Today we use the Hop David spreadsheet, to get Cycler 2L4's launch window after Year 2000.
Probably the 2004 or 2012 transits of Venus would have been better but on a 243 Julian year scale, as you will see, Why Two-Kays is close enough. For more precision in later synods the Manifold Thesis had a decent "brute force" writeup on how to estimate departure moments. Overall this blog shall leave the Pork Chop Plots to the unparalleled experts in bacon consumption, namely NASA.
G-d and His Spreadsheet deliver B30, δW; and B32, δAngle @J2000... Themself. Since I'm going Venus outbound B30 is -225.1878256° and B32 is -81.5153°. (Earth-to-Venus, these are positive.) Our job is to find B24.
For me that starts with B20, the travel-time in sidereal years of the destination (Earth). We just got that: 159 / 365.25636. B22 tells us that in degrees: 156.5. B24 just orients that in the 180° semicircle for 23.5° angle at launch window.
The 2000 date of departure comes from adding 2000 to that fraction of Earth sidereal.
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