  The main idea of this challenging research is to revisit the solar-centric
dynamics of Earth around the Sun in analysis of its position on 13 April 2029
close to asteroid Apophis which is supposed to be moving in fly-by near the
Earth on its orbit. As of now, we can be sure that trajectory of Apophis is
well-known with respect to the center of Sun. Also, NASA experts calculated
that relative distance between center of Earth and Apophis should be less than
38 thousands of kilometers during closest Apophis approach to the Earth. But
the reasonable question is: will the center of Earth be at the predicted
position at the beginning of April 2029? The matter is that NASA solving
procedure disregards influence of Milankovich cycles to the orbit of Earth but
alternative concept suggests another solution (with additional quasi-periodic
deviation from their solution, proportional to square of eccentricity of Earth
orbit around the Sun equals to ~ 0.017). So, possible perturbation of Earth
orbit is likely to be proportional to (0.017)$^2$ ~ 0.03% from 1 a.e. or ~ 43
200 km which could be compared with gap between Earth and Apophis during
closest Apophis approach to Earth in April 2029.
