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Because the small scattering angle results in a small observational angle, such a halo was not observed until the launch of the Einstein observatory, which has an angular resolution of several arcminutes.
Observations of this phenomena are possible only for some specific geometrical patterns (low elevation of the source and high observational angle relative to the satellite position).
By assuming the distance of Cyg X-1 to be 2.0 kpc, the increasing time lag at an increased observational angle indicates a dust concentration at a distance of 1.75 kpc from us.
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The observed light curves of the halos at different observational angles are thus just the realizations of the response function of a delta signal.
The scattering and observational angles in Fig. 1 are θ and φ, respectively.
Fig. 2. Lag time vs the scattering location x at different observational angles.
Figure 2 shows the typical lag time vs the scattering location x at observational angles of 10″, 30″, 60″, and 120″, respectively.
After subtracting the background photons, we can extract the halo surface brightness at different observational angles around the source directly with the scattered photons at a distance of 882±20 pc.
Such structures could in fact exist in other, previously discovered transient X-ray binary systems, hidden only by their observational angles.
S117 Results of the international multicentric prospective observational study Phase Angle Project: phase angle measured by bioimpedance analysis at intensive care unit (ICU) admission predicts 28-day survival.
Treatment of the valgus angle can be observational.
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