Yes, this is the main. I did not start right away with this because I wanted to make sure that this topic is generally interesting to someone. This forum section - ATM - allows to publish non-standard theories. One of these theories claims that, firstly, the sphere of influence of any space object is not infinite, but limited in space, and, secondly, at least some fundamental constants may be different in the spheres of influence of other planets. These are not my original ideas but the authors of these ideas (which i read) did not give the exact formulas. I tried to develop these hypotheses. As a result, about 2 years ago I derived

the formula for calculating the Earth's radius by fundamental physical constants, and now I have derived the formula for calculating the distance between the Earth and the Sun. I do not say categorically that this distance is the maximum radius of the sphere of influence of the Earth, but it is very similar to this because it is obtained using the most important constant - the fine-structure constant.

Now about the "1 m/s". I argued as follows: if fundamental physical constants are somehow related to a planet, then they must necessarily be related to the gravitational parameter

*µ* of the planet. Next. If the radius of the sphere of influence of the planet is limited in space, then it must also be related with the gravitational parameter

**µ** of the planet. But the radius of an orbit in which any body (a satellite, a spacecraft etc) rotates around the planet is related with its orbital speed accordingly to the formula

**√(µ/R**_{o}) (if we neglect the ellipticity of the orbit

**R**_{o}). That is, the orbital speed of a body related to the maximum radius of the sphere of influence of the planet must be minimal. And I thought: could this minimum speed also exist in the micro-world of the planet, that is, in atoms, nuclei and electrons? And I got something.

If you are interested, I can continue. I would not like to divert attention to an uninteresting topic for you.

P.S.

If the constant

*α* was universal for all space objects, then it would be tempting to use it to calculate maximum spheres of influence of other planets with this formula:

where

*µ*_{p} is a gravitational parameter of a planet or a space object. Now I am analyzing this possibility.

May be. But it seems that the experience of the experts is still insufficient: