To Calculations of the Free Fall Acceleration on the Earth Surface

Abstract

We obtain computational expressions for determining the generalized free fall acceleration at any point on the Earth surface depending on the terrestrial, solar, and lunar gravities, height above sea level, season, and diurnal time. The acceleration components due to the solar gravity and the Earth revolution around the Sun take sign-alternating values in the period of 24 hours. The greatest influence of the Sun on the free fall acceleration is in perihelion with the maximal diurnal amplitude of oscillations up to 55.34mGal, while the influence of the lunar gravity is negligible and takes sign-alternating values (up to 3–4mGal).We determine the maximum and minimum values of the acceleration on the Earth surface (983229.81 and 976073.25mGal) and also note the possibility of influence of accelerations due to centrifugal forces on the human organism.