meeting 2023 10 18 - JacobPilawa/TriaxSchwarzschild_wiki_5 GitHub Wiki

Context

• I went ahead and calculate the equivalent cutoffs for all parameters rather than just the black hole mass, and I've tabulated them here.
• While there is a bit of variation across parameters and realizations, the variations are not that significant and the mean equivalent cutoff needed is in the range of ~2.1 to ~2.6 for all cases

Here are the 1d panels showing chi2 vs parameters and the resulting 1sigma confidnce intervals when imposing the correct cutoffs.

BH	ML	M15	T	Tmaj	Tmin

Histograms of the resulting cutoffs needed

BH	ML	M15	T	Tmaj	Tmin

For completeness, here are the actual cutoff numbers for each G and each realization r

• Black hole

	r1	r2	r3	r4	r5
G1	1.674	2.112	1.833	2.012	3.088
G2	1.395	2.231	3.168	4.861	1.196
G3	4.303	3.466	3.048	4.562	4.423
G4	3.427	2.192	1.395	2.809	3.108
G5	2.032	2.212	1.514	1.972	1.714

• M/L

	r1	r2	r3	r4	r5
G1	1.953	1.933	0.478	2.829	3.307
G2	1.833	1.594	1.833	3.048	1.494
G3	4.084	2.809	2.590	4.064	3.128
G4	1.833	1.574	2.949	1.654	2.251
G5	0.319	2.212	2.212	1.116	2.112

• M15

	r1	r2	r3	r4	r5
G1	1.435	1.753	0.478	2.311	3.068
G2	1.076	1.614	1.654	3.745	2.251
G3	4.184	2.550	3.048	4.024	2.291
G4	1.096	0.996	3.427	2.291	2.251
G5	1.474	1.315	0.718	0.837	1.972

• T

	r1	r2	r3	r4	r5
G1	1.235	2.371	1.415	3.008	0.140
G2	1.494	1.614	2.132	2.829	2.032
G3	4.303	2.968	3.686	3.247	3.267
G4	0.658	1.295	1.674	2.251	3.028
G5	0.976	2.391	1.514	1.833	2.172

• Tmaj

	r1	r2	r3	r4	r5
G1	1.435	0.817	1.056	3.008	3.088
G2	1.494	1.753	0.459	3.486	2.012
G3	4.164	2.431	3.048	4.363	3.267
G4	3.227	2.231	3.307	2.251	4.124
G5	2.431	2.829	1.773	1.534	2.072

• Tmin

	r1	r2	r3	r4	r5
G1	1.953	2.012	3.287	1.893	3.925
G2	1.972	1.614	2.212	3.964	4.502
G3	5.299	2.550	3.427	2.192	3.267
G4	2.072	0.976	4.243	1.833	2.351
G5	2.052	2.929	2.212	0.239	2.391

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