Tesseral harmonics of Jupiter from static tidal response

Abstract

The Juno Orbiter is measuring the three-dimensional gravity field perturbation of Jupiter induced by its rapid rotation, zonal flows, and tidal response to its major natural satellites. This paper aims to provide the contributions to the tesseral harmonics coefficients Cnm, Snm, and the Love numbers knm to be expected from static tidal response in the gravity field of rotating Jupiter. For that purpose, we apply the method of Concentric Maclaurin Ellipsoids (CMS). As we are interested in the variation of the tidal potential with the longitudes of the moons, we take into account the simultaneous presence of the satellites Io, Europa, and Ganymede. We assume co-planar, circular orbits with normals parallel to Jupiter's spin axis. The planet-centered longitude of Io in the three-moon case is arbitrarily assumed varphi = 0. Under these assumptions we find maximum amplitudes and fluctuations of 3.5 times 10^-8 +- 15% for C22. For the Love numbers, largest variation of 10% to 20% is seen in k42 and k62, whereas the values k2, k33, and k44 fall into narrow ranges of 0.1% uncertainty or less. In particular, we find k2=k2,Io(1 +- 0.02%) where k2,Io=0.5897 is the static tidal response to lone Io. Our obtained gravity field perturbation leads to a maximum equatorial shape deformation of up to 28m. We suggest that should Juno measurements of the knm deviate from those values, it may be due to dynamic or dissipative effects on Jupiter's tidal response. Finally, an analytic expression is provided to calculate the tesseral harmonics contribution from static tidal response for any configuration of the satellites.

Accepted to ApJ

References in corpus (11)

• Tidal dissipation in stars and giant planets
• Comparing Jupiter interior structure models to Juno gravity measurements and the role of a dilute core
• Tidal Evolution of Close-in Extra-Solar Planets
• Tidal friction in close-in satellites and exoplanets. The Darwin theory re-visited
• New models of Jupiter in the context of Juno and Galileo
• Inflating and Deflating Hot Jupiters: Coupled Tidal and Thermal Evolution of Known Transiting Planets
• Jupiter internal structure: the effect of different equations of state
• Low- and high-order gravitational harmonics of rigidly rotating Jupiter
• On the Juno Radio Science Experiment: models, algorithms and sensitivity analysis
• A complete study of the precision of the concentric MacLaurin spheroid method to calculate Jupiter's gravitational moments
• A Possible Mechanism for Driving Oscillations in Hot Giant Planets

Cited by in corpus (3)

• Dynamical tides in Jupiter and other rotationally flattened planets and stars with stable stratification
• Tidal Response and Shape of Hot Jupiters
• Creep tide theory. Equations for differentiated bodies with aligned layers