Smithsonian miscellaneous collections . we shall find 0 A = 0°.85 By constructing the isobars for the exterior part and for theinterior part we shall by interpolation find the isobars for the inter-mediate region. 242 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 51 The isobars in fig. 52 are constructed according to the followingtable: VALUE OF r b <p = a <p = a + 90 9 = a — 900 760 20. o° ° 19. 2° 755 i5-4 75o 745 740 9-7 735 73o 725 FIG. 52 The maximum value of the angle e between the gradient and theradius is determined by
Smithsonian miscellaneous collections . we shall find 0 A = 0°.85 By constructing the isobars for the exterior part and for theinterior part we shall by interpolation find the isobars for the inter-mediate region. 242 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 51 The isobars in fig. 52 are constructed according to the followingtable: VALUE OF r b <p = a <p = a + 90 9 = a — 900 760 20. o° ° 19. 2° 755 i5-4 75o 745 740 9-7 735 73o 725 FIG. 52 The maximum value of the angle e between the gradient and theradius is determined by equation (16). Assuming r = 9°, U = ,k = , we shall have e about 50 and consequently the angleof inclination (p varies from 430 at the anterior edge to 530 at theposterior edge of the progressing cyclone. MOVEMENTS OF ATMOSPHERE GULDBERG AND MOHN 243 §36. Influence of the rotation of the earth on the vertical currents As we have shown in §19, the force produced by the rotation ofthe earth depends also on the vertical velocity. Let us considerin the first place a steady vertical current and assume the horizon-tal velocities u ana* v to be zero. The equations of motion assumethe following form, denoting by a the angle between the axis 0 Xand the meridian (see fig. 53): 1 dp p dx 1 dp P dy1 dpo dz — 2 co cos 6 sin a w — 2 co cos 6 cos a iv dw = - g-w dz
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