New Determination of the Curvature Radius of Space-time

Astronomy and Astrophysics – Astrophysics

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As communicated in a cablegram of April 10 (NATURE, April 20, p. 618), my statistical formula, concerning any two groups of stars 1, 2, which is fully derived in a monograph on ``The Size of the Universe'', shortly to be issued by the Clarendon Press, Oxford, when applied to 29 Cepheids observed by R. E. Wilson of Albany, yielded for the radius R of de Sitterian space-time the value 3.0 × 1011; when applied to 35 stars of the O-type observed by J. S. Plaskett of Victoria, gave R = 3.2 × 1011; and when applied to 246 stars taken from Young and Harper's list, R = 3.4 × 1011 astronomical units. The latter batch of objects consisted of those of R. K. Young and W. Harper's ``1105 Stars'' (Publ. Domin. Astrophys. Observatory, Victoria, B.C., vol. 3, No. 1, Ottawa, 1924) numbered 500 to 1105, the distances of which, r, equal or exceed 50 parsecs, and the radial velocities of which are less than 100 km./sec. In the formula just quoted, c is the velocity of light, vr the radial and v the resultant velocity, relative to the sun. (It may be noticed that in Young and Harper's memoir the radial velocities are corrected for the solar motion, but Prof. Young was kind enough to send me a complete list of the original velocities reduced, as usual, to the sun.)

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