A short review of analytical and semi-analytical theories of geosynchronous satellite motion is presented. The intermediary orbit, where geopotential harmonic coefficients C20, C22, S22, C31, S31, C33, S33, C44, S44, C55, S55 as well as the second term in the series of luni-solar disturbing functions are incorporated, is applied. The given intermediate orbit can be used not only to compute preliminary epnemeris of the geosynchronous satellites (for time intervals as long as one year at least) but also for defining the conditional equations with respect to corrections to parameters of the geopotential.
The latter application on *22, λ22, *31, λ31, *33, λ33 results in the following minimum requirement of the observational data: data for 4 passive satellites, moving in the vicinity of both libration points (λ = 75° E, 105° W) having various libration amplitudes, for time intervals equivalent to a half of libration periods. and na místě nesrozumitelných řeckých znaků použity třikrát *