Skip to main content
Ctrl+K

MIRAGE

  • Getting Started
  • mirage
  • Examples Gallery
  • References
  • Getting Started
  • mirage
  • Examples Gallery
  • References

Section Navigation

  • Orbits
    • Propagating single TLE
    • Ground Tracks
    • Propagating with Perturbations
    • TLE Switching
    • Propagating the catalog
    • Classical IOD Methods
    • Restricted Circular IOD
  • Light Curves
    • Noise Addition Methods
    • Convex Light Curves
    • Rotating Solar Panels
    • Support Unobservability
    • Noisy Light Curves
    • Self-Shadowing Methods
    • Blinn-Phong BRDF Animated
    • Convex vs Engine Light Curves
    • Light Curve Ambiguities
    • Importance Sampling Cook-Torrance
    • BRDFs in Action
    • Neural Network Brightness
    • Light Curve Units
    • Light Curve Uncertainty
    • Types of Light Curves
  • Light Curve Inversion
    • Support Optimization Comparison
    • Perfect Information Inversion
    • Inversion PDF
    • EGI Optimization
    • Non-Convex Inversion
  • Coordinate Frames
    • Time Systems
    • The Equation of Time
    • Polar Motion
    • Third Body Interpolation
    • Coordinate System Interpolation
    • Equinoxes and Solstices
    • IAU-76 J2000 Reduction
  • Environment
    • Luminous Efficiency Function
    • Twilight Model
    • Airmass Function Comparison
    • Global Elevation
    • ASTM Spectra
    • Space Weather
    • Background Signals at Zenith
    • Atmospheric Scintillation
    • Penumbra Visualized
    • Shadow Functions
    • GAIA Patched Catalog
    • Terrain Tiles
    • Atmospheric Transmission
    • Solar Spectrum
    • Passbands
    • Solar System
    • Star Catalogs
    • Astronomical Spectra
    • Zenith Light Pollution
    • Calibrated Star Spectra
    • Background Importance
    • Background Signals
    • Earth Albedo BRDF
  • Plotting Options
    • Moon Librations
    • Plotting Earth
    • Conic Sensors
    • Cislunar Fragmentation
  • Attitude Kinematics and Dynamics
    • Constant Offset Surfaces
    • Euler Angle Sequence
    • Rigid Body Torque Free Attitudes
    • Aligned and Constrained
    • Brightness Isosurfaces
    • Torque-free Attitude Propagation
    • Comparing Runge-Kutta Methods
    • Random Sphere Point Statistics
  • Observer
    • Light Time Delay
    • Local Sidereal Time
    • Atmospheric Refraction
    • POGS Status
    • Azimuth/Elevation Conversion
    • Live Satellites From Observer
  • CCD Characterization
    • Quantum Efficiency Curves
    • Dilation and Erosion
    • Vega PSF
    • Convolution for Streaks
    • Digital Twin Animated
    • Noise Sampling
    • Digital Twin Animated
    • Mapping Model
    • Stars in FOV
    • Airy Disk Gaussian Fit
    • Bias Frames
    • Airy Disk Diffraction
    • CCD Heuristics
    • Streak Detection and Centroiding
    • Background Shape
    • Signal-to-Noise Ratio (SNR)
  • 3D Models
    • Introducing Concavities
    • Loading with MTL Properties
    • Merging with Bias
    • Shape Interpolation
    • Satellite Lineup
    • Shape Comparison Metrics
    • Signed Distance Fields
    • AABB Trees
    • Model Editor
  • Utility
    • Fitting Poisson Variables
    • Wavelength to RGB
    • Metropolis Hastings MCMC
    • Samplers
    • Spherical Voronoi Interpolation
    • KDTree vs BallTree
    • Skellam Distribution
    • Closest Average Random Nearest Neighbor
    • Quaternion Sampling Efficiency
    • Importance Sampling
    • PRNG Speed
    • Graphics Background
  • Works In Progress
    • Zodiacal Light
    • Precise Orbit Determination with Batch Least Squares
  • Synthetic RPO
    • Synthetic RPO
    • Relative orbit sequence
  • Attitude Inversion 2024
    • Flat Fielding Error
    • Shadow Cache
    • CCD Gain
    • Subframes
    • Sutherland-Hodgeman Clipping Algorithm
  • Digital Twin
    • Rendered Models
    • Synthetic Image Results
    • Simple Box-Wing Light Curves
    • Parametric Box-Wing Inversion
    • Synthetic Image Results
    • Zimmerwald Data
    • Parametric Box-Wing Inversion
  • European Space Debris Conference 2025
    • Animating Subframes
    • Synthetic Results
    • Shadow Caches
    • Plotting models
    • Generating R/B Light Curves
    • Results
    • Plotting Light Curves
  • Examples Gallery
  • Coordinate Frames

Coordinate Frames#

Computing and visualizing coordinate frame transformations

Time Systems

Time Systems

The Equation of Time

The Equation of Time

Polar Motion

Polar Motion

Third Body Interpolation

Third Body Interpolation

Coordinate System Interpolation

Coordinate System Interpolation

Equinoxes and Solstices

Equinoxes and Solstices

IAU-76 J2000 Reduction

IAU-76 J2000 Reduction

previous

Non-Convex Inversion

next

Time Systems

© Copyright 2023-2025, Liam Robinson.

Created using Sphinx 8.0.2.

Built with the PyData Sphinx Theme 0.15.4.