Errata for Classical Mechanics

Here are a list of typos that I know about:

Chapter 2

Page 50: In (2.125), the denominator in the first equation has a (\omega_0^2-\Omega)^2. That \Omega should be \Omega^2.<\li>
Page 55: "Drude mode" -> "Drude model"

Page 96: Below (5.4), m\ddot{R}=0 should really be just \ddot{R}=0 (although given that m is not zero, it doesn't make much difference!)
Page 112: In the "Repulsive Force" subsection, the inequality should be 3\pi/2 < \theta < 2\pi (not < \pi as written).
Page 115: In (5.76), the -r term mysteriously disappears in the middle equation before reappearing in the final equation.
Page 117: In the first line of (5.81), the first term on the RHS should have a 1/c^2 instead of 1/c.
Page 117: The perturbation expansion of the solution is a little fiddly because there's an additional constant 3ku_0^2/c^2 which is implicitly small. It's better to remove the \epsilons in the expansion above (5.80) and instead write u(r) = u_0 + u_1(r) under the assumption u_1(r) \ll u_0. Then expand to leading order in u_1, instead of \epsilon.
Page 118: The final term in (5.82) should have a k^3 instead of k^2
Page 122: The third line, TG = F'G should be TG = F'T

Page 182: In the second line of (7.92), the t' should just be t.
Page 198: In the paragraph betwee (7.150) and (7.151), the \dot{\phi} should be \dot{\theta}
Page 205: In (1.174), all equations should have an m on the LHS
Page 208: Above (7.180), "The the distance" shuold be "Then the distance"
Page 209: In (7.185), on the LHS the second term should be derivative with respect to q^k, not k.

Page 213: (8.18) should have a minus sign on the RHS.
Page 219: IN (8.35), the derivatives of the V on the RHS should have a 1/m_3 factor. In (8.38), each RHS should also have a 1/m_3 factor.
Page 220: In (8.41) there's an errant ( in the denominator of the first term on the RHS.
Page 222: Four lines from the bottom, e^{-2\pi i qan} should be just e^{iqan}
Page 223: Below (8.61), it should say \omega^2 \approx 4k/m (not 2k/m).

Page 232: In the expression of (9.61), the derivative dR_{ij}/dt is missing the d in the numerator.
Page 233: I stupidly got spherical polar coordinates wrong! The first un-numbered equation at the top of the page should read x = (r\sin\theta \cos\phi, r\sin\theta \sin \phi, r\cos\theta) and the second un-numbered equation should read \dot{x} = (-r\sin\theta \sin\phi, r\sin\theta \cos\phi,0) \dot{\phi}.
Page 237: Above (9.30), it says \hat{n} . \hat{n} = -1 and it should be + (obv!).
Page 238: In (9.33), the I should be script I.
Page 244: In the second sentence of Section 9.3.2, "consisted" -> "considered"
Page 247: In the third sentence of Section 9.4.1, "angular momentum \omega" -> "angular velocity omega".

Page 323: Below (10.179), it states \theta_\phi = \phi. This is just wrong! \theta_\phi is, like \theta_r, some complicated function.

My thanks to Mark Weitzman, Mike Worboys, Hugo Lange, and Kaushik Basu for catching some of these typos.