Underestimation of the tidal force and apsidal motion in close binary systems by the perturbative approach: Comparisons with non-perturbative models

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Table 3.

Decomposition of the apsidal motion of the modelled observed systems.

							contributions [%]

Targets	a/R₁	e					ℓ = 1	ℓ = 2	ℓ = 3	ℓ > 3	F′ρ′
			[°cycle⁻¹]	[°cycle⁻¹]	[°cycle⁻¹]	[°cycle⁻¹]
PV Cas^{(1, 2, 3)}	4.80	0.0325	0.0212(2)	0.0012	0.0192	0.0008	23	38	38	2	∼0
IM Per^(2, 4)	4.60	0.0491	0.0146(4)	0.0007	0.0131	0.0008	25	37	37	2	∼0
Y Cyg^{(5, 2, 3)}	4.95	0.145	0.0618(3)	0.0029	0.0565	0.0025	22	45	32	2	∼0
HD152248^(6, 7)	3.47	0.13	0.0293(13)	0.0026	0.0250	0.0018	23	42	32	2	∼0

Notes. The relativistic component of the apsidal motion is noted , is the contribution from the pertubative approach and is the correction induced by the non-perturbative approach. The latest contribution in then decomposed as spherical harmonics in the right region of the table noted contributions.

References. ⁽¹⁾Torres et al. (2010); ⁽²⁾Claret et al. (2021); ⁽³⁾Marcussen & Albrecht (2022); ⁽⁴⁾Lacy et al. (2015); ⁽⁵⁾Harmanec et al. (2014); ⁽⁶⁾Rosu et al. (2020a); ⁽⁷⁾Rosu et al. (2020b).

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