I am trying to do some calculation on the 2-body problem but I am stuck as I need either the eccentricity or the periapsis of the orbit. I already have the orbital period which I assume as ~127 min as it is an LEO but that only gives me the semi-major axis. The rest of my equations (obtained from vis-viva equation) requires the eccentricity which I don't have.
I don't think it is possible to obtained the eccentricity from the period and thus, I think my only solution is to obtain from observational data. However there is not much info on equatorial orbit out there!