rotating frames of binary stars from observations of their emission line
profiles at multiple orbital phases. A key assumption of the method as it is
usually applied is that all gas flow is parallel to the orbital plane of the
binary. In this paper I examine the possibility of lifting this assumption to
allow for motion parallel to the orbital "$z$" axis of the binary as well. I
show that the problem is best considered in Fourier space, and that line
profiles directly constrain the 3D Fourier transform of the 3D Doppler image in
velocity space, but only over the 2D surface of a double-cone centred upon the
origin, and aligned with the axis reciprocal to the $v_z$ velocity axis. Hence
the full information needed for the recovery of the 3D emissivity distribution
is simply not available. Despite this, an inversion method is presented and
tested on a number of simulated images. While artefacts resulting from the
missing information do appear, the tests suggest that there could be some value
in applying 3D Doppler tomography to data from real systems, although
considerable care is needed when doing so.

19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph