Sunday, February 04, 2007

REFERENCE: Omega Rolls the Orbit






6. Θ, true anomaly, angle from q to orbiting body’s current position.

3. ω, Argument of Perihelion. Orbital angle from to q.

4. a, Semimajor Axis is half the distance from q to Q.

2.  i, inclination.  Angle between Ecliptic plane and orbital plane.

1.  Ω, Longitude of Ascending Node, LAN.  Angle from  Vernal Equinox () to ascending node () as shown.

5. e, eccentricity, ratio of c to a, measures flatness of orbit.  

Omega is a static parameter for each orbit.
But there are many different NEAs each with it’s own orbit and distinct omega.
Take a sample of 36 similar orbits, except let omega vary from 0 to 360°. As shown in animation.

Omega (ω) measures angular "roll" about Sol.

As orbit rolls the orbit about Sol, we notice a few things:
1) Ascension node's () distance from Sol varies Radius (R) from Sol; R ranges from q to Q.
2) As ω increases from 0° to 360°, q rolls around Sol and portion of orbit above Ecliptic varies as shown above.Animated GIF

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