हिल गोला कैलकुलेटर — सूत्र
## The Hill Sphere
The Hill sphere approximates the region around a body where its gravity dominates over tidal forces from a larger primary.
### Formula
**r_H = a (m / 3M)^(1/3)**
Moons must orbit well within the Hill sphere for long-term stability (typically within about one-third of r_H).
The Hill sphere approximates the region around a body where its gravity dominates over tidal forces from a larger primary.
### Formula
**r_H = a (m / 3M)^(1/3)**
Moons must orbit well within the Hill sphere for long-term stability (typically within about one-third of r_H).
हल किया गया उदाहरण
Find Earth's Hill sphere radius with respect to the Sun.
- r_H = a (m / 3M)^(1/3)
- m / (3M) = 5.972e24 / (3 × 1.989e30) = 1.001e-6
- (1.001e-6)^(1/3) = 0.01000
- r_H = 1.496e11 × 0.01000 ≈ 1.5 million km