Ultra-cool dwarfs: new discoveries, proper motions, and improved spectral typing from SDSS and 2MASS photometric colors

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Volume 497 / No 2 (April II 2009)

A&A, 497 2 (2009) 619-633

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Table 4:

Parameters of fitting equations for color-type relationships.
Color	a	b	c	type	R	Sensitivity
				Range		Index^a
r-i	2.77242	0.01930	-0.00355	[10, 27.5]	0.62	0.073
i-z	0.89637	0.00812	0.00582	[13, 25]	0.89	0.225
i-J	4.46097	-0.12872	0.01099	[10, 25]	0.94	0.253
i-H	2.68743	0.22692	0	[10, 25]	0.92	0.227
i-K	2.04847	0.39856	-0.00567	[10, 25]	0.90	0.200
z-J	1.32530	0.10725	0	[10, 13.5]	0.59	0.107
z-J	0.61620	0.10826	0	[19, 26]	0.81	0.107
z-H	4.23705	-0.31004	0.02038	[10, 14]	0.70	0.158
z-H	4.60067	-0.03962	0	[17.5, 27.5]	0.53	0.040
z-K	3.93079	-0.21325	0.01860	[10, 14]	0.72	0.235
z-K	6.96601	-0.13083	0	[17.5, 27.5]	0.72	0.080
H-K	0.15050	0.03638	0	[10, 15]	0.40	0.040
H-K	2.19557	-0.08809	0	[17, 25]	0.66	0.088
J-H	0.06224	0.06903	0	[10,14]	0.49	0.088
J-H	5.58544	-0.21707	0	[20, 25]	0.90	0.100

Notes: the united polynomial fitting equation of color-spectral type relationships is: ${\rm color}=a+b({\rm type})+c({\rm type})^{2}$ , type = 10 for L0, 15 for L5, 20 for T0, 25 for T5; ^a Sensitivity indices are the rates of change of color ranges with spectral ranges covered by fitting lines.

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