How do you calculate the acceleration due to gravity of a massive object (black hole) Is there an

Kiersten Hodge

Kiersten Hodge

Answered question

2022-05-20

How do you calculate the acceleration due to gravity of a massive object (black hole)
Is there an online calculator to find the acceleration of gravity a massive object exerts from a specific distance? I know the effects of gravity kind of just fade out with distance but I'm asking for mass-specifics.
For example, you plug in the mass of the object and the distance from the object to get the m/s^2 (and maybe even the escape velocity)???
(I'm also thinking this would be some sort of exponential graph, like "acceleration" on the y axis and "distance" on the x axis)

Answer & Explanation

Christian Hawkins

Christian Hawkins

Beginner2022-05-21Added 16 answers

The equation for the acceleration at a particular place under Newtonian gravitational acceleration, the formula is GM/(d)^2 where G is the gravitational constant which is equal to 6.67408 × 10-11 m^3 kg^-1 s^-2, M is the mass of the massive body in kg, and d is the distance from the center of mass (or just Radius + Altitude) in meters. If you don't want to calculate this yourself, a good calculator is here: Calculator
If you know calculus, I can go into more detail about differential equations if you want to position based on time.

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