Fab Four: When John and George Play Gravitation and Cosmology

Table 1

Values of the different 𝛼_𝑖 coeffcients (27a)–(27e) for planets and constraints given by INPOP10a for supplementary advances of perihelia (values given in [26]).

	𝛼1 (mas/cy/m^4)	𝛼2 (mas/cy/m^4)	𝛼3 (mas/cy/m^2)	𝛼4 (mas/cy/m)	𝛼5 (mas/cy/m^2)	𝑑𝜔/𝑑𝑡 (mas/cy) INPOP10a
Mercury	3.2×10^−32	4.85×10^−24	8.83×10^−11	19.4	8.2×10^−4	0.4±0.6
Venus	7.69×10^−34	2.53×10^−25	9×10^−12	3.89	1.65×10^−4	0.2±1.5
Earth	1.3×10^−34	5.9×10^−26	2.9×10^−12	1.73	7.33×10^−5	−0.2±0.9
Mars	1.36×10^−35	9.13×10^−27	6.77×10^−13	6.1×10^−1	2.58×10^−5	−0.04±0.15
Jupiter	1.51×10^−38	3.56×10^−29	9.06×10^−15	2.81×10^−2	1.19×10^−6	−41±42
Saturn	5.33×10^−40	2.3×10^−30	1.08×10^−15	6.16×10^−3	2.61×10^−7	0.15±0.65