Tesseral harmonics of 13th order from the analysis of satellite orbits at resonance

Resonant satellite orbit analyses at 13th order are used to determine individual tesseral harmonic coefficients of order 13 in the geopotential. Four analyses are utilized in total, two of which are from recent analyses which yielded results of very high precision. The linear equations are solved by a modified least squares technique in order to determine ten C, S pairs of harmonic coefficients at odd degree and seven C, S pairs at even degree. The results are constrained to the JGM2 gravity field model.