A mathematical description of the low-altitude satellite mission planning tool (LAMP)

Mathematics

Scientific paper

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Artificial Satellites, Mission Planning, Computer Programs, Diurnal Variations, Ephemerides, Harmonics, Independent Variables, Low Altitude, Mathematical Models, Solar Orbits

Scientific paper

The Low-Altitude Mission Planning tool is capable of providing accurate long-term (approx. 90 day) predictions of key Keplerian orbit parameters and related quantities for one or two low-altitude satellites. Analytically modeled averaged variational equations are used to represent the effects of the geopotential oblateness upon satellite motion. Satellite drag perturbations are taken into account using a hybrid drag decay model which accounts for atmospheric oblateness and diurnal density variation. Adjustments to orbital parameters due to thrusting are modeled using analytical results obtained fom the Lagrange Planetary equations when impulsive thrusting is assumed. Propellant mass expenditures can also be obtained. This planning tool has application in the following areas: Operational interruption prediction; Propellant depletion rate studies; Operational flight strategy development; Orbit adjust impact assessment, and General mission planning.

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