Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 2.3, Problem 2.15P
To determine

The H5(ξ) and H6(ξ) by using the recursion formula.

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Consider the Kepler equation of motion M = E − e sin (E) Where : M – mean anomaly E – eccentric anomaly of an elliptic orbit e – eccentricity To find E, we need to solve the nonlinear equation: f(E) = M + e sin(E ) − E = 0 Given e = 0.0167 (Earth’s eccentricity)and M = 1 (in radians) compute E using a. Secant Method All with Ea ≤ 0.00001 To choose appropriate initial approximations or an interval containing the root, plot the function f(E) and then determine graphically where it crosses the E-axis.
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