Home Manual Packages Global Index Keywords Quick Reference | # functions in kepler.i - k
kepler |
                 xyz = kepler(orbit, time)
              or xyz = kepler(orbit, time, ma, ta, norb)

         return 3-dimsof(orbit(1,..))-by-dimsof(time) XYZ coordinates
         corresponding to the orbit(s) ORBIT and time(s) TIME.  Optionally
         return mean anomaly MA, true anomaly TA, and integer number of
         orbits, each a dimsof(orbit(1,..))-by-dimsof(time) array.  The
         MA and TA are in radians.  The x-axis is along the line of the
         vernal equinox, the z-axis is ecliptic north.
         ORBIT has leading dimension 12: [angle from perihelion, mean daily
         motion, semi-major axis, d/dt(semi-major axis), eccentricity,
         d/dt(eccentricity), longitude of ascending node, d/dt(ascending
         node), angle from ascending node to perihelion, d/dt(perihelion),
         inclination, d/dt(inclination)]
         (Six pairs of a quantity and its time derivative.)
         The angles are in degrees; d/dt units must match TIME units.
         Mean anomaly is not an angle in real space; it is the quantity
         proportional to time in Kepler's equation.  True anomaly is the
         angle from perihelion to planet.
         With a non-nil, non-zero full= keyword, return XYZUVW -- that is,
         six coordinates including velocities as well as positions.

    interpreted function, defined at i/kepler.i   line 6
SEE ALSO: | sch_planets, jpl_planets, sch_moon, moon, solar_system
kepler2 |
                 xyz = kepler2(orbit, xyz0)
              or xyz = kepler2(orbit, xyz0, time, ma, ta)

         return dimsof(xyz0) XYZ coordinates corresponding to the orbit(s)
         ORBIT and direction(s) XYZ0.  The dimensions of ORBIT beyond the
         first, if any, must match those of XYZ0, although XYZ0 may have
         any number of trailing dimensions.
         Optionally return TIME, mean anomaly MA, and true anomaly TA,
         each a dimsof(orbit(1,..))-by-dimsof(time) array.  The MA and TA
         are in radians.  The x-axis is along the line of the vernal
         equinox, the z-axis is ecliptic north.  The XYZ0 direction is first
         projected into the plane of the orbit; then XYZ will be proportional
         to XYZ0.  The time derivatives of the ORBIT elements are ignored.
         ORBIT has leading dimension 12: [angle from perihelion, mean daily
         motion, semi-major axis, d/dt(semi-major axis), eccentricity,
         d/dt(eccentricity), longitude of ascending node, d/dt(ascending
         node), angle from ascending node to perihelion, d/dt(perihelion),
         inclination, d/dt(inclination)]
         (Six pairs of a quantity and its time derivative.)
         The angles are in degrees; d/dt units must match TIME units.
         Mean anomaly is not an angle in real space; it is the quantity
         proportional to time in Kepler's equation.  True anomaly is the
         angle from perihelion to planet.

    interpreted function, defined at i/kepler.i   line 89
SEE ALSO: | sch_planets, jpl_planets, sch_moon, moon, solar_system