Statistics – Applications
Scientific paper
May 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999flme.symp..175s&link_type=abstract
1999 Flight Mechanics Symposium, p. 175
Statistics
Applications
Ephemerides, Mathematical Models, Series Expansion, Moon, Cartesian Coordinates, Positioning, Ecliptic, Latitude, Longitude, Precession, Position Errors, Airborne/Spaceborne Computers, Applications Programs (Computers), 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 onboard computer resources.
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