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Radius of Sphere of Influence( Black Hole) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sphere of Influence Radius = [G.]*(Black Hole Mass)/(Stellar Velocity Dispersion of the Host Bulge)^2
rh = [G.]*(Mbh)/(σ)^2
This formula uses 1 Constants, 2 Variables
Constants Used
[G.] - Gravitational constant Value Taken As 6.67408E-11 * Meter³/Kiogram Second²
Variables Used
Black Hole Mass - Black Hole Mass is expressed in solar mass is the mass of a particular black hole in evaluation. (Measured in Solar Mass)
Stellar Velocity Dispersion of the Host Bulge - Stellar Velocity Dispersion of the Host Bulge is the statistical dispersion of velocities about the mean velocity for a group of astronomical objects. (Measured in Kilometer per Second)
STEP 1: Convert Input(s) to Base Unit
Black Hole Mass: 4 Solar Mass --> 7.952E+30 Kilogram (Check conversion here)
Stellar Velocity Dispersion of the Host Bulge: 1000 Kilometer per Second --> 1000000 Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rh = [G.]*(Mbh)/(σ)^2 --> [G.]*(7.952E+30)/(1000000)^2
Evaluating ... ...
rh = 530722841.6
STEP 3: Convert Result to Output's Unit
530722841.6 Meter -->530722.8416 Kilometer (Check conversion here)
FINAL ANSWER
530722.8416 Kilometer <-- Sphere of Influence Radius
(Calculation completed in 00.016 seconds)

3 Mechanical Calculators

Radius of Sphere of Influence( Black Hole)
Sphere of Influence Radius = [G.]*(Black Hole Mass)/(Stellar Velocity Dispersion of the Host Bulge)^2 Go
Semi Major Axis of Phasing Ellipse
Semi Major Axis of Ellipse = ((Number of Periods*Gravitational Parameter^0.5)/(2*pi))^(2/3) Go
Radius of Sphere of Influence
Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5) Go

Radius of Sphere of Influence( Black Hole) Formula

Sphere of Influence Radius = [G.]*(Black Hole Mass)/(Stellar Velocity Dispersion of the Host Bulge)^2
rh = [G.]*(Mbh)/(σ)^2

If the black body is rotating, how does it effect radius of influence?

If the black hole is rotating, there will be a second radius of influence associated with the rotation.

How to Calculate Radius of Sphere of Influence( Black Hole)?

Radius of Sphere of Influence( Black Hole) calculator uses Sphere of Influence Radius = [G.]*(Black Hole Mass)/(Stellar Velocity Dispersion of the Host Bulge)^2 to calculate the Sphere of Influence Radius, The Radius of Sphere of Influence( Black Hole) is the radius of the region around a supermassive black hole in which the gravitational potential of the black hole dominates the gravitational potential of the host galaxy. Sphere of Influence Radius is denoted by rh symbol.

How to calculate Radius of Sphere of Influence( Black Hole) using this online calculator? To use this online calculator for Radius of Sphere of Influence( Black Hole), enter Black Hole Mass (Mbh) & Stellar Velocity Dispersion of the Host Bulge (σ) and hit the calculate button. Here is how the Radius of Sphere of Influence( Black Hole) calculation can be explained with given input values -> 530722.8 = [G.]*(7.952E+30)/(1000000)^2.

FAQ

What is Radius of Sphere of Influence( Black Hole)?
The Radius of Sphere of Influence( Black Hole) is the radius of the region around a supermassive black hole in which the gravitational potential of the black hole dominates the gravitational potential of the host galaxy and is represented as rh = [G.]*(Mbh)/(σ)^2 or Sphere of Influence Radius = [G.]*(Black Hole Mass)/(Stellar Velocity Dispersion of the Host Bulge)^2. Black Hole Mass is expressed in solar mass is the mass of a particular black hole in evaluation & Stellar Velocity Dispersion of the Host Bulge is the statistical dispersion of velocities about the mean velocity for a group of astronomical objects.
How to calculate Radius of Sphere of Influence( Black Hole)?
The Radius of Sphere of Influence( Black Hole) is the radius of the region around a supermassive black hole in which the gravitational potential of the black hole dominates the gravitational potential of the host galaxy is calculated using Sphere of Influence Radius = [G.]*(Black Hole Mass)/(Stellar Velocity Dispersion of the Host Bulge)^2. To calculate Radius of Sphere of Influence( Black Hole), you need Black Hole Mass (Mbh) & Stellar Velocity Dispersion of the Host Bulge (σ). With our tool, you need to enter the respective value for Black Hole Mass & Stellar Velocity Dispersion of the Host Bulge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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