jup-inner
SECTION 5. The Four Small “Inner” Satellites of Jupiter Orbital/Rotation Periods.
Jupiter has four large satellites. Between these four large satellites and Jupiter itself, there are (just) four small satellites, The Four “Inner Satellites”, which have the following orbital periods (which are the same as their rotation periods, due to “tidal locking), (expressed in Earth days):-
Metis 0.294780 and Adrastea 0.29826 and Amalthea 0.498179 and Thebe 0.674536 (Data source:- Solar System Dynamics, by Murray and Dermott, Published by Cambridge University Press, 2008, Appendix A, Table A.7. The satellites of Jupiter.)
Here is a scan of the relevant data from this above table. The column entitled T (d) stands for “Time”, expressed in Earth days, ie:- orbital periods.
(Note:- In this table below, the satellite Thebe is given the orbital period of 0.6745 Earth days. In fact, later investigations have shown that Thebe's orbital period = 0.674536 Earth days. To verify this, scroll down on this page, past the first table, to the scan from Wikipedia, which shows the latest measurement of this orbital period to be 0.674536 Earth days.)
To see the SYNODIC revolution/rotation period of Metis, scroll down to the bottom of this page.
The adjacent orbit pass periods of Jupiter’s Four Small “Inner” Satellites are calculated in the following manner:-
Metis/Adrastea Pass Period = 1 ÷ [(1 ÷ 0.294780) MINUS (1 ÷ 0.298260)] = 25.26468 Earth days.
Adrastea/Amalthea Pass Period = 1 ÷ [(1 ÷ 0.298260) MINUS (1 ÷ 0.498179)] = 0.743235 Earth days.
Amalthea/Thebe Pass Period = 1 ÷ [(1 ÷ 0.498179) MINUS (1 ÷ 0.674536)] = 1.90545 Earth days.
The SYNODIC revolution/rotation period of Metis is calculated in the following manner:-
Metis (sidereal) orbital/rotation period = 0.294780 Earth days. (See above)
Jupiter's orbital period = 4330.595 Earth days. To verify this, click on this link:-
Metis synodic revolution/rotation period =
1 ÷ [(1 ÷ 0.294780) MINUS (1 ÷ 4330.595)] = 0.294800 Earth days.