Impact of rotation on synthetic mass–radius relationships of two-layer rocky planets and water worlds

Open Access

Table D.1

Coefficients c_ij for the mass–radius relationship fitted with Eq. (12) for single-layer planet, with rotation^⋆.

	j = 0	j = 1	j = 2
▼ iron
c_0j	-0.1010472	+0.1568129	+0.1055179
c_1j	+0.2933768	+0.0125997	+0.0188474
c_2j	-0.0183993	+0.0005275	+0.0022197

▼ perovskite
c_0j	+0.0105736	+0.1542161	+0.1021337
c_1j	+0.3010116	+0.0103719	+0.0156375
c_2j	-0.0152144	+0.0003446	+0.0022846

▼ water
c_0j	+0.1483707	+0.1569754	+0.1060086
c_1j	+0.2929471	+0.0118541	+0.0178539
c_2j	-0.0172474	+0.0004563	+0.0020234

^⋆The exponent of the power-law for a static, one Earth’s mass body is indicated (bold), as well as the linear contribution of rotation (red).

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