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Ludwik, I don't understand your second sentence: "In this case . .. "
Furthermore, I don't understand your argument about the asteroid
one earth-diameter away. What direction wrt the earth-moon line
are you assuming the asteroid is located?
Our moon is about 30 earth-diameters away. In this case
HORIZONTAL components of forces exerted on any little
part of our planet are very small in comparison with
perpendicular components (on my picture where the
moon-earth line is horizontal). Thus lunar tidal forces
(gradient of F) are essentially horizontal (on my picture).
But this would not be so for an asteroid located only one
earth-diameter away from the center of our planet. Would
the vertical force components reduce the tidal effect?