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Radius of Sphere of Influence Formula

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Planet 2 radius is the radius of the second considered planetary body. Check FAQs

R 2 = (\frac{R 1}{0.001}) \cdot {(\frac{M p1}{M p2})}^{\frac{2}{5}}

R₂ - Planet 2 radius?R₁ - Planet 1 radius?M_p1 - Planet 1 Mass?M_p2 - Planet 2 Mass?

Radius of Sphere of Influence Example

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Here is how the Radius of Sphere of Influence equation looks like with Values.

Here is how the Radius of Sphere of Influence equation looks like with Units.

Here is how the Radius of Sphere of Influence equation looks like.

1.1E+8 = (\frac{1.4E+7}{0.001}) \cdot {(\frac{5E+24}{1E+30})}^{\frac{2}{5}}

1.1E+8km = (\frac{1.4E+7km}{0.001}) \cdot {(\frac{5E+24kg}{1E+30kg})}^{\frac{2}{5}}

1.1E+8 = (\frac{1.4E+7}{0.001}) \cdot {(\frac{5E+24}{1E+30})}^{\frac{2}{5}}

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Radius of Sphere of Influence Solution

Follow our step by step solution on how to calculate Radius of Sphere of Influence?

FIRST Step Consider the formula

R 2 = (\frac{R 1}{0.001}) \cdot {(\frac{M p1}{M p2})}^{\frac{2}{5}}

Next Step Substitute values of Variables

∴

R 2 = (\frac{1.4E+7km}{0.001}) \cdot {(\frac{5E+24kg}{1E+30kg})}^{\frac{2}{5}}

Next Step Convert Units

∴

R 2 = (\frac{1.4E+10m}{0.001}) \cdot {(\frac{5E+24kg}{1E+30kg})}^{\frac{2}{5}}

Next Step Prepare to Evaluate

∴

R 2 = (\frac{1.4E+10}{0.001}) \cdot {(\frac{5E+24}{1E+30})}^{\frac{2}{5}}

Next Step Evaluate

∴

R 2 = 106100159655.728m

Next Step Convert to Output's Unit

∴

R 2 = 106100159.655728km

LAST Step Rounding Answer

∴

R 2 = 1.1E+8km

Radius of Sphere of Influence Formula Elements

Variables

Planet 2 radius

Planet 2 radius is the radius of the second considered planetary body.

Symbol: R₂

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Planet 2 radius

Planet 1 radius

Planet 1 radius is the radius of the first considered planetary body.

Symbol: R₁

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Planet 1 radius

Planet 1 Mass

Planet 1 Mass is the mass of the first planetary body.

Symbol: M_p1

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Planet 1 Mass

Planet 2 Mass

Planet 2 Mass is the mass of the second planetary body.

Symbol: M_p2

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Planet 2 Mass

Other formulas in Fundamental Parameters category

Go Rocket Mass Ratio

M R = e^{\frac{ΔV}{V e}}

Go Tsiolkovsky Rocket Equation

ΔV = I sp \cdot [g] \cdot \ln (\frac{M wet}{M dry})

Go Standard Gravitational Parameter

μ std = [G.] \cdot (M 1)

Go Parameter of Orbit

p = \frac{h^{2}}{μ std}

How to Evaluate Radius of Sphere of Influence?

Radius of Sphere of Influence evaluator uses Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5) to evaluate 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 evaluate Radius of Sphere of Influence using this online evaluator? To use this online evaluator 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.

FAQs on Radius of Sphere of Influence

What is the formula to find Radius of Sphere of Influence?

The formula of Radius of Sphere of Influence is expressed as Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5). Here is an example- 106100.2 = (14000000000/0.001)*(5E+24/1E+30)^(2/5).

How to calculate Radius of Sphere of Influence?

With Planet 1 radius (R₁), Planet 1 Mass (M_p1) & Planet 2 Mass (M_p2) we can find Radius of Sphere of Influence using the formula - Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5).

Can the Radius of Sphere of Influence be negative?

No, the Radius of Sphere of Influence, measured in Length cannot be negative.

Which unit is used to measure Radius of Sphere of Influence?

Radius of Sphere of Influence is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Radius of Sphere of Influence can be measured.

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Radius of Sphere of Influence Formula

Radius of Sphere of Influence Example

Radius of Sphere of Influence Solution

Radius of Sphere of Influence Formula Elements

Other formulas in Fundamental Parameters category

How to Evaluate Radius of Sphere of Influence?

FAQs on Radius of Sphere of Influence

Variable Name