Solution Found!
Derive P3(x) from the Rodrigues formula, and check that
Chapter 3, Problem 17P(choose chapter or problem)
QUESTION:
Problem 17P
Derive P3(x) from the Rodrigues formula, and check that P3(cos θ) satisfies the angular equation (3.60) for l = 3. Check that P3 and P1 are orthogonal by explicit integration.
Reference equation 3.60
Questions & Answers
QUESTION:
Problem 17P
Derive P3(x) from the Rodrigues formula, and check that P3(cos θ) satisfies the angular equation (3.60) for l = 3. Check that P3 and P1 are orthogonal by explicit integration.
Reference equation 3.60
ANSWER:
Solution 17P
Step 1 of 4:
We need to derive the Rodrigue's formula and check out satisfies the angular acceleration equation and check out and are orthogonal by explicit integration.
The general form of Rodrigue's formula is,