LEVERAGING LAMBDA for Cyclers
Cursive Greek lambda (ℓ) is more often represented in lower case
Greek, λ, or upper case, Λ. However, in Kepler's lifetime, scientists often used cursive lambda (ℓ) to represent semilatis rectum, an essential component of the ellipse.
BACKGROUND: To briefly explain semilatis rectum, recall basic parts of ellipse: semimajor axis (a), longest ray from center to border, and semiminor axis (b) shortest such ray.
BACKGROUND: To briefly explain semilatis rectum, recall basic parts of ellipse: semimajor axis (a), longest ray from center to border, and semiminor axis (b) shortest such ray.
The focus is another essential component of the ellipse. Distance from center to focus, c, has a Pythagorean relationship with a and b as shown in following diagram. In the Solar System, all orbits have an elliptical shape, and Sol, our sun, is at one of the two foci.  Semilatis rectum (ℓ) is defined as an ray perpendicular to major axis which extends from a focus to border of ellipse. Since an ellipse has.two foci, it has four semilatis rectums (link to table with typical examples).  
FIRST CYCLER TRAVELS TWO YEAR ORBIT
Align orbit such that its perihelion (q) is on Vernal Equinox, and q is .623 AU from Sol (well inside Terra's Solar orbit). Orbit's reference ray (t=0 days) commonly extends from Sol to q. For Period (P) to be two years, Kepler's 3rd Law requires semimajor axis (a) to be 1.58 AU. In turn, semilatis rectum (ℓ) will be 1.0 AU; in fact, the cycler orbit (assume zero inclination) will intercept Earth's orbit at two distinct semilatis rectum ((ℓ_{1} and ℓ_{4}).
Time increments for positions around q indicate quicker speeds due to proximity of Sol. On the other hand, much longer time increments for positions around Q indicate much slower speeds due to greater distance from Sol. EXAMPLE: Distance from q to ℓ_{1 }is same as from Q to ℓ_{3; }however, orbit time from q to ℓ_{1 }is 50.7 days while orbit time from Q to ℓ_{3 }is 161.25 days which is much longer. For detailed orbit times, see Two Year Table.  
ADD TWO COORBITING HABITATS
Habitat α could lead Terra by 60°, and Habitat Ω could lag Earth by 60°. Both habitats could be safe havens for receiving resources from cycler missions. Purpose. Cyclers could harvest asteroids/comets throughout the Solar System and bring them to Earth for final processing. However, huge chunks of extraterrestrial material entering orbits around Earth presents some impact risk. To reduce risk of impacts to either Terra or Luna, one should place these habitats well away from Mother Earth; in this instance, both are 1 AU from Earth. Omega/Alpha colonies could process cycler payloads at a safe distance from Terra, their Home Planet. At 1.0 AU from Earth, these habitats could safely harvest resources from far corners of the Solar System.  
ADD ANOTHER CYCLER
Synchronize Cycler1 to intercept Habitatα at Winter Solstice (WS) as shown in diagram. Synchronize Cycler2 to intercept Habitatα at Summer Solstice (SS); thus, Cycler2 lags Cycler1 by 81.5 days when Cycler1 is at WS.Note that diagram shows time tags for all objects at three distinct times: t=0 days: Cycler1 and Habitatα are both at WS. Cycler2 lags Cycler1 as shown. t=91.3 days: After 3 months, Habitatα arrives at Vernal Equinox. However, Cycler1 is well ahead (due to traveling a path much nearer to Sol). Earth continues to lag Habitatα by 60°. Cycler2 is gaining. t=182.6 days: Cycler2 and Habitatα are both at SS. Cycler1 leads Cycler2 as shown. 

CONSIDER BOTH HABITATS
Synchronize Cycler3 to intercept HabitatΩ at WS as shown in diagram; later, Cycler4 will intercept HabitatΩ at SS. Cycler4 follows Cycler3 in same manner as Cycler2 following Cycler1.
Just as first pair of cyclers (Cycler1 and Cycler2) start servicing Habitatα at t=0 days; second pair of cyclers (3 & 4) will start service for HabitatΩ at t=121.8 days. SUMMARY: During first year of orbit, Earth controlled Habitats accomplish four distinct rendezvous events. Next, we consider second year of orbit.  
CONSIDER BOTH YEARS
Synchronize four more cyclers (5, 6, 7, and 8) for second year of orbit as shown. 2nd year cyclers will essentially repeat rendezvous events accomplished by 1st year cyclers (1, 2, 3, 4). During this 2nd year, note the first four cyclers are bunched up near aphelion, Q.REASON: Constant time differences (i.e. 81.5 days between cyclers 1 and 2) manifest via different distances throughout the orbit. Intercycler distances are much greater near perihelion, q, and much closer near aphelion, Q. Table shows that cycler speeds are greatly affected by proximity to Sol.  

SUMMARY:
Synergize Habitats Alpha and Omega with 2 year cycler orbits for enormous benefits. Requires careful placement of lambda, semilatis rectum. Such an orbit can have up to eight distinct cyclers.
CONCLUSION:
Since one fully deployed two year orbit can have eight cyclers, adding more fully deployed orbits could quickly increase cycler traffic throughout the Solar System.

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