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- W2618255461 abstract "We analytically calculate the time series for the perturbations $Deltarho(t),~Deltadotrho(t)$ induced by a general disturbing acceleration $boldsymbol{A}$ on the mutual range $rho$ and range-rate $dotrho$ 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 geometries and orientation of the source's symmetry axis $boldsymbol{hat{S}}$. The Earth-Mercury range and range-rate are nominally affected by the Sun's gravitomagnetic field to the $10~textrm{m},~10^{-3}~textrm{cm s}^{-1}$ level, respectively, during the extended phase (2026-2028) of the forthcoming BepiColombo mission to Mercury whose expected tracking accuracy is of the order of $simeq 0.1~textrm{m},~2times 10^{-4}~textrm{cm s}^{-1}$. The competing signatures due to the solar quadrupole $J_2^odot$, if modelled at the $sigma_{J_2^odot}simeq 10^{-9}$ level of the latest planetary ephemerides INPOP17a, are nearly 10 times smaller than the relativistic gravitomagnetic effects. The position and velocity vectors $mathbf{r},~mathbf{v}$ of Mercury and Earth are changed by the solar Lense-Thirring effect by about $10~textrm{m},~1.5~textrm{m}$ and $10^{-3}~textrm{cm s}^{-1},~10^{-5}~textrm{cm s}^{-1}$, respectively, over 2 yr; neglecting such shifts may have an impact on long-term integrations of the inner solar system dynamics over $simtextrm{Gyr}$ timescales." @default.
- W2618255461 created "2017-06-05" @default.
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- W2618255461 date "2017-05-30" @default.
- W2618255461 modified "2023-09-27" @default.
- W2618255461 title "A general method to analytically calculate post-Keplerian effects on observable quantities in binary systems" @default.
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