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Appendix A: The velocity dispersion profile of NGC 4636

Appendix B: The stellar mass profile of NGC 4636

Here we give the piecewise approximation of the stellar mass profile of NGC 4636 (see Sect. 10.2) used in our modelling. In the following expressions, x is in units of parsec, D is the distance of NGC 4636 in Mpc (assumed to be D = 17.5 in our modelling), and Υ _⋆ ,R ( = 5.8) is the R-band stellar mass-to-light ratio.

For 0 < x ≤ 3.0·D: (B.1)for 3.0·D < x ≤ 29.184·D: (B.2)where a₀ = 1.322  ×  10⁷, a₁ =  −1.118  ×  10⁷, a₂ = 3.158  ×  10⁶, a₃ =  −9.127  ×  10⁴, and a₄ = 1.164  ×  10³.

For 29.184·D < x ≤ 104.49·D: (B.3)where b₁ = 9.616  ×  10⁶, b₂ = 1.034  ×  10⁶, b₃ =  −9.133  ×  10³, and b₄ = 25.78.

For 104.49·D < x ≤ 2597.9·D: (B.4)where c₀ = 6.101  ×  10⁸, c₁ = 4.31  ×  10⁷, c₂ − 1.507  ×  10⁴, and c₃ = 1.996

For x > 2597.9·D(B.5)where d₀ = 1.194  ×  10³, d₁ = 4.221  ×  10¹⁰, d2 =  −0.0668, and d3 = 0.003774.

Appendix C: Globular cluster velocities

Appendix D: Foreground star velocities

© ESO, 2012