I am fighting my way through Fundamentals of Astrodynamics 1st edition for the fun of it. I have made it up to section 2.4 and have successfully completed all the example problems and chapter exercises.
However, I am stuck on the Example Problem on page 68. Specifically, I do not understand the solution for e.
1) It seems to me that the second term in the brackets should evaluate to zero since r dot v is equal to: (rv cos theta). Since r has only an i value and v has only a J value, these vectors are perpendicular, theta = 90 degrees, cos 90 = 0
2) if the above is true you have only first team left and there is no way I can see to get it to be a value that being divided by the gravitational constant nu would result in the 1i solution?