Table 1.

Three sets of the odd zonal gravitational coefficients $J_{2n+1},n=\mathrm{1,2,3,4}$: measured by the Juno spacecraft (9) and computed from both the shallow and deep cloud-level winds models using the thermal-gravitational wind Eq. 4

Odd coefficients	Measured	Deep model	Shallow model
$J_3/10^{-8}$	$-4.24\pm 0.91$	−3.54	−4.24
$J_5/10^{-8}$	$-6.89\pm 0.81$	−7.56	−6.83
$J_7/10^{-8}$	$12.39\pm 1.68$	12.62	12.33
$J_9/10^{-8}$	$-10.58\pm 4.35$	−9.28	−10.03

Both of our models are able to produce all of the four odd gravitational coefficients measured by the Juno spacecraft within the error bars.