# 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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