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2.9 KiB
2.9 KiB
relativity
Arduino library with relativity functions.
Description
This experimental library implements a number of functions that give indication of the time dilation etc due to relativistic speed.
Goal: Educational purposes or when one puts a cubesat into space :)
Interface
- relativity() constructor
- double getC() returns speed of light
- double getG() returns gravitational constant
- double factor(double speed) returns sqrt(1-v2/c2)
- double gamma(double speed) returns 1/sqrt(1-v2/c2)
- double relativeTime(double time, double speed) returns the relative time for given time and speed.
- double relativeLength(double length, double speed) returns the relative length for given length and speed.
- double relativeMass(double mass, double speed) returns the relative mass for given mass and speed.
- double EnergyMass(double mass, double speed) returns the energyMass for given mass and speed. Think E = mc^2.
Caching variants
These functions are the same however the math to calculate a given factor and gamma is done only once and cached. So these function will perform a bit better, especially if floating point is slow.
- void setSpeed(double speed = 0) set the speed once and calculate the factor and gamma to minimize math for next functions. Think caching.
- double getSpeed() returns speed set.
- double getFactor() returns factor for speed set
- double getGamma() returns gamma for speed set.
- double relativeTime(double time) returns the relative time for speed set with setSpeed().
- double relativeLength(double length) returns the relative length for speed set.
- double relativeMass(double mass) returns the relative mass for speed set.
- double EnergyMass(double mass) returns the energy mass for for speed set.
Gravity effects
- double gravitationalTime(double time, double speed) returns time dilation due to gravitational effects.
- double diameterEarth(uint8_t longitude = 45) calculates the diameter of the Earth given it is not a nice circle but more an ellipse, flatter on the poles and thicker on the equator. Longitude is in (absolute) degrees.
- double getPlanetMass(uint8_t n) returns planet mass in kg where 0 = Sun, 1 = Mercury etc
- double getPlanetRadius(uint8_t n) returns planet radius in kg where 0 = Sun, 1 = Mercury etc
Operations
See examples for typical usage.
Future
-
test test test test
-
add more functions
-
fix some overflow conditions.
-
add moons?
-
add caching version of mass / radius;