section k of routines in global.i

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 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

 keybd_focus ``` keybd_focus, on_off By default, graphics windows set a window manager hint which allows them to accept keyboard focus. With ON_OFF zero, that hint will not be set when a new graphics window is created. This causes the window manager to refuse to offer keyboard focus to the graphics window -- very desirable, since it can't accept keyboard input anyway. With fvwm, for example, this means keyboard focus can stay in the terminal window even when you are mouse zooming the graphics window. However, many window managers confuse colormap focus with keyboard focus, so if you set the private=1 colormap in the window function, you may not be able to convince the window manager to give the graphics window colormap focus since it won't give it keyboard focus. Weird. builtin function, documented at i0/graph.i line 1393 ```