Satellites

IntroductionKeplerian motion1.1 Preamble1.2 Acceleration1.3 Central acceleration1.4 Newtonian acceleration1.5 Keplerian motion : trajectory and period1.6 The three anomalies1.7 Representation of the anomalies1.8 Integrals of motion1.9 Historical note on universal attraction1.10 Annex : EllipsesSatellites on keplerian orbit2.1 Gravitational field2.2 The N-body and the two-body problem2.3 Orbital parameters2.4 Case of quasi-circular orbits2.5 Keplerian periodSatellites on real orbit (perturbed)3.1 Perturbing forces3.2 Terrestrial gravitational field (geopotential)3.3 Perturbations and satellite altitude3.4 Perturbation method : presentation3.5 Perturbation method : resolving3.6 Perturbation method applied to geopotential (J2 term)3.7 Perturbation method applied to geopotential (general case)3.8 Different definitions of the period3.9 Notes on precession motion3.10 Historical note on geodesy3.11 Terrestrial geoid3.12 Annex : Sphere of influence3.13 Annex : Lagrangian points3.14 Annex: Legendre's functions3.15 Annex : Spherical trigonometry3.16 Annex : Astronomical constantsOrbit / Earth / Sun relative motion4.1 Orbit motion4.2 Earth motion4.3 Apparent Sun motion4.4 Geosynchronism4.5 Sun-synchronismOrbit and track of the satellite5.1 Satellite position on its orbit5.2 Satellite track on circular orbits5.3 Classification of satellite orbits5.4 Classification of satellite missions5.5 Annex : Satellite velocity on circular orbit5.6 Annex : Duration of the satellite visibility5.7 Annex : Notions of map projectionsOrbit relative to the Sun6.1 Precession cycle6.2 Overpass time for a Sun-synchronous satellite6.3 Annex : Duration of the solar eclipseOrbit relative to the Earth7.1 Constraints for the repeat cycle7.2 Repeat cycle for a Sun-synchronous satellite7.3 Repeat cycle for a LEO non-Sun-synchronous satellite7.4 Repeat cycle for MEO and GEO satellites7.5 Study of the track grid7.6 Repeat cycle index7.7 Variation of the altitude7.8 Frozen orbitViews from the satellite8.1