Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...209.7405b&link_type=abstract
2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #74.05; Bulletin of the American Astronomical Society, V
Astronomy and Astrophysics
Astronomy
Scientific paper
The 3 spacecraft of the ESA/NASA Laser Interferometer Space Antenna (LISA) gravitational wave mission will fly in a nearly equilateral triangular configuration with the antenna center on a 1 year period circular orbit around the Sun. For the nominal 5 million km triangle side lengths and no planetary perturbations, the variations in the side lengths and angles of the triangle would be plus and minus 24,000 km and 0.45 deg. However, with planetary perturbations and for 20 deg separation from the Earth, the variations would change by at least a factor 2 over roughly 8 years. T. H. Sweetser (2006) has shown that this is due to the different secular rates of change in the mean motions of the 3 spacecraft. Each spacecraft has an eccentricity of 0.00965, and the one that is closest to the Earth when the Earth is closest to triangle will have a larger secular rate of change in its mean motion.
Each spacecraft follows the motion of a pair of test masses inside it that are carefully isolated from non-gravitational forces. By applying accelerations of up to 2.1x10-9 m/s2 to the test masses, the average differential effect of the Earth can be cancelled out. Forces can be applied by putting AC voltages on the capacitor plates around the test masses. However, the amplitudes of the voltages need to be very stable at frequencies down to 0.1 mHz in order to prevent introducing disturbances of the test masses. Thus a decision on whether to cancell the differential Earth effects has not yet been made.
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