Planets on an elliptic curve

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The formulas for elliptic curves and elements moving along such a path can be found here:
Tutorial: Elliptic Motion

The challenge on this watch face was not the height and width of the elliptic curves - these are 1-to-1 from a drawing in CorelDraw. The speed of the planets relative to each other however is not straight forward. The planet with the fastest orbital velocity is Mercury and the slowest is the one furthest away: Neptune. In the elliptic path formulas, however, Mercury has the smallest factor.

Example:
Mecury:
X: (((sin((-(#DWFSS#+20)/20)*pi))*50)+160)
Y: (((cos((-(#DWFSS#+20)/20)*pi))*21)+92)

Earth:
X: (((sin((-(#DWFSS#+38.2)/38.2)*pi))*70)+160)
Y: (((cos((-(#DWFSS#+38.2)/38.2)*pi))*27)+92)

Watch facer (open for inspection):

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Great work, design, and explanation; nicely done my friend :+1:

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Wow!!! I really love this!!!

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Nice job Tom!

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Golly Gosh . Thank you Tom . Fantastic Tutorial and Gifts . This is what makes this Community the best anywhere :::)))

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That is really fantastic. Maybe an isometric version coming soon?

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Oh no, now you got me thinking what that could look like… :slight_smile: I only found you and another partner that have actually done isometric faces, so maybe I’ll join the club…

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Whatever you do, don’t make an isometric face for syncs…lol

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Awesome Tom! Masterclass! I love this one!

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Deos this one count as isometric? Ok I know it’s more of a parallax thing but hey ’ it’s sort of isometric! :upside_down_face: