- #1
Tegewaldt
- 7
- 0
Hi PF
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 ωapo and ωperi ?
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
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 ωapo and ωperi ?
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