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Philosophaie
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I am trying to derive the Kepler equation:
M = E - e * sin(E)
where M=Mean Anomaly, e=Eccentricity and E=Eccentric Anomaly.
If you drop a perpendicular down from the object to the Perihelion-axis you can take:
a * cos(E) = a * e + Recl * cos (TA)
where Recl is the Ecliptic radius to the object from the Sun and TA=True Anomaly.
I am having a hard time equating M and TA because one is on the Ecliptic Plane and the other is on the Orbiting Plane.
Any hints are appreciated.
M = E - e * sin(E)
where M=Mean Anomaly, e=Eccentricity and E=Eccentric Anomaly.
If you drop a perpendicular down from the object to the Perihelion-axis you can take:
a * cos(E) = a * e + Recl * cos (TA)
where Recl is the Ecliptic radius to the object from the Sun and TA=True Anomaly.
I am having a hard time equating M and TA because one is on the Ecliptic Plane and the other is on the Orbiting Plane.
Any hints are appreciated.
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