Created by Kaki Varun Krishna
Mahatma Gandhi Institute of Technology (MGIT), Hyderabad
Kaki Varun Krishna has created this Calculator and 25+ more calculators!
Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune
Abhishek Dharmendra Bansile has verified this Calculator and 10+ more calculators!

Radius of Sphere of Influence Solution

STEP 0: Pre-Calculation Summary
Formula Used
Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5)
R2 = (R1/0.001)*(M1/M2)^(2/5)
This formula uses 3 Variables
Variables Used
Planet 1 radius - Planet 1 radius is the radius of the first considered planetary body. (Measured in Kilometer)
Planet 1 Mass - Planet 1 Mass is the mass of the first planetary body. (Measured in Kilogram)
Planet 2 Mass - Planet 2 Mass is the mass of the second planetary body. (Measured in Kilogram)
STEP 1: Convert Input(s) to Base Unit
Planet 1 radius: 14000000 Kilometer --> 14000000000 Meter (Check conversion here)
Planet 1 Mass: 5E+24 Kilogram --> 5E+24 Kilogram No Conversion Required
Planet 2 Mass: 1E+30 Kilogram --> 1E+30 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R2 = (R1/0.001)*(M1/M2)^(2/5) --> (14000000000/0.001)*(5E+24/1E+30)^(2/5)
Evaluating ... ...
R2 = 106100159655.728
STEP 3: Convert Result to Output's Unit
106100159655.728 Meter -->106100159.655728 Kilometer (Check conversion here)
FINAL ANSWER
106100159.655728 Kilometer <-- Planet 2 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 Formula

Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5)
R2 = (R1/0.001)*(M1/M2)^(2/5)

What is Sphere of Influence(Black Hole)

The sphere of influence is a region around a supermassive black hole in which the gravitational potential of the black hole dominates the gravitational potential of the host galaxy

How to Calculate Radius of Sphere of Influence?

Radius of Sphere of Influence calculator uses Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5) to calculate the Planet 2 radius, Radius of Sphere of Influence in astrodynamics and astronomy is the oblate-spheroid-shaped region around a celestial body where the primary gravitational influence on an orbiting object is that body. Planet 2 radius is denoted by R2 symbol.

How to calculate Radius of Sphere of Influence using this online calculator? To use this online calculator for Radius of Sphere of Influence, enter Planet 1 radius (R1), Planet 1 Mass (M1) & Planet 2 Mass (M2) and hit the calculate button. Here is how the Radius of Sphere of Influence calculation can be explained with given input values -> 1.061E+8 = (14000000000/0.001)*(5E+24/1E+30)^(2/5).

FAQ

What is Radius of Sphere of Influence?
Radius of Sphere of Influence in astrodynamics and astronomy is the oblate-spheroid-shaped region around a celestial body where the primary gravitational influence on an orbiting object is that body and is represented as R2 = (R1/0.001)*(M1/M2)^(2/5) or Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5). Planet 1 radius is the radius of the first considered planetary body, Planet 1 Mass is the mass of the first planetary body & Planet 2 Mass is the mass of the second planetary body.
How to calculate Radius of Sphere of Influence?
Radius of Sphere of Influence in astrodynamics and astronomy is the oblate-spheroid-shaped region around a celestial body where the primary gravitational influence on an orbiting object is that body is calculated using Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5). To calculate Radius of Sphere of Influence, you need Planet 1 radius (R1), Planet 1 Mass (M1) & Planet 2 Mass (M2). With our tool, you need to enter the respective value for Planet 1 radius, Planet 1 Mass & Planet 2 Mass and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!