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The Hill sphere is a common model for the calculation of a gravitational sphere of influence. It is the most commonly used model to calculate the spatial extent of gravitational influence of an astronomical body (m) in which it dominates over the gravitational influence of other bodies, particularly a primary (M). [1]
The following equation models this relationship: F = W sin Ø where F is gravitational force, W is the weight of the material occurring at some point on the slope, and Ø is the angle of the slope.
25 Οκτ 2016 · The acceleration due to gravity from a point mass on another mass at position $\mathbf{r}$ is given by the usual inverse square law: $$\ddot{\mathbf{r}} = -\frac{Gm}{\left\|\mathbf{r}\right\|^2}\hat{\mathbf{r}}$$
25 Ιαν 2017 · The formula for calculating the gravitational force on a hill is F = mg, where F is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity. The value of g can vary slightly depending on the elevation and location on the hill.
12 Νοε 2021 · I know of the equation for determining the Hill sphere. Which is $a(1-e)(m/3M)^{1/3}$. However I noticed that during the derivation of this formula that the assumption that $m\ll M$ is used.
6 Οκτ 2013 · As the height and slope of the hill increases, it reaches a critical height where the sand's friction can be overcome by the slope, and this will be the maximum slope formed, known as the repose angle. This angle varies from substance to substance.
An astronomical body 's Hill radius is a calculated radius of the surrounding spherical region (Hill sphere aka Roche sphere) within which smaller bodies would tend to orbit the body despite the gravity of some third body that the two are orbiting together.
