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: http://www.stsci.edu/~marel/abstracts/abs_R31.html
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The discussion is based on an analysis of spatial variations in the apparent magnitude of features in the near-IR color-magnitude diagrams extracted from the DENIS and 2MASS surveys. Sinusoidal brightness variations with a peak-to-peak amplitude of approximately 0.25 mag are detected as function of position angle. The same variations are detected for AGB stars (using the mode of their luminosity function) and for RGB stars (using the tip of their luminosity function), and these variations are seen consistently in all of the near-IR photometric bands in both DENIS and 2MASS data. The observed spatial brightness variations are naturally interpreted as the result of distance variations, due to one side of the LMC plane being closer to us than the opposite side. There is no evidence that any complicating effects, such as possible spatial variations in dust absorption or the age/metallicity of the stellar population, cause large-scale brightness variations in the near-IR at a level that exceeds the formal errors (approximately 0.03 mag). The best fitting geometric model of an inclined plane yields an inclination angle i = 34.7 +/- 6.2 degrees and line-of-nodes position angle Theta = 122.5 +/- 8.3 degrees. The quoted errors are conservative estimates that take into account the possible influence of systematic errors; the formal errors are much smaller, 0.7 and 1.6 degrees, respectively. There is tentative evidence for variations of approximately 10 degrees in the viewing angles with distance from the LMC center, suggesting that the LMC disk plane may be warped.
Traditional methods to estimate the position angle of the line of
nodes have used either the major axis position angle Theta_maj of the
spatial distribution of tracers on the sky, or the position angle
Theta_max of the line of maximum gradient in the velocity field, given
that for a circular disk Theta_maj = Theta_max = Theta. The present
study does not rely on the assumption of circular symmetry, and is
considerably more accurate than previous studies of its kind. We find
that the actual position angle of the line of nodes differs
considerably from both Theta_maj and Theta_max, for which measurements
have fallen in the range 140-190 degrees. This indicates that the
intrinsic shape of the LMC disk is not circular, but elliptical. Paper
II of this series explores the implications of this result through a
detailed study of the shape and structure of the LMC. The inclination
angle inferred here is consistent with previous estimates, but this is
to some extent a coincidence, given that also for the inclination
angle most previous estimates were based on the incorrect assumption
of circular symmetry.