An Alternative Lunar Ephemeris Model for On-Board Flight Software Use

Statistics – Applications

Scientific paper

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Moon, Position (Location), Ephemerides, Precession, Airborne/Spaceborne Computers, Applications Programs (Computers), Cartesian Coordinates, Spherical Coordinates, Mathematical Models, Error Analysis

Scientific paper

In calculating the position vector of the Moon in on-board flight software, one often begins by using a series expansion to calculate the ecliptic latitude and longitude of the Moon, referred to the mean ecliptic and equinox of date. One then performs a reduction for precession, followed by a rotation of the position vector from the ecliptic plane to the equator, and a transformation from spherical to Cartesian coordinates before finally arriving at the desired result: equatorial J2000 Cartesian components of the lunar position vector. An alternative method is developed here in which the equatorial J2000 Cartesian components of the lunar position vector are calculated directly by a series expansion, saving valuable on-board computer resources.

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