Mathematical and Physical Constants

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The Constants object gives users access to basic mathematical and physical constants via a static object that is available in all Mission Plans. The provided constants encompass those commonly found within the realms of electricity and magnetism, orbital mechanics, and fundamental mathematics. The Constants object can only be accessed through scripting and all of its properties are read-only.

 

 

Available Constants


The values of the mathematical and scientific constants and their sources are listed in the table below.

 

Constant Name

FreeFlyer Property

Value

Units

Description

Source

Astronomical Unit

AU

1.49597870699999988e8

One AU is defined as the mean distance between the center of the Earth and the center of the Sun.

NASA JPL

Boltzmann’s Constant

Boltzmann, k

1.380649e-29

Boltzmann's constant defines the relation between absolute temperature and kinetic energy in a molecule of an ideal gas.

BIPM 2019 International System of Units

Speed of Light

SpeedOfLight, c

2.99792458e5

The speed of light is defined as the speed that light travels in a vacuum.

NASA JPL

e

e

2.718281828459046

Unitless

The constant e, is defined based on the following limit:

Derived from a mathematical equation

Gravitational Constant

GravitationalConstant, G

6.67430e-20

The gravitational constant is the constant used in Newton's universal gravitation calculations.

NASA JPL

Golden Ratio

GoldenRatio

1.618033988749895

Unitless

Defined as the greater root of the polynomial which is equal to

Derived from a mathematical equation

Planck’s Constant

Planck, h

6.62607015e-40

Planck's constant is the quantum of electromagnetic action that relates a photon's energy to its frequency.

BIPM 2019 International System of Units

pi

Pi

3.141592653589793

Unitless

The constant pi, is defined as a circle's circumference C divided by its diameter d.

Derived from a mathematical equation

Stefan-Boltzmann Constant

StefanBoltzmann

5.670374419184433e-02

The Stefan-Boltzmann constant is defined based on the following combination of other constants:

Derived from other constants

 

 

 

Using the Constants Object


The Constants object can only be accessed through scripting. Users can access the values of different constants through the static properties of this object. The values of the constants can be used anywhere a Variable object could be used.

 

Variable pi = Constants.Pi;

Variable k  = Constants.Boltzmann;

 

Spacecraft Spacecraft1;

Spacecraft1.OrbitWizardGeoSynchSetup(Spacecraft1.Epoch, Constants.Pi, 0, 0, 0);

Spacecraft1.A = Constants.AU;

 

 

See Also


Constants Object

Working with Objects