Models, figures and gravitational moments of Jupiter’s satellite Io: Effects of the second order approximation

Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

The effects of the equilibrium figure theory to within terms of the second order in a small parameter α on figure parameters and gravitational moments of the Galilean satellite Io have been considered. Integro-differential equations of the theory of figure to second order have been first solved numerically. Relations between the low-order coefficients of the gravitational field for satellites in hydrostatic equilibrium are generalized according to the second order theory. To show the effects of the second approximation, two three-layer trial models of Io are used. The considered models of the Io’s interiors differ by the size and density of the core, while having the same thickness and density of the crust, and the mantle density difference is only 20 kg/m3. The corrections of second order in smallness to the gravitational moments J2 and C22 decrease the third decimal digit of model gravitational moments by two units. As the effects of third and forth harmonics are determined mostly by outer layers of Io, to distinguish between model mantle density, the gravitational moments J4, C42 and C44 should be determined to accuracy with three or four decimal digits. The second order corrections mostly effect the semi-axis a, and less the semi-axes b and c.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Models, figures and gravitational moments of Jupiter’s satellite Io: Effects of the second order approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Models, figures and gravitational moments of Jupiter’s satellite Io: Effects of the second order approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Models, figures and gravitational moments of Jupiter’s satellite Io: Effects of the second order approximation will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1124876

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.