Table 4. Open in new tab Ratios... | Oxford Academic

Table 4.

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Ratios |$\dot{\Gamma }_{\rm P}/ \dot{\Gamma }_{\rm RQ}$| and |$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$| for EMRIs and X-MRIs with θ = ±0.1 rad, around an MBH of mass M_MBH = 4.3 × 10⁶ M_⊙, and a_• = 0 or 0.999.

a_• = 0.0	\|$\dot{\Gamma }_{\rm P} / \dot{\Gamma }_{\rm RQ}$\|		\|$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$\|
	e_min	e_max	e_min	e_max
BD	14.429	21.712	1.364	2.057
WD	15.319	20.628	1.566	2.110
NS	18.360	20.408	1.913	2.127
BH	10.436	11.500	1.675	1.846
a_• = 0.999	\|$\dot{\Gamma }_{\rm P} / \dot{\Gamma }_{\rm RQ}$\|
	θ = 0.1 rad		θ = −0.1 rad
	e_min	e_max	e_min	e_max
BD	26.021	32.344	10.365	16.295
WD	26.396	30.533	11.234	15.751
NS	28.609	30.205	14.031	15.794
BH	14.990	15.788	8.366	9.396
a_• = 0.999	\|$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$\|
	θ = 0.1 rad		θ = −0.1 rad
	e_min	e_max	e_min	e_max
BD	2.693	3.349	0.936	1.477
WD	2.838	3.283	1.125	1.579
NS	3.114	3.288	1.433	1.614
BH	2.496	2.629	1.323	1.486

a_• = 0.0	\|$\dot{\Gamma }_{\rm P} / \dot{\Gamma }_{\rm RQ}$\|		\|$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$\|
	e_min	e_max	e_min	e_max
BD	14.429	21.712	1.364	2.057
WD	15.319	20.628	1.566	2.110
NS	18.360	20.408	1.913	2.127
BH	10.436	11.500	1.675	1.846
a_• = 0.999	\|$\dot{\Gamma }_{\rm P} / \dot{\Gamma }_{\rm RQ}$\|
	θ = 0.1 rad		θ = −0.1 rad
	e_min	e_max	e_min	e_max
BD	26.021	32.344	10.365	16.295
WD	26.396	30.533	11.234	15.751
NS	28.609	30.205	14.031	15.794
BH	14.990	15.788	8.366	9.396
a_• = 0.999	\|$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$\|
	θ = 0.1 rad		θ = −0.1 rad
	e_min	e_max	e_min	e_max
BD	2.693	3.349	0.936	1.477
WD	2.838	3.283	1.125	1.579
NS	3.114	3.288	1.433	1.614
BH	2.496	2.629	1.323	1.486

Table 4.

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Ratios |$\dot{\Gamma }_{\rm P}/ \dot{\Gamma }_{\rm RQ}$| and |$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$| for EMRIs and X-MRIs with θ = ±0.1 rad, around an MBH of mass M_MBH = 4.3 × 10⁶ M_⊙, and a_• = 0 or 0.999.

a_• = 0.0	\|$\dot{\Gamma }_{\rm P} / \dot{\Gamma }_{\rm RQ}$\|		\|$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$\|
	e_min	e_max	e_min	e_max
BD	14.429	21.712	1.364	2.057
WD	15.319	20.628	1.566	2.110
NS	18.360	20.408	1.913	2.127
BH	10.436	11.500	1.675	1.846
a_• = 0.999	\|$\dot{\Gamma }_{\rm P} / \dot{\Gamma }_{\rm RQ}$\|
	θ = 0.1 rad		θ = −0.1 rad
	e_min	e_max	e_min	e_max
BD	26.021	32.344	10.365	16.295
WD	26.396	30.533	11.234	15.751
NS	28.609	30.205	14.031	15.794
BH	14.990	15.788	8.366	9.396
a_• = 0.999	\|$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$\|
	θ = 0.1 rad		θ = −0.1 rad
	e_min	e_max	e_min	e_max
BD	2.693	3.349	0.936	1.477
WD	2.838	3.283	1.125	1.579
NS	3.114	3.288	1.433	1.614
BH	2.496	2.629	1.323	1.486

a_• = 0.0	\|$\dot{\Gamma }_{\rm P} / \dot{\Gamma }_{\rm RQ}$\|		\|$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$\|
	e_min	e_max	e_min	e_max
BD	14.429	21.712	1.364	2.057
WD	15.319	20.628	1.566	2.110
NS	18.360	20.408	1.913	2.127
BH	10.436	11.500	1.675	1.846
a_• = 0.999	\|$\dot{\Gamma }_{\rm P} / \dot{\Gamma }_{\rm RQ}$\|
	θ = 0.1 rad		θ = −0.1 rad
	e_min	e_max	e_min	e_max
BD	26.021	32.344	10.365	16.295
WD	26.396	30.533	11.234	15.751
NS	28.609	30.205	14.031	15.794
BH	14.990	15.788	8.366	9.396
a_• = 0.999	\|$\dot{\Gamma }_{\dot{p}=0}/ \dot{\Gamma }_{\rm RQ}$\|
	θ = 0.1 rad		θ = −0.1 rad
	e_min	e_max	e_min	e_max
BD	2.693	3.349	0.936	1.477
WD	2.838	3.283	1.125	1.579
NS	3.114	3.288	1.433	1.614
BH	2.496	2.629	1.323	1.486