From the NEODyS data set (http://newton.dm.unipi.it/neodys/index.php?pc=5), we can take the computed values of proper elements for the NEOs, that is, the precession rate g of perihelion (the frequency of perihelion), that is equal to the sum of changes in the argument of perihelion, [omega], and in the longitude of the ascending node, [OMEGA], of the orbit of the asteroid, expressed in arc seconds per year and the precession rate s of the ascending node (the frequency of the ascending node), that is equal to the change in the longitude of the ascending node, [OMEGA], of the orbit of the asteroid, expressed in arc seconds per year.

A particular secular resonance occurs when the frequency of time-variation of the longitude of perihelion, g, or the longitude of the ascending node, s, of an asteroid becomes close to the orbital frequency of a planet.

Optimal Control Law for the Rate of Change of

Ascending Node. The procedure is the same as in optimal control law for inclination

But because there may be either one or two transits at each node, other intervals are possible; for instance when series B ends there will be just one transit at the

ascending node giving the sequence 129 1/2, 8 and 105 1/2 years.

In comparison with the best area coverage result in Case 7, it can be seen that, by introducing v as an optimized variable in Case 12, the satellites'

ascending node in the same orbit plane (satellite 1 and 2) is separated up to 264[degrees].

Argument of perihelion 43.63720 [degrees] Longitude of

ascending node 126.37563 [degrees] Eccentricity 0.5147984 Inclination 19.81182 [degrees] Currently the

ascending node is between the orbits of Mercury and Venus, and the descending node between the orbits of Earth and Mars.

Argument of perihelion, [Omega] 130.296 [degrees] Longitude of

ascending node, [Omega] 188.156 [degrees] Inclination, i 124.650 [degrees] Sky & Telescope columnist John Bortle is more optimistic.

Because the Moon is headed north of the ecliptic, it is called the

ascending node. Nothing actually marks this spot in the sky, but we can keep track of its position with respect to the background stars.

Eccentricity, e 0.9953 Argument of perihelion, [ohms] 130.57 [degrees] Longitude of

ascending node, [ohms] 282.47 [degrees] Inclination, i 89.43 [degrees] If the comet does brighten significantly, eclipse chasers in Mongolia and eastern Siberia may see Hale-Bopp with the naked eye 46 [degrees] from the Sun during the total eclipse on March 9, 1997, along with Mercury, Venus, Jupiter, and Saturn.

1.49226 TT (ET), perihelion distance q = 1.3651154 a.u., eccentricity e = 0.6228036, inclination i = 30 [degrees].27061, argument of perihelion [Omega] = 353 [degrees].35863, longitude of

ascending node [Omega] = 75 [degrees].42389 (2000.0).

Levison and Stern claim Pluto avoided this fate because something knocked it solidly into the orbital resonance, in such a way that its perihelion and

ascending node remained far apart as well.

The "splash" points, where the fish enters and leaves the water, are, respectively, the descending and

ascending nodes -- points where the Moon passes through the Earth's orbital plane.