plotting

Documentation

Index

• func PlotEffectivePotential(mass float64, L float64, outputPath string) error
• func PlotGeodesicTrajectory(mass float64, impactParameter float64, outputPath string) error
• func PlotMetricFunction(mass float64, outputPath string) error
• func PlotMultipleGeodesics(mass float64, impactParams []float64, outputPath string) error
• func PlotMultiplePotentials(mass float64, impactParams []float64, outputPath string) error
• func PlotRadialGeodesic(mass float64, impactParameter float64, outputPath string) error
• func PlotTimeDilation(mass float64, outputPath string) error

Functions

func PlotEffectivePotential

func PlotEffectivePotential(mass float64, L float64, outputPath string) error

PlotEffectivePotential creates a plot of the effective potential for photon orbits. V_eff(r) = (1 - 2M/r) * L²/r²

Parameters:

mass: Black hole mass
L: Angular momentum (impact parameter b)
outputPath: Where to save the PNG

func PlotGeodesicTrajectory

func PlotGeodesicTrajectory(mass float64, impactParameter float64, outputPath string) error

PlotGeodesicTrajectory plots a photon geodesic in the (x, y) plane. This shows the actual path of light around a black hole.

func PlotMetricFunction

func PlotMetricFunction(mass float64, outputPath string) error

PlotMetricFunction plots the metric function f(r) = 1 - 2M/r

func PlotMultipleGeodesics

func PlotMultipleGeodesics(mass float64, impactParams []float64, outputPath string) error

PlotMultipleGeodesics plots several photon paths with different impact parameters.

func PlotMultiplePotentials

func PlotMultiplePotentials(mass float64, impactParams []float64, outputPath string) error

PlotMultiplePotentials plots effective potentials for different impact parameters.

func PlotRadialGeodesic

func PlotRadialGeodesic(mass float64, impactParameter float64, outputPath string) error

PlotRadialGeodesic plots r vs proper time for a photon.

func PlotTimeDilation

func PlotTimeDilation(mass float64, outputPath string) error

PlotTimeDilation creates a plot of gravitational time dilation vs radius.