The spin state of asteroid Apophis and a prediction of its change during the 2029 close encounter with Earth

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Table 2

Nominal models.

Parameter	Model A	Model A*
λ [deg]	246.8	248.5
β [deg]	−87.2	−83.2
ϕ₀ [deg]	133	154
θ₀ [deg]	19.9	27.6
ψ₀ [deg]	21	193
I₁	0.607	0.586
I₂	0.9724	0.9735
P_ϕ [h]	27.37430	27.37412
P_ψ [h]	262.168	262.152
JD₀	2 456 300.555	2 456 284.676
$I_{1}^{sh}$ $Mathematical equation: $\[I_{1}^{\text {sh}}\]$$	0.605	0.612
$I_{2}^{sh}$ $Mathematical equation: $\[I_{2}^{\text {sh}}\]$$	0.9145	0.9166

Notes. The table lists parameters of the best models A and A*. Initial Euler angles ϕ₀, θ₀, ψ₀ cannot be directly compared as they correspond to different initial times JD₀. Parameters $I_{1, 2}^{s h}$ $Mathematical equation: $\[I_{1,2}^{\mathrm{sh}}\]$$ are normalized principal moments of inertia computed from the shape models (Fig. 4) assuming uniform density.

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