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tests:sphtri:results [2014/11/09 15:02] – [Spherical steady state model fit using full 6D data and assuming NFW profile] wenting.wangtests:sphtri:results [2022/10/24 12:26] (current) – external edit 127.0.0.1
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 al. 2014]]), and in particular finished 2nd among 25 algorithms on determining al. 2014]]), and in particular finished 2nd among 25 algorithms on determining
 M<sub>200</sub> of groups and clusters from a mock built by a semi-analytical model of M<sub>200</sub> of groups and clusters from a mock built by a semi-analytical model of
-galaxy formation (Old et al. in prep.).+galaxy formation ([[http://adsabs.harvard.edu/abs/2015MNRAS.449.1897O|Old et al. 2015]]).
  
 MAMPOSSt was run on the 8 non-tangential models of the default mock data MAMPOSSt was run on the 8 non-tangential models of the default mock data
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 observer placed along the z axis, using 3 random subsets of 1000 stars (among observer placed along the z axis, using 3 random subsets of 1000 stars (among
 10,000) and 10 random subsets of 100 stars. The outermost star considered was 10,000) and 10 random subsets of 100 stars. The outermost star considered was
-5 times the radius of slope -2 of the true number density profile. MAMPOSSt was run in 3 increasing levels of difficulty: +5 times the radius of slope --2 of the true number density profile. MAMPOSSt was run in 3 increasing levels of difficulty: 
  
-//Easy//: The tracer number density is known. The shape of the velocity+//Easy//: The tracer number density profile is known. The shape of the velocity
 anisotropy profile is known, but for OM anisotropy, the radius of transition anisotropy profile is known, but for OM anisotropy, the radius of transition
 is a free parameter. The mass density profile is assumed to be a generalized NFW is a free parameter. The mass density profile is assumed to be a generalized NFW
-(where the inner slope, radius of slope -2 and normalization are free+(where the inner slope, radius of slope --2 and normalization are free
 parameters). Hence, there are 3 to 4 free parameters depending on whether the parameters). Hence, there are 3 to 4 free parameters depending on whether the
 system has isotropic or OM velocities, respectively. system has isotropic or OM velocities, respectively.
  
 //Hard//: Like Easy, but the velocity anisotropy is assumed to be of the [[http://adsabs.harvard.edu/abs/2007A%26A...476L...1T|Tiret+07]] //Hard//: Like Easy, but the velocity anisotropy is assumed to be of the [[http://adsabs.harvard.edu/abs/2007A%26A...476L...1T|Tiret+07]]
-(with //β//<sub>0</sub>=0, i.e. generalized [[http://adsabs.harvard.edu/abs/2005MNRAS.363..705M|Mamon-Lokas 2005b]]) form, where the transition radius is set +(with //β//<sub>0</sub>=0, i.e. generalized [[http://adsabs.harvard.edu/abs/2005MNRAS.363..705M|Mamon-Lokas 2005b]]) form: //β//(//r//) = //β//<sub>∞</sub> 
-to the radius of slope -2 of the number density profile: //β//(//r//) = //β//<sub>∞</sub> +//r// / (//r//+//r//<sub>--2</sub>), where the transition radius is set 
-//r// / (//r//+//r//<sub>-2</sub>). The number of free parameters is 4.+to the radius of slope --2 of the number density profile. This anisotropy model increases more gradually from inner isotropy to more radial outer anisotropy than does the OM model, and is more consistent with the anisotropy profiles in ΛCDM halos. The number of free parameters is 4.
  
 //Very Hard//: Like Hard, but the tracer number density profile is unknown, //Very Hard//: Like Hard, but the tracer number density profile is unknown,
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 Altgether, the total number of MAMPOSST runs was 8 x (3+10) x 3 = 312. Altgether, the total number of MAMPOSST runs was 8 x (3+10) x 3 = 312.
 The units used are kpc for scales, km/s for velocities, and M<sub>Sun</sub> for masses. The units used are kpc for scales, km/s for velocities, and M<sub>Sun</sub> for masses.
 +In all cases, the inner slope of the dark matter is allowed to vary from --2 to 0.
  
-**Presentation** (Thursday, Oct 30): in [[http://www.iap.fr/users/gam/GAIACHALLENGE/Mamon.pdf]]+**Presentation** (30 Oct 2014): in [[http://www.iap.fr/users/gam/GAIACHALLENGE/Mamon.pdf]]
  
 **Diagnostic plots of results** (for each of the 312 MAMPOSSt runs) are [[:tests:sphtri:results:mamposst|here]]. **Diagnostic plots of results** (for each of the 312 MAMPOSSt runs) are [[:tests:sphtri:results:mamposst|here]].
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 {{:tests:sphtri:contour_starsincusp3d.png}} {{:tests:sphtri:contour_starsincusp3d.png}}
  
-Mass seems to be over-estimated compared with the true value. +For this case, mass seems to be over-estimated compared with the true value 
 + 
 +<latex> 
 +    $1.171\times 10^9 M_\odot$. 
 +</latex> 
 + 
 +==== Discrete Jeans ==== 
 + 
 +Discrete framework from [[http://adsabs.harvard.edu/abs/2013MNRAS.436.2598W|Watkins et al. (2013)]]. Models are spherical JAM [[http://adsabs.harvard.edu/abs/2008MNRAS.390...71C|Cappellari 2008]] using LOS and PMs. 
 + 
 +Runs with 10000/1000/100 stars. 
 + 
 +Three levels: 
 +  * "easy_free" : Easy: 3 free parameters: rho0, r_dark, gamma_dark 
 +  * "aniso_free" : Medium: 4 free parameters: rho0, r_dark, gamma_dark, r_aniso 
 +  * "hard" : Hard: 6 free parameters: rho0, r_dark, gamma_dark, r_aniso, r_star, gamma_star 
 + 
 +Some bonus runs/tests... "easy_core" (fit for rho0 and r_dark, assuming gamma_dark=0); "easy_cusp" (fit for rho0 and r_dark, assuming gamma_dark=1); "aniso" (fir for r_aniso only). 
 + 
 +[[https://www.dropbox.com/sh/zo2q9j0plm4185p/AADduuWWUOjbUvs53weCZHuja?dl=0|all results on dropbox]]
tests/sphtri/results.1415545337.txt.gz · Last modified: 2022/10/24 12:26 (external edit)