2015
DOI: 10.1088/0264-9381/32/22/224007
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Precision spheres for the Gravity Probe B experiment

Abstract: Spherical gyroscope rotors for a fundamental experiment to test two predictions of General Relativity Theory, geodetic precession and frame dragging, were manufactured out of fused quartz and single-crystal silicon. These rotors required a mass unbalance and asphericity of less than 25 nm (1 μin), a fractional difference in the moments of inertia of less than 10−5, and a diameter within 0.5 μm (20 μin) of a standard sphere with a diameter of 37.996 mm (1.4959 in). We describe the manufacturing process and the … Show more

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Cited by 7 publications
(5 citation statements)
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“…Davidson Optronics and Speedring rough ground the fused silica blanks into spheres. These were lapped and polished at Stanford, yielding <20 nm peak deviation of the rotor surface from the best fit sphere [10,11]. Rotor asphericity was measured using a Talyrond Model 73 roundness measuring instrument [12], manufactured by the Rank Taylor Hobson Company, shown in figure 3.…”
Section: Gyroscope Overviewmentioning
confidence: 99%
“…Davidson Optronics and Speedring rough ground the fused silica blanks into spheres. These were lapped and polished at Stanford, yielding <20 nm peak deviation of the rotor surface from the best fit sphere [10,11]. Rotor asphericity was measured using a Talyrond Model 73 roundness measuring instrument [12], manufactured by the Rank Taylor Hobson Company, shown in figure 3.…”
Section: Gyroscope Overviewmentioning
confidence: 99%
“…This improvement resulted from conservative assumptions made prior to launch combined with a post-launch rotor mass unbalance that was lower than the pre-flight estimate. The actual rotor mass unbalances ranged from 10.1 to 4.8 nm or 65% to 300% smaller than pre-launch worstcase estimates [19,20]. Centrifugal bulge was approximately a factor of four smaller than expected due to reduced rotor spin speed.…”
Section: Treatment Of Systematic Errorsmentioning
confidence: 81%
“…The machine was designed and manufactured at PTB. A similar machine design in a simpler technical performance is known from the NASA Gravity Probe B experiment [4,109]. The lapping processes employed different sizes of alumina grain (Al2O3) in aqueous solution.…”
Section: Avogadro Experimentsmentioning
confidence: 99%