Also know, how far is Earth's sphere of influence?
The Hill sphere for Earth thus extends out to about 1.5 million km (0.01 AU). The Moon's orbit, at a distance of 0.384 million km from Earth, is comfortably within the gravitational sphere of influence of Earth and it is therefore not at risk of being pulled into an independent orbit around the Sun.
Subsequently, question is, what is gravitational sphere? Gravitational Sphere of the Planets We now will discuss the gravitational sphere of a planet, by which we mean the region of space within which the attraction of the planet is greater than solar attraction.
Similarly one may ask, what is the sun's sphere of influence?
Sphere of influence is orbital-radius x (smaller-mass / larger-mass) 2/5, or 2.5733e+20 x (1/9.3820e+10) 2/5, or 1.0509e+16 m, or 1.11 light years. This is significantly less than the distances to the nearest stars, so the assumption about stars not strongly interacting is valid for our part of the galaxy.
How do you find the Hill sphere?
The formula can be re-stated as follows: 3r3a3≈mM. This expresses the relation in terms of the volume of the Hill sphere compared with the volume of the second body's orbit around the first; specifically, the ratio of the masses is three times the ratio of these two spheres.