# 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 V_{o}: In denominator first b^{2} -> c^{2}
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 q_{1}
cos^{2}i_{1} = q_{2}
cos^{2}i_{2}.
## Chapter 9

p. 274, Eq. 9.1.3: **h** -> M**h**, 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 r_{i}' should be r_{j}' 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 J_{n} 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} -> J_{n}
p. 437, Eq. for cos E: J_{n} -> J'_{n}
p. 438, Eq. for J'_{2}(2e): e^{2}/8 -> e^{4}/8
p. 438, Eq. for J'_{3}(3e): leading e^{3} -> e^{2}
## 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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