SUBROUTINE iau_PVDPV ( A, B, ADB ) *+ * - - - - - - - - - - * i a u _ P V D P V * - - - - - - - - - - * * Inner (=scalar=dot) product of two pv-vectors. * * This routine is part of the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * * Status: vector/matrix support routine. * * Given: * A d(3,2) first pv-vector * B d(3,2) second pv-vector * * Returned: * ADB d(2) A . B (see note) * * Note: * * If the position and velocity components of the two pv-vectors are * ( Ap, Av ) and ( Bp, Bv ), the result, A . B, is the pair of * numbers ( Ap . Bp , Ap . Bv + Av . Bp ). The two numbers are the * dot-product of the two p-vectors and its derivative. * * Called: * iau_PDP scalar product of two p-vectors * * This revision: 2006 November 13 * * SOFA release 2023-10-11 * * Copyright (C) 2023 IAU SOFA Board. See notes at end. * *----------------------------------------------------------------------- IMPLICIT NONE DOUBLE PRECISION A(3,2), B(3,2), ADB(2) DOUBLE PRECISION ADBD, ADDB * - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - * A . B = constant part of result. CALL iau_PDP ( A(1,1), B(1,1), ADB(1) ) * A . Bdot CALL iau_PDP ( A(1,1), B(1,2), ADBD ) * Adot . B CALL iau_PDP ( A(1,2), B(1,1), ADDB ) * Velocity part of result. ADB(2) = ADBD + ADDB * Finished. *+---------------------------------------------------------------------- * * Copyright (C) 2023 * Standards of Fundamental Astronomy Board * of the International Astronomical Union. * * ===================== * SOFA Software License * ===================== * * NOTICE TO USER: * * BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND * CONDITIONS WHICH APPLY TO ITS USE. * * 1. The Software is owned by the IAU SOFA Board ("SOFA"). * * 2. Permission is granted to anyone to use the SOFA software for any * purpose, including commercial applications, free of charge and * without payment of royalties, subject to the conditions and * restrictions listed below. * * 3. You (the user) may copy and distribute SOFA source code to others, * and use and adapt its code and algorithms in your own software, * on a world-wide, royalty-free basis. 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The provision of any version of the SOFA software under the terms * and conditions specified herein does not imply that future * versions will also be made available under the same terms and * conditions. * * In any published work or commercial product which uses the SOFA * software directly, acknowledgement (see www.iausofa.org) is * appreciated. * * Correspondence concerning SOFA software should be addressed as * follows: * * By email: sofa@ukho.gov.uk * By post: IAU SOFA Center * HM Nautical Almanac Office * UK Hydrographic Office * Admiralty Way, Taunton * Somerset, TA1 2DN * United Kingdom * *----------------------------------------------------------------------- END