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Table 2

Parameters of the perturbing Sun, planets, and satellites used in the dynamical modeling and relevant analysis.

Parameter Nominal value
μ3…9 Values from Brozović et al. (2020)
μ10…13 Values from Park et al. (2021)
0.2908151716614298
− 1.5623114433220197

Notes. μ is the gravitational parameter (GM), with subscripts i denoting the perturbing bodies. Here, i = 3…9 are the seven inner regular satellites of Neptune (Naiad, Thalassa, Despina, Galatea, Larissa, Proteus, and Hippocamp, respectively), and i = 10…13 are Sun, Jupiter, Saturn, and Uranus, respectively. The reference radius for Neptune is 25225 km. As in previous work (e.g., Emelyanov & Kanter 2005), for speeding up the integration of motion equations, the perturbations from the inner satellites i = 3… 7, 9 can be considered by just adding corrections to the J2 and J4, and for Neptune, respectively. Their values are deduced from the GMs and the semimajor axes of the inner regular satellites except for Proteus (Brozović et al. 2020). According to Brozović et al. (2020), it is reasonable to consider the uncertainties of μ8, , and as 100% of their norminal values, respectively, in our analysis.

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