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Techniques d'observation spectroscopique d'astéroïdes

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66 CHAPTER 4. SPECTRAL ANALYSIS TECHNIQUES<br />

tel-00785991, version 1 - 7 Feb 2013<br />

different types of observations, new taxonomic classes were defined. Historically, the most<br />

widely used taxonomies are the following: Tholen [1984] and Barucci et al. [1987], which<br />

used data from the Eight-Color Asteroid Survey [Zellner et al., 1985] together with thermal<br />

albedo; Bus & Binzel [2002a], which used data from the SMASS2 survey; and DeMeo et al.<br />

[2009], which is an extension of a previous taxonomy scheme into the near-infrared.<br />

Statistical methods are used for defining taxonomic systems of asteroids. We point out two<br />

of them, namely principal component analysis (PCA) and the G-mode clustering method.<br />

Principal component analysis (PCA) is a method for reducing the dimensionality of a data<br />

set of M variables, involving linear coordinate transformations to minimize the variance. The<br />

first transformation rotates the data to maximize the variance along the first axis, known as the<br />

principal component 1 (PC1), then along the second axis - the second principal component, and<br />

so on. Overall, the new coordinates are ordered decreasingly in terms of the dispersion in the<br />

principal components.<br />

Bellow is the summary of Bus-DeMeo taxonomy in conformity with [DeMeo et al., 2009].<br />

The prototype asteroids (specified by their number) of each class and a short description is<br />

given.<br />

A : 246, 289, 863 - Deep and extremely broad absorption band, first minimum near 1 µm; may<br />

or may not have a shallow 2 µm absorption band; very highly sloped.<br />

B : 2, 3200 - Linear, negatively sloping often with a slight round bump around 0.6 µm and/or<br />

a slightly concave up curvature in the 1 to 2 µm region.<br />

C : 1, 10, 52 - Linear, neutral visible slope often a slight rough bump around 0.6 µm; low but<br />

positive slope after 1.3; may exhibit slight feature longword of 1 µm.<br />

Cb : 191, 210, 785 - Linear with a small positive slope that starts around 1.1 µm.<br />

Cg : 175 - Small positive slope that begins around 1.3 µm; pronounced UV dropoff.<br />

Cgh : 106, 706, 776 - Small positive slope that begins around 1 µm; pronounced UV dropoff<br />

similar to Cg; includes a broad, shallow absorption band centered near 0.7 µm similar to<br />

Ch.<br />

Ch : 19, 48, 49 - Small positive slope that begins around 1.1 µm; slightly pronounced UV<br />

dropoff; includes a broad, shallow absorption band centered near 0.7 µm.<br />

D : 1143, 1542, 3248 - Linear with very steep slope; some show slight curvature or gentle kink<br />

around 1.5 µm.<br />

K : 42, 579, 742 - Wide absorption band centered just longword of 1 µm; the fist maximum<br />

and the minimum are sharply pointed; the walls of the absorption are linear with very little<br />

curvature.<br />

L : 236, 402, 606 - Steep slope in visible region leveling out abruptly around 0.7 µm; there is<br />

often a gentle concave down curvature in the infrared with a maximum around 1.5 µm;<br />

there may or may not be a 2 µm absorption feature.

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