Hi PF(adsbygoogle = window.adsbygoogle || []).push({});

I've beent rying to model the lunar orbit around the sun (cardioide) as a parametric function, but have run into a problem.

f(t) = r(t) :

x = a cos(ωt)

y = b sin(ωt)

z = k t

The angular frequency ω as well as the distance from to the center varies around the orbit.

Is there some way to express ω(t), for instance as a harmonic approximation between ω_{apo}and ω_{peri}?

i've been fiddling with the Vis Viva equations and something about the Mean motion and eccentric anomaly, but am unsure if my approach is at all possible.

Thanks a lot for your time and attention!

-Tegewaldt

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# Describing elliptic orbit as a parametric function

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