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 4.

Decomposition of the apsidal motion of the modelled observed systems including the ℓ = 3 term of the perturbative approach.

					contributions [%]

Targets					ℓ = 1	ℓ = 2	ℓ = 3	ℓ > 3
	[°cycle⁻¹]	[°cycle⁻¹]	[°cycle⁻¹]	[°cycle⁻¹]
PV Cas^{(1, 2, 3)}	0.0212(2)	0.0012	0.0194	0.0006	31	53	14	2
IM Per^(2, 4)	0.0146(4)	0.0007	0.0133	0.0005	33	50	14	3
Y Cyg^{(5, 2, 3)}	0.0618(3)	0.0029	0.0570	0.0020	29	59	11	2
HD152248^(6, 7)	0.0293(13)	0.0026	0.0255	0.0013	30	55	12	3

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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