. The Astrophysical journal. Fig. 20. Y Fig. 21 With regard to the calculation of the resultant force the neces-sary formula may be developed as follows: Let us consider a givenplane parallel to the plane of the whirls, and let A and B be thepoints where the axes of the whirls intersect this plane. Let r betheir mutual distance. Let M be a point in the plane and Hr,H^, and H^ the components at M due to the whirl with axis A, andKr, K4,, and Kz the components due to the whirl B. Let us finally RESEARCHES ON SOLAR VORTICES 383 denote the distances AM and BM by p and g and the angles MABand MBA b

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. The Astrophysical journal. Fig. 20. Y Fig. 21 With regard to the calculation of the resultant force the neces-sary formula may be developed as follows: Let us consider a givenplane parallel to the plane of the whirls, and let A and B be thepoints where the axes of the whirls intersect this plane. Let r betheir mutual distance. Let M be a point in the plane and Hr,H^, and H^ the components at M due to the whirl with axis A, andKr, K4,, and Kz the components due to the whirl B. Let us finally RESEARCHES ON SOLAR VORTICES 383 denote the distances AM and BM by p and g and the angles MABand MBA by a and /3. Then 2pr 2gr If we choose a system of rectangular co-ordinates with theorigin in the center of the whirl A, and the X-, Y-, and Z-axesparallel to AX (perpendicular to AB, see Fig. 21), to AY, and to cos a- cos/?:

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Keywords: ., bookcentury1800, bookdecade1890, booksubjectspectru, bookyear1895