All Figures

	Figure 1: A schematic illustration of the geometry of a narrow spiral density stream showing that an observer sees a narrow absorption feature corresponding to the radial velocity of the stream material in front of the star at any moment (in the point-star approximation).
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In the text

	Figure 2: Comparison of approximate best fit -law parametric forms of w(x) with -law w(x)(Eqs. (19) and (25)) for w0=0.1. Solid lines represent -law and dotted lines represent -law. Parameters and are indicated within each panel.
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In the text

Figure 3: Obtaining the narrow-stream DAC dynamic spectrum  for given v(r) and : i) v and fix the shape of the physical CDR spiral in the corotating frame (see text); ii) converting radius to radial velocity gives the "velocity spiral''  ; iii) unwrapping  gives  , showing how the position of the absorption feature varies as a function of rotational phase (the three lines correspond to successive windings of the spiral - see Fig. 1). Note that for the narrow-stream inversion we only use the position of the absorption feature in the spectrum, , not the actual value of the optical depth. Figures are for a law with constant angular momentum ().

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In the text

Figure 4: Solution of the narrow-stream velocity inversion problem. The upper curve is an apparent Doppler shift law law, equivalent to that from a moving "puff'' following a law. The lower curve shows the inverse solution of the rotating narrow stream problem, namely the stream matter velocity law which would be required to produce the same observed Doppler shift as a function of time when rotation is included.

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In the text

	Figure 5: Ratio of apparent accelerations of a wide stream DAC peak (a*(w)) to a narrow stream DAC ( ) for various -laws for the input mass loss function with constants A, B specified in the text
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In the text

	Figure 8: [, noise free] As in Fig. 6, but for an underlying velocity law.
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In the text

	Figure 11: [, 10% errors] As in Fig. 6, but for an underlying velocity law and 10% errors.
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In the text

	Figure 14: [, 10% errors, 5% smearing] As in Fig. 6, but for an underlying velocity law, 10% errors and "velocity blurring'' at 5% of the terminal velocity.
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In the text

	Figure 17: [] As in Fig. 15, but for an underlying velocity law.
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In the text

	Figure 18: Inferred wind rotation law, W(x) for the dynamical spectrum shown in the left panel of Fig. 6a, that is, for a pure velocity law, with 10% errors added to the dynamical spectrum.
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In the text

Figure 6: [ , noise free] Simulated dynamical spectra (left) and recovered wind profiles (right) for: a) pure -law; b) -law with a broad plateau (half-width  ); c) -law with a narrow plateau ( ). In b) and c) the plateaux are centred on x=5 (see panels displaying the recovered w(x)). In all cases the underlying velocity law is a law, with a constant angular momentum rotation law and a broad Gaussian surface density profile (see the panel). For the dynamical spectra the horizontal axis is doppler velocity, between v=0 (stellar surface) at the right of each panel and terminal velocity at the left. The vertical axis is time (i.e., rotational phase). No noise or blurring is added. In the right panels the "true'' profiles are shown as dashed lines. Note that, for no noise or blurring, the true and inferred functions are almost completely indistinguishable.

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In the text

	Figure 7: [ , noise free] As in Fig. 6, but for an underlying velocity law.
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In the text

	Figure 9: [ , 10% errors] As in Fig. 6, but with 10% errors added to the dynamical spectrum.
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In the text

	Figure 10: [ , 10% errors] As in Fig. 6, but for an underlying velocity law and 10% errors.
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In the text

	Figure 12: [ , 10% errors, 5% smearing] As in Fig. 6, but with 10% errors added to the dynamical spectrum and "velocity blurring'' at 5% of the terminal velocity.
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In the text

	Figure 13: [ , 10% errors, 5% smearing] As in Fig. 6, but for an underlying velocity law, 10% errors and "velocity blurring'' at 5% of the terminal velocity.
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In the text

	Figure 15: [ ] Inferred wind rotation law, W(x)(i.e., ) for the error-free dynamical spectra shown in the left panels of Fig. 6, that is, for pure -law, wide-plateau and narrow-plateau velocity laws, with an underlying velocity law. The true rotation law (constant angular momentum, W(x)=1/x2) is shown as a dashed line).
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In the text

	Figure 16: [ ] As in Fig. 15, but for an underlying velocity law.
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In the text