Semianalytic Satellite Theory
NAVAL SURFACE WARFARE CENTER DAHLGREN VA
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The equations of motion for artificial Earth satellites are solved by semianalytic techniques. The force model includes an arbitrary gravity field for the Earth as well as Moon and Sun. All tesseral harmonics are examined for the presence of resonance. Any resonant term is classified according to its period and amplitude. Those exhibiting deep resonance long-periodic are integrated numerically. Shallow resonance terms intermediate period are evaluated analytically. Additional tests decide whether short-periodic terms are discarded or calculated analytically. Primary variables of the theory are the non-singular Poincare elements.