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authorJoseph Hunkeler <jhunkeler@gmail.com>2015-07-08 20:46:52 -0400
committerJoseph Hunkeler <jhunkeler@gmail.com>2015-07-08 20:46:52 -0400
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+.help pv2ue Jun99 "Slalib Package"
+.nf
+
+ SUBROUTINE slPVUE (PV, DATE, PMASS, U, JSTAT)
+
+ - - - - - -
+ P V U E
+ - - - - - -
+
+ Construct a universal element set based on an instantaneous position
+ and velocity.
+
+ Given:
+ PV d(6) heliocentric x,y,z,xdot,ydot,zdot of date,
+ (AU,AU/s; Note 1)
+ DATE d date (TT Modified Julian Date = JD-2400000.5)
+ PMASS d mass of the planet (Sun=1; Note 2)
+
+ Returned:
+ U d(13) universal orbital elements (Note 3)
+
+ (1) combined mass (M+m)
+ (2) total energy of the orbit (alpha)
+ (3) reference (osculating) epoch (t0)
+ (4-6) position at reference epoch (r0)
+ (7-9) velocity at reference epoch (v0)
+ (10) heliocentric distance at reference epoch
+ (11) r0.v0
+ (12) date (t)
+ (13) universal eccentric anomaly (psi) of date, approx
+
+ JSTAT i status: 0 = OK
+ -1 = illegal PMASS
+ -2 = too close to Sun
+ -3 = too slow
+
+ Notes
+
+ 1 The PV 6-vector can be with respect to any chosen inertial frame,
+ and the resulting universal-element set will be with respect to
+ the same frame. A common choice will be mean equator and ecliptic
+ of epoch J2000.
+
+ 2 The mass, PMASS, is important only for the larger planets. For
+ most purposes (e.g. asteroids) use 0D0. Values less than zero
+ are illegal.
+
+ 3 The "universal" elements are those which define the orbit for the
+ purposes of the method of universal variables (see reference).
+ They consist of the combined mass of the two bodies, an epoch,
+ and the position and velocity vectors (arbitrary reference frame)
+ at that epoch. The parameter set used here includes also various
+ quantities that can, in fact, be derived from the other
+ information. This approach is taken to avoiding unnecessary
+ computation and loss of accuracy. The supplementary quantities
+ are (i) alpha, which is proportional to the total energy of the
+ orbit, (ii) the heliocentric distance at epoch, (iii) the
+ outwards component of the velocity at the given epoch, (iv) an
+ estimate of psi, the "universal eccentric anomaly" at a given
+ date and (v) that date.
+
+ Reference: Everhart, E. & Pitkin, E.T., Am.J.Phys. 51, 712, 1983.
+
+ P.T.Wallace Starlink 18 March 1999
+
+ Copyright (C) 1999 Rutherford Appleton Laboratory
+ Copyright (C) 1995 Association of Universities for Research in Astronomy Inc.
+
+.fi
+.endhelp