Physics
Scientific paper
Dec 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986esasp.255..345f&link_type=abstract
In ESA Proceedings of the Second International Symposium on Spacecraft Flight Dynamics p 345-348 (SEE N87-25354 19-18)
Physics
Ephemeris Time, Linearization, Orbital Mechanics, Parameterization, Time Functions, Degrees Of Freedom, Onboard Data Processing, Spacecraft Control, Spacecraft Motion
Scientific paper
It is shown that in artificial satellite theory, even including all zonal coefficients, Cid-Deprit's radial intermediary defines a system with only one degree of freedom describing the spacecraft's radial motion. In the case of small eccentricities, appropriate truncation of negligible terms produces a system integrable in closed form by elliptic integrals, giving r as a harmonic oscillator, provided the independent variable be changed to either a true or an eccentric anomaly. The solution is simple and concise enough to serve as the basis of an ephemeris generator running in real time on board a satellite.
Ferrer Sebastián
Sein-Echaluce María L.
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