angadhn / SpacecraftDynamics

Executable Textbook for Spacecraft Dynamics
http://www.angadhn.com/SpacecraftDynamics/
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Issue on page /orbital-mechanics/Lecture6/Lecture6.html #36

Open Warfxdes opened 3 weeks ago

Warfxdes commented 3 weeks ago

Issue Title: Incorrect Signs in Equation 154 Compared to Equation 125

Description:

There is an inconsistency between Equation 125 and Equation 154 (Both are equations for True Anomaly)

Screenshot 2024-10-26 234939

However, in Equation 154, the signs inside the square root might be incorrect.

Screenshot 2024-10-26 234757

This discrepancy changes the mathematical relationship, as the signs in the square root should be reversed in Equation 154 to match Equation 125. (Images have been added for your convinence)

Recommendation:

The issue could be solved by swapping the signs in the square root of Equation 154 to match Equation 125, or making Tan (theta/2) the subject.

image