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I needed help with problem 4.3 of Fundamentals of Astrodynamics by Roger R. Bate, Donald D. Mueller, Jerry E. White (dover, archive.org)

Given that $r_0 = (I+j)$ and $v_0 = 2k$ find $r$ and $v$ for difference in true anomaly 60°...

I tried this problem but had no way of finding the universal variable X for the first iteration, if anyone could help me with this it would be appreciated.


Here is a screen shot of the question in response to comments, from books.google.com.in:

Question 4.3 in Fundamentals of Astrodynamics by Bate, Mueller & White

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  • $\begingroup$ @DavidHammen the difference in true anomaly part is the angle travelled in the elliptical orbit by the body is 60° $\endgroup$ – user36620 Jun 14 at 7:44
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    $\begingroup$ @JCRM I was able to solve the other problems but the main difference was chapter 4 teaches you to predict for the time given but it's not clear when the only given is the angular travel of the body in the orbit $\endgroup$ – user36620 Jun 14 at 11:53
  • $\begingroup$ you'll need to calculate the time first then $\endgroup$ – JCRM Jun 14 at 13:02
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    $\begingroup$ Apparently I was taking the wrong formula of eccentric anomaly for hyperbolic orbits which was the error.....I got the answer finally $\endgroup$ – user36620 Jun 14 at 14:22
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    $\begingroup$ If you figured it out on your own, you can provide an answer here to help out others in the future. It's perfectly fine to answer your own question. $\endgroup$ – called2voyage Jun 15 at 13:45

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