Precision spheres for the Gravity Probe B experiment

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 associated metrology.

[1]  D. DeBra,et al.  Polhode Motion, Trapped Flux, and the GP-B Science Data Analysis , 2009 .

[2]  Johannes A. Soons,et al.  Measuring Form and Radius of Spheres with Interferometry , 2004 .

[3]  Achim J. Leistner,et al.  High-precision large-diameter single-crystal silicon spheres: their fabrication and measurements of sphericity , 1995, Optics & Photonics.

[4]  Michael A. Player,et al.  Ultrahigh precision measurements of optical heterogeneity of high quality fused silica , 1995 .

[5]  A J Leistner,et al.  Fabrication and Sphericity Measurements of Single Crystal Silicon Spheres , 1994, Optical Fabrication and Testing Workshop.

[6]  G. Keiser,et al.  An ultra high vacuum low temperature gyroscope clock , 1990 .

[7]  R. D. Day,et al.  Spherical shape measurements using subaperture optical testing techniques , 1989 .

[8]  Bradford W. Parkinson,et al.  The Gravity-Probe-B relativity gyroscope experiment - Development of the prototype flight instrument , 1989 .

[9]  D. Gill,et al.  Requirements and an approach for coating the Gravity Probe B gyroscope rotor , 1988 .

[10]  G. Zosi,et al.  Polishing a 1-kg silicon sphere for a density standard. , 1987, Applied optics.

[11]  W. Angele Finishing high precision quartz balls , 1980 .

[12]  G. J. Siddall,et al.  High precision measurement of gyro rotor sphericity , 1980 .

[13]  David J. Whitehouse,et al.  Some theoretical aspects of error separation techniques in surface metrology , 1976 .

[14]  D G Chetwynd,et al.  Improving the accuracy of roundness measurement , 1976 .

[15]  G. Matchett Research in electrically supported vacuum gyroscope. Volume 2 - Electric torque on an ESVG Final report , 1968 .

[16]  C. A. Swenson,et al.  Thermal Expansions from 2 to 40°K of Ge, Si, and Four III-V Compounds , 1967 .

[17]  Benjamin Lange,et al.  The Drag-Free Satellite , 1964 .

[18]  H. W. Knoebel,et al.  The Electric Vacuum Gyro , 1964 .

[19]  Leonard I. Schiff,et al.  Possible New Experimental Test of General Relativity Theory , 1960 .