Analytically calculated post-Keplerian range and range-rate perturbations: the solar Lense–Thirring effect and BepiColombo

@article{Iorio2018AnalyticallyCP,
  title={Analytically calculated post-Keplerian range and range-rate perturbations: the solar Lense–Thirring effect and BepiColombo},
  author={Lorenzo Iorio},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2018},
  volume={476},
  pages={1811-1825}
}
  • L. Iorio
  • Published 30 May 2017
  • Physics
  • Monthly Notices of the Royal Astronomical Society
We analytically calculate the time series for the perturbations $\Delta\rho(t),~\Delta\dot\rho(t)$ induced by a general disturbing acceleration $\boldsymbol{A}$ on the mutual range $\rho$ and range-rate $\dot\rho$ of two test particles $\textrm{A},~\textrm{B}$ orbiting the same spinning body. We apply it to the general relativistic Lense-Thirring effect, due to the primary's spin $\boldsymbol{S}$, and the classical perturbation arising from its quadrupole mass moment $J_2$ for arbitrary orbital… 

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