Potentialities of Lunar laser range-differencing for measuring the Earth's orientation

Computer Science

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Scientific paper

Range differences, as derived by differencing simultaneously measured ranges from two stations to one and the same lunar reflector, are investigated regarding their capabilities for determining the orientation of the earth in an earth-moon reference system. Each pair of co-observing stations forms an observational unit (line) which is located preferably along a meridian or parallel. For a time interval which lasts from the instant of the first simultaneous observation of the most eastern line to the last observation of the most western line, assuming a reasonable observational rate and incorporating observations for which the zenith distance does not exceed 70 degrees, an analysis of variance shows that the pole position and the earth rotation can be computed independently of errors in the adopted lunar ephemeris and with at least measurement accuracy given a design which consists of two north-south lines being separated by 90 degrees and one east-west line. In the case of one north-south line the standard deviation of the meridional polar motion component does not exceed three times the measurement accuracy. As long as the stations are located within 10° to 15° in north-south or east-west direction the standard deviations of the parameters do not increase significantly, The lengths of north-south and east-west lines can vary between 60° to 80° and 40° to 60° respectively. The existing lunar ranging stations in Australia, Japan, Texas and Hawaii could be used to test the suggested method.

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