Some Corrections for Danby, Celestial Mechanics
Second Edition, 1992 Third Printing
Green: Errors in the 1988 Second Printing corrected in the 1992 Third Printing.
Table of Contents
p. x, Section 11.11: Generel -> General
Chapter 5
p. 104, Second Eq. for Vo: In denominator first b2 -> c2
p. 106, Eq. 5.5.15: Both leading 4/5 factors should be 4/3
Chapter 6
p. 137, Problem 8: "sin" should not be italicized
p. 204, first paragraph:
Swap i=0 and e=0
Chapter 8
p. 264, top: From Figure 8.6 -> From Figure 8.8
p. 265, last Equation: 0.385 -> 0.0385
p. 270, problem 1 asks you to prove an incorrect statement. A
parabolic i=0 orbit can be changed to another parabolic orbit with a
non-zero inclination and a larger pericenter distance.
p. 270, problem 2 asks you to prove an incorrect statement. The correct condition is q1
cos2i1 = q2
cos2i2.
Chapter 9
p. 274, Eq. 9.1.3: h -> Mh, where M is the total mass of the system.
p. 277, Eq. for the gradient of U: (i ne j) -> (i ne n)
p. 277, vector ri' should be rj' inside the sums.
Chapter 11
p. 347, final Equation: Right hand side should be squared.
Appendix C
p. 428, Longitude of Earth: 1000.4664 ->
100.4664
p. 435, Mean distance to the Earth: km -> m
p. 432 Better values for the Jn are available
p. 435 gravitational constant: some dimensions italicized, some not.
p. 436, typo in the value of e: 2.7172 -> 2.7182
Appendix D
p. 437, Eq. for sin E: J'n -> Jn
p. 437, Eq. for cos E: Jn -> J'n
p. 438, Eq. for J'2(2e): e2/8 -> e4/8
p. 438, Eq. for J'3(3e): leading e3 -> e2
Appendix I
p. 452, after Eq. I.5: form the maximum -> from the maximum
p. 456, top sentence: (F.22) -> (I.22)
Appendix J
p. 458, bottom: monenta -> momenta
p. 459, top: monenta -> momenta
Last Updated: Mar. 05, 2015
Doug Hamilton
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