Differentiating formation models with new dynamical masses for the PDS 70 protoplanets

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Table 5

Period ratios between the PDS 70 planets.

Period ratio	Astrometry	Coplanar	Stable	Stable (incl. A-body)
c:b	b, c	${1.99}_{- 0.13 (- 0.26)}^{+ 0.15 (+ 0.29)}$ $1.99_{ - 0.13( - 0.26)}^{+ 0.15( + 0.29)}$	${2.02}_{- 0.13 (- 0.25)}^{+ 0.15 (+ 0.29)}$ $2.02_{ - 0.13( - 0.25)}^{+ 0.15( + 0.29)}$	${2.08}_{- 0.12 (- 0.23)}^{+ 0.13 (+ 0.22)}$ $2.08_{ - 0.12( - 0.23)}^{+ 0.13( + 0.22)}$
c:b	b, c, d	${2.11}_{- 0.13 (- 0.24)}^{+ 0.13 (+ 0.28)}$ $2.11_{ - 0.13( - 0.24)}^{+ 0.13( + 0.28)}$	${2.17}_{- 0.12 (- 0.25)}^{+ 0.13 (+ 0.26)}$ $2.17_{ - 0.12( - 0.25)}^{+ 0.13( + 0.26)}$	${2.16}_{- 0.05 (- 0.23)}^{+ 0.09 (+ 0.21)}$ $2.16_{ - 0.05( - 0.23)}^{+ 0.09( + 0.21)}$
b:d	b, c, d	${1.90}_{- 0.32 (- 0.56)}^{+ 0.41 (+ 0.91)}$ $1.90_{ - 0.32( - 0.56)}^{+ 0.41( + 0.91)}$	${2.7}_{- 0.5 (- 0.8)}^{+ 0.6 (+ 1.2)}$ $2.7_{ - 0.5( - 0.8)}^{+ 0.6( + 1.2)}$	${2.7}_{- 0.6 (- 0.6)}^{+ 0.5 (+ 1.3)}$ $2.7_{ - 0.6( - 0.6)}^{+ 0.5( + 1.3)}$
c:d	b, c, d	${4.0}_{- 0.7 (- 1.3)}^{+ 0.9 (+ 1.9)}$ $4.0_{ - 0.7( - 1.3)}^{+ 0.9( + 1.9)}$	${5.8}_{- 1.0 (- 1.7)}^{+ 1.3 (+ 2.6)}$ $5.8_{ - 1.0( - 1.7)}^{+ 1.3( + 2.6)}$	${6.1}_{- 1.5 (- 1.6)}^{+ 1.2 (+ 2.3)}$ $6.1_{ - 1.5( - 1.6)}^{+ 1.2( + 2.3)}$

Notes. The period ratios from the fits using only astrometry from PDS 70 b and c are shown in the first row. The remaining rows show the period ratios between each pair of planets from the fits where astrometry from b, c and the candidate d is used. For each fit the median value of the posterior is shown, with subscripts and superscripts listing the 68% and 95% CIs (with the 95% CIs in parentheses).

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