Abstract
The purpose of the study is an analytical description of the normal fall of a body on the surface of a beatmos- pheric planet. In this case, the motion of a normally falling body is characterized by an increasing acceleration of gravi- ty. The problem of the speed, time and acceleration of the normal fall of a body on the planet's surface in the absence of an atmosphere is reduced to solving a second-order differential equation, which is solved by the standard method. In this work, the time equation of motion of a body normally falling on the surface of the planet in the absence of an a t- mosphere, as well as the time equations of its speed and acceleration are obtained. Expressions for distance, speed and acceleration are obtained as implicit functions of time. The results obtained can be useful in calculating the normal inci- dence of small celestial bodies and spent structural elements of spacecraft.
Keywords
planet, body, equation of motion, speed, acceleration, mass, distance.
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