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

Open Access

Fig. 2

Period scan. The plot shows the same data as in Fig. 1, but here the RMS residuals are color coded, and both the precession period P_ϕ and rotation period P_ψ are plotted to visualize the correlation between them. The best solutions with the lowest residuals (blue color) lie on the red dashed line that is in fact part of a hyperbola satisfying the relation $(P_{ϕ}^{- 1} - P_{ψ}^{- 1})^{- 1} = 30.5658 h$ $Mathematical equation: $\[(P_{\phi}^{-1}-P_{\psi}^{-1})^{-1}=30.5658 \mathrm{~h}\]$$ .

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