General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies by Joseph O’Leary

Author:Joseph O’Leary
Language: eng
Format: epub, pdf
ISBN: 9783030801854
Publisher: Springer International Publishing

(4.26)

Using the definition of energy at infinity and taking appropriate limits and in (4.10) we can identify C in an alternative form given by and hence express (4.10) as

(4.27)

Remembering and expanding the above exponential functions to and O(W) respectively, the resulting expression coincides with (4.26).

Finally, we note that by following the same formal procedure outlined above it can be shown that Eq. (4.26) follows immediately from explicit calculation of (4.25).

Fig. 4.1Confirmation that (O’Leary et al. 2018)

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