LCM calculator

Radius of Sphere of Influence( Black Hole) Calculator

Physics Chemistry Engineering Financial More >>

↳

Aerospace Basic Physics Mechanical Others and Extra

⤿

Orbital Mechanics Aerodynamics Aircraft Mechanics Propulsion

⤿

The Two Body Problem

⤿

Fundamental Parameters Circular Orbits Elliptical Orbits Hyperbolic Orbits More >>

✖Black Hole Mass is expressed in solar mass is the mass of a particular black hole in evaluation.ⓘ Black Hole Mass [M_bh]			+10% -10%
✖Stellar Velocity Dispersion of the Host Bulge is the statistical dispersion of velocities about the mean velocity for a group of astronomical objects.ⓘ Stellar Velocity Dispersion of the Host Bulge [σ]			+10% -10%

✖Sphere of Influence Radius 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.ⓘ Radius of Sphere of Influence( Black Hole) [r_h]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download The Two Body Problem Formula PDF PDF Image

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
r_h = [G.]*(M_bh)/(σ)^2
This formula uses 1 Constants, 3 Variables

Constants Used

[G.] - Gravitational constant Value Taken As 6.67408E-11

Variables Used

Sphere of Influence Radius - (Measured in Meter) - Sphere of Influence Radius 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.
Black Hole Mass - (Measured in Kilogram) - 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 - (Measured in Meter per Second) - Stellar Velocity Dispersion of the Host Bulge is the statistical dispersion of velocities about the mean velocity for a group of astronomical objects.

STEP 1: Convert Input(s) to Base Unit

Black Hole Mass: 7.956E+30 Kilogram --> 7.956E+30 Kilogram No Conversion Required
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

r_h = [G.]*(M_bh)/(σ)^2 --> [G.]*(7.956E+30)/(1000000)^2

Evaluating ... ...

r_h = 530989804.8

STEP 3: Convert Result to Output's Unit

530989804.8 Meter -->530989.8048 Kilometer (Check conversion here)

FINAL ANSWER

530989.8048 ≈ 530989.8 Kilometer <-- Sphere of Influence Radius

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Orbital Mechanics » The Two Body Problem » Aerospace » Fundamental Parameters » Radius of Sphere of Influence( Black Hole)

Credits

Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has created this Calculator and 25+ more calculators!

Verified by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

Prasana Kannan has verified this Calculator and 10+ more calculators!

< Fundamental Parameters Calculators

Tsiolkovsky Rocket Equation

LaTeX Go Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass)

Parameter of Orbit

LaTeX Go Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter

Rocket Mass Ratio

LaTeX Go Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity)

Standard Gravitational Parameter

LaTeX Go Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1)

Radius of Sphere of Influence( Black Hole) Formula

LaTeX Go

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

What is solar mass ?

Solar mass is a unit of mass used in astronomy and astrophysics to measure the mass of celestial objects such as stars, galaxies, and clusters of galaxies. It is defined as the mass of the Sun, our closest star, which serves as a convenient standard for comparing the masses of other celestial bodies.

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 r_h 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 (M_bh) & 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 -> 530.9898 = [G.]*(7.956E+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 r_h = [G.]*(M_bh)/(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 (M_bh) & 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.

Home

FREE PDFs

🔍 Search