# How can I "debounce" these TDRS satellite inclinations? (reconstruct the zero-crossings)

The plot below is from the question Why do the geosynchronous TDRS satellites have this distribution of inclinations?, and the explanation says

Inclination and mean motion (rev/day) for TDRS satellites from the first TLE found in the first week of each calendar year. Dot for TDRS13

The blips in mean motion are probably movement from one station to another, and the step downs (from 1.003 to circa 0.99 rev/day) are probably decommissionings to a higher graveyard orbit.

Interestingly, TDRS 8, 9 and 10 were inserted into orbits with substantial inclinations (6 to 8 degrees) that decreased with time over several years, before starting to increase again.

I'm guessing that the orbit doesn't "bounce" or suddenly change rate of inclination, but instead the way inclination is defined in the TLE it's probably always positive to save space (one less character) and the zero crossing shows up in another parameter in the TLE.

Question: How can I use more information frmo the TLEs to recover a sign for the inclination -- convert from 0 to 180 degrees to -90 to +90 degrees -- so that TRS numbers 8, 9 and 10 will cross zero circa 2010?.

• – uhoh
Jul 19, 2019 at 0:52
• IIRC try plotting the RAAN (Right ascension of the ascending node) alongside the inclination. I think the RAAN should jump by 180 degrees when the orbit 'bounces' from 0 degrees inclination. Jul 19, 2019 at 15:27
• @PeteBlackerThe3rd I'll give that a try, thanks!
– uhoh
Jul 19, 2019 at 15:45
• @PeteBlackerThe3rd Yes, see here: space.stackexchange.com/questions/41309/… and here space.stackexchange.com/questions/37449/… Feb 10, 2020 at 23:59