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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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treebdda434976bc09c864f2e4fa6f16ba1952b1e555 /math/slalib/planel.f
downloadiraf-linux-fa080de7afc95aa1c19a6e6fc0e0708ced2eadc4.tar.gz
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+ SUBROUTINE slPLNE (DATE, JFORM, EPOCH, ORBINC, ANODE, PERIH,
+ : AORQ, E, AORL, DM, PV, JSTAT)
+*+
+* - - - - - - -
+* P L N L
+* - - - - - - -
+*
+* Heliocentric position and velocity of a planet, asteroid or comet,
+* starting from orbital elements.
+*
+* Given:
+* DATE d date, Modified Julian Date (JD - 2400000.5, Note 1)
+* JFORM i choice of element set (1-3; Note 3)
+* EPOCH d epoch of elements (TT MJD, Note 4)
+* ORBINC d inclination (radians)
+* ANODE d longitude of the ascending node (radians)
+* PERIH d longitude or argument of perihelion (radians)
+* AORQ d mean distance or perihelion distance (AU)
+* E d eccentricity
+* AORL d mean anomaly or longitude (radians, JFORM=1,2 only)
+* DM d daily motion (radians, JFORM=1 only)
+*
+* Returned:
+* PV d(6) heliocentric x,y,z,xdot,ydot,zdot of date,
+* J2000 equatorial triad (AU,AU/s)
+* JSTAT i status: 0 = OK
+* -1 = illegal JFORM
+* -2 = illegal E
+* -3 = illegal AORQ
+* -4 = illegal DM
+* -5 = numerical error
+*
+* Called: slELUE, slUEPV
+*
+* Notes
+*
+* 1 DATE is the instant for which the prediction is required. It is
+* in the TT timescale (formerly Ephemeris Time, ET) and is a
+* Modified Julian Date (JD-2400000.5).
+*
+* 2 The elements are with respect to the J2000 ecliptic and equinox.
+*
+* 3 A choice of three different element-set options is available:
+*
+* Option JFORM = 1, suitable for the major planets:
+*
+* EPOCH = epoch of elements (TT MJD)
+* ORBINC = inclination i (radians)
+* ANODE = longitude of the ascending node, big omega (radians)
+* PERIH = longitude of perihelion, curly pi (radians)
+* AORQ = mean distance, a (AU)
+* E = eccentricity, e (range 0 to <1)
+* AORL = mean longitude L (radians)
+* DM = daily motion (radians)
+*
+* Option JFORM = 2, suitable for minor planets:
+*
+* EPOCH = epoch of elements (TT MJD)
+* ORBINC = inclination i (radians)
+* ANODE = longitude of the ascending node, big omega (radians)
+* PERIH = argument of perihelion, little omega (radians)
+* AORQ = mean distance, a (AU)
+* E = eccentricity, e (range 0 to <1)
+* AORL = mean anomaly M (radians)
+*
+* Option JFORM = 3, suitable for comets:
+*
+* EPOCH = epoch of elements and perihelion (TT MJD)
+* ORBINC = inclination i (radians)
+* ANODE = longitude of the ascending node, big omega (radians)
+* PERIH = argument of perihelion, little omega (radians)
+* AORQ = perihelion distance, q (AU)
+* E = eccentricity, e (range 0 to 10)
+*
+* Unused arguments (DM for JFORM=2, AORL and DM for JFORM=3) are not
+* accessed.
+*
+* 4 Each of the three element sets defines an unperturbed heliocentric
+* orbit. For a given epoch of observation, the position of the body
+* in its orbit can be predicted from these elements, which are
+* called "osculating elements", using standard two-body analytical
+* solutions. However, due to planetary perturbations, a given set
+* of osculating elements remains usable for only as long as the
+* unperturbed orbit that it describes is an adequate approximation
+* to reality. Attached to such a set of elements is a date called
+* the "osculating epoch", at which the elements are, momentarily,
+* a perfect representation of the instantaneous position and
+* velocity of the body.
+*
+* Therefore, for any given problem there are up to three different
+* epochs in play, and it is vital to distinguish clearly between
+* them:
+*
+* . The epoch of observation: the moment in time for which the
+* position of the body is to be predicted.
+*
+* . The epoch defining the position of the body: the moment in time
+* at which, in the absence of purturbations, the specified
+* position (mean longitude, mean anomaly, or perihelion) is
+* reached.
+*
+* . The osculating epoch: the moment in time at which the given
+* elements are correct.
+*
+* For the major-planet and minor-planet cases it is usual to make
+* the epoch that defines the position of the body the same as the
+* epoch of osculation. Thus, only two different epochs are
+* involved: the epoch of the elements and the epoch of observation.
+*
+* For comets, the epoch of perihelion fixes the position in the
+* orbit and in general a different epoch of osculation will be
+* chosen. Thus, all three types of epoch are involved.
+*
+* For the present routine:
+*
+* . The epoch of observation is the argument DATE.
+*
+* . The epoch defining the position of the body is the argument
+* EPOCH.
+*
+* . The osculating epoch is not used and is assumed to be close
+* enough to the epoch of observation to deliver adequate accuracy.
+* If not, a preliminary call to slPRTL may be used to update
+* the element-set (and its associated osculating epoch) by
+* applying planetary perturbations.
+*
+* 5 The reference frame for the result is with respect to the mean
+* equator and equinox of epoch J2000.
+*
+* 6 The algorithm was originally adapted from the EPHSLA program of
+* D.H.P.Jones (private communication, 1996). The method is based
+* on Stumpff's Universal Variables.
+*
+* Reference: Everhart, E. & Pitkin, E.T., Am.J.Phys. 51, 712, 1983.
+*
+* P.T.Wallace Starlink 31 December 2002
+*
+* Copyright (C) 2002 Rutherford Appleton Laboratory
+*
+* License:
+* This program is free software; you can redistribute it and/or modify
+* it under the terms of the GNU General Public License as published by
+* the Free Software Foundation; either version 2 of the License, or
+* (at your option) any later version.
+*
+* This program is distributed in the hope that it will be useful,
+* but WITHOUT ANY WARRANTY; without even the implied warranty of
+* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+* GNU General Public License for more details.
+*
+* You should have received a copy of the GNU General Public License
+* along with this program (see SLA_CONDITIONS); if not, write to the
+* Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+* Boston, MA 02110-1301 USA
+*
+* Copyright (C) 1995 Association of Universities for Research in Astronomy Inc.
+*-
+
+ IMPLICIT NONE
+
+ DOUBLE PRECISION DATE
+ INTEGER JFORM
+ DOUBLE PRECISION EPOCH,ORBINC,ANODE,PERIH,AORQ,E,AORL,DM,PV(6)
+ INTEGER JSTAT
+
+ DOUBLE PRECISION U(13)
+ INTEGER J
+
+
+
+* Validate elements and convert to "universal variables" parameters.
+ CALL slELUE(DATE,JFORM,
+ : EPOCH,ORBINC,ANODE,PERIH,AORQ,E,AORL,DM,U,J)
+
+* Determine the position and velocity.
+ IF (J.EQ.0) THEN
+ CALL slUEPV(DATE,U,PV,J)
+ IF (J.NE.0) J=-5
+ END IF
+
+* Wrap up.
+ JSTAT = J
+
+ END