LCM of two numbers

Radius of Sphere of Influence Calculator

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The Two Body Problem

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✖Planet 1 radius is the radius of the first considered planetary body.ⓘ Planet 1 radius [R₁]			+10% -10%
✖Planet 1 Mass is the mass of the first planetary body.ⓘ Planet 1 Mass [M_p1]			+10% -10%
✖Planet 2 Mass is the mass of the second planetary body.ⓘ Planet 2 Mass [M_p2]			+10% -10%

✖Planet 2 radius is the radius of the second considered planetary body.ⓘ Radius of Sphere of Influence [R₂]

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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)*(M_p1/M_p2)^(2/5)
This formula uses 4 Variables

Variables Used

Planet 2 radius - (Measured in Meter) - Planet 2 radius is the radius of the second considered planetary body.
Planet 1 radius - (Measured in Meter) - Planet 1 radius is the radius of the first considered planetary body.
Planet 1 Mass - (Measured in Kilogram) - Planet 1 Mass is the mass of the first planetary body.
Planet 2 Mass - (Measured in Kilogram) - Planet 2 Mass is the mass of the second planetary body.

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)*(M_p1/M_p2)^(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 ≈ 1.1E+8 Kilometer <-- Planet 2 radius

(Calculation completed in 00.004 seconds)

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Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

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

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Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

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Radius of Sphere of Influence Formula

LaTeX Go

Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5)
R₂ = (R₁/0.001)*(M_p1/M_p2)^(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 (M_p1) & Planet 2 Mass (M_p2) and hit the calculate button. Here is how the Radius of Sphere of Influence calculation can be explained with given input values -> 106100.2 = (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)*(M_p1/M_p2)^(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 (M_p1) & Planet 2 Mass (M_p2). 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.

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