Celestial Dynamics Results Index
Generated plots, animations, diagnostics, and data exports for the repository examples.
Plots33
Animations22
Data files8
Method dashboard
Sun-Earth summary CSV
Earth-Moon summary CSV
Runtime benchmark CSV
Plot manifest CSV
| Artifact | Type | Method | Steps | Energy ratio | Title |
|---|---|---|---|---|---|
| convergence_rates.pngimages/analysis/convergence_rates.png | diagnostic | RK4 | Sun-Earth Convergence Against Fine RK4 Reference | ||
| sun_earth_angular_momentum_drift.pngimages/analysis/sun_earth_angular_momentum_drift.png | diagnostic | Sun-Earth Angular Momentum Drift by Method | |||
| sun_earth_energy_error.pngimages/analysis/sun_earth_energy_error.png | diagnostic | Sun-Earth Energy Error by Method | |||
| sun_earth_energy_error_all_methods.pngimages/comparisons/sun_earth_energy_error_all_methods.png | method_comparison_diagnostic | 250 | Sun-Earth One-Year Energy Error Comparison | N = 250 steps | ||
| sun_earth_all_methods.pngimages/comparisons/sun_earth_all_methods.png | method_comparison_orbit | 250 | Sun-Earth One-Year Trajectory Comparison | N = 250 steps | ||
| rotating_square_four_body.pngimages/n_body/special_solutions/rotating_square_four_body.png | n_body_orbit | Runge-Kutta | 20000 | 1.0000000 | Four-Body Rotating Square | T = 124.0 years, N = 20000 steps |
| triangular_central_four_body.pngimages/n_body/special_solutions/triangular_central_four_body.png | n_body_orbit | Runge-Kutta | 20000 | 1.0000000 | Four-Body Triangular Central Configuration | T = 162.4 years, N = 20000 steps |
| sun_earth_mars_jupiter.pngimages/n_body/sun_earth_mars_jupiter.png | n_body_orbit | Runge-Kutta | 6000 | 1.0000000 | Sun-Earth-Mars-Jupiter N-Body RK4 | T = 12.0 years, N = 6000 steps |
| euler_trajectory.pngimages/projectile/euler_trajectory.png | projectile | Euler Method | Projectile Trajectory: Euler Method vs Analytical Solution | ||
| heun_trajectory.pngimages/projectile/heun_trajectory.png | projectile | Heun's Method | Projectile Trajectory: Heun's Method vs Analytical Solution | ||
| midpoint_trajectory.pngimages/projectile/midpoint_trajectory.png | projectile | Midpoint Method | Projectile Trajectory: Midpoint Method vs Analytical Solution | ||
| lyapunov_near_l1.pngimages/three_body/restricted/lyapunov_near_l1.png | restricted_three_body | Planar Lyapunov-Like Orbit Near Earth-Moon L1 | |||
| restricted_earth_moon_trojan.pngimages/three_body/restricted/restricted_earth_moon_trojan.png | restricted_three_body | Restricted Earth-Moon Trojan Near L4 | Rotating CR3BP frame | |||
| sitnikov_three_body.pngimages/three_body/restricted/sitnikov_three_body.png | sitnikov | 20000 | Sitnikov Restricted Three-Body Problem | T = 8.0 years, N = 20000 steps | ||
| binary_distant_third.pngimages/three_body/general/binary_distant_third.png | three_body_orbit | 20000 | 1.0000001 | Binary Stars with a Distant Third Body | T = 5.0 years, N = 20000 steps | |
| earth_mars_sun.pngimages/three_body/general/earth_mars_sun.png | three_body_orbit | Runge-Kutta Method | 1000 | 1.0000000 | Earth-Mars-Sun System (Runge-Kutta Method) | T = 1.0 years, N = 1000 steps |
| earth_moon_spacecraft.pngimages/three_body/general/earth_moon_spacecraft.png | three_body_orbit | Runge-Kutta Method | 10000 | 1.0000000 | Earth-Moon-Spacecraft System (Runge-Kutta Method) | T = 0.4 years, N = 10000 steps |
| perturbed_figure_8.pngimages/three_body/perturbations/perturbed_figure_8.png | three_body_orbit | 30000 | 1.0000000 | Perturbed Figure-8 Three-Earth System | T = 616.2 years, N = 30000 steps | |
| perturbed_lagrange_three_earths.pngimages/three_body/perturbations/perturbed_lagrange_three_earths.png | three_body_orbit | 30000 | 1.0000003 | Perturbed Lagrange Three-Earth System | T = 666.3 years, N = 30000 steps | |
| butterfly_choreography.pngimages/three_body/special_solutions/butterfly_choreography.png | three_body_orbit | 100000 | 1.0000262 | Butterfly I Three-Earth Choreography | T = 202.4 years, N = 100000 steps | |
| euler_collinear_three_earths.pngimages/three_body/special_solutions/euler_collinear_three_earths.png | three_body_orbit | Runge-Kutta Method | 20000 | 1.0000000 | Euler Collinear Three-Earth Solution (Runge-Kutta Method) | T = 182.5 years, N = 20000 steps |
| lagrange_three_earths.pngimages/three_body/special_solutions/lagrange_three_earths.png | three_body_orbit | Runge-Kutta Method | 20000 | 1.0000000 | Lagrange Three-Earth Solution (Runge-Kutta Method) | T = 333.1 years, N = 20000 steps |
| three_earths.pngimages/three_body/special_solutions/three_earths.png | three_body_orbit | Runge-Kutta Method | 20000 | 1.0000000 | Three Earths System (Runge-Kutta Method) | T = 205.4 years, N = 20000 steps |
| rotating_square_four_body.htmlimages/n_body/special_solutions/rotating_square_four_body.html | trajectory_animation | 900 | Four-Body Rotating Square | T = 124.0 years, N = 20000 steps | ||
| triangular_central_four_body.htmlimages/n_body/special_solutions/triangular_central_four_body.html | trajectory_animation | 900 | Four-Body Triangular Central Configuration | T = 162.4 years, N = 20000 steps | ||
| sun_earth_mars_jupiter.htmlimages/n_body/sun_earth_mars_jupiter.html | trajectory_animation | RK4 | 900 | Sun-Earth-Mars-Jupiter N-Body RK4 | T = 12.0 years, N = 6000 steps | |
| binary_distant_third.htmlimages/three_body/general/binary_distant_third.html | trajectory_animation | 900 | Binary Stars with a Distant Third Body | T = 5.0 years, N = 20000 steps | ||
| earth_mars_sun.htmlimages/three_body/general/earth_mars_sun.html | trajectory_animation | Runge-Kutta Method | 900 | Earth-Mars-Sun System (Runge-Kutta Method) | T = 1.0 years, N = 1000 steps | |
| earth_moon_spacecraft.htmlimages/three_body/general/earth_moon_spacecraft.html | trajectory_animation | Runge-Kutta Method | 900 | Earth-Moon-Spacecraft System (Runge-Kutta Method) | T = 0.4 years, N = 10000 steps | |
| perturbed_figure_8.htmlimages/three_body/perturbations/perturbed_figure_8.html | trajectory_animation | 900 | Perturbed Figure-8 Three-Earth System | T = 616.2 years, N = 30000 steps | ||
| perturbed_lagrange_three_earths.htmlimages/three_body/perturbations/perturbed_lagrange_three_earths.html | trajectory_animation | 900 | Perturbed Lagrange Three-Earth System | T = 666.3 years, N = 30000 steps | ||
| butterfly_choreography.htmlimages/three_body/special_solutions/butterfly_choreography.html | trajectory_animation | 900 | Butterfly I Three-Earth Choreography | T = 202.4 years, N = 100000 steps | ||
| euler_collinear_three_earths.htmlimages/three_body/special_solutions/euler_collinear_three_earths.html | trajectory_animation | Runge-Kutta Method | 900 | Euler Collinear Three-Earth Solution (Runge-Kutta Method) | T = 182.5 years, N = 20000 steps | |
| lagrange_three_earths.htmlimages/three_body/special_solutions/lagrange_three_earths.html | trajectory_animation | Runge-Kutta Method | 900 | Lagrange Three-Earth Solution (Runge-Kutta Method) | T = 333.1 years, N = 20000 steps | |
| three_earths.htmlimages/three_body/special_solutions/three_earths.html | trajectory_animation | Runge-Kutta Method | 900 | Three Earths System (Runge-Kutta Method) | T = 205.4 years, N = 20000 steps | |
| earth_moon_euler.htmlimages/two_body/earth_moon/earth_moon_euler.html | trajectory_animation | Euler Method | 900 | Earth-Moon System (Euler Method) | T = 10.0 lunar months, N = 1000 steps | |
| earth_moon_heuns.htmlimages/two_body/earth_moon/earth_moon_heuns.html | trajectory_animation | Heun's Method | 900 | Earth-Moon System (Heun's Method) | T = 10.0 lunar months, N = 1000 steps | |
| earth_moon_midpoint.htmlimages/two_body/earth_moon/earth_moon_midpoint.html | trajectory_animation | Midpoint Method | 900 | Earth-Moon System (Midpoint Method) | T = 10.0 lunar months, N = 1000 steps | |
| earth_moon_runge_kutta.htmlimages/two_body/earth_moon/earth_moon_runge_kutta.html | trajectory_animation | Runge-Kutta Method | 900 | Earth-Moon System (Runge-Kutta Method) | T = 10.0 lunar months, N = 1000 steps | |
| earth_moon_velocity_verlet.htmlimages/two_body/earth_moon/earth_moon_velocity_verlet.html | trajectory_animation | Velocity Verlet Method | 900 | Earth-Moon System (Velocity Verlet Method) | T = 10.0 lunar months, N = 1000 steps | |
| sun_earth_euler.htmlimages/two_body/sun_earth/sun_earth_euler.html | trajectory_animation | Euler Method | 900 | Sun-Earth System (Euler Method) | T = 25.00 years, N = 1000 steps | |
| sun_earth_heuns.htmlimages/two_body/sun_earth/sun_earth_heuns.html | trajectory_animation | Heun's Method | 900 | Sun-Earth System (Heun's Method) | T = 25.00 years, N = 1000 steps | |
| sun_earth_midpoint.htmlimages/two_body/sun_earth/sun_earth_midpoint.html | trajectory_animation | Midpoint Method | 900 | Sun-Earth System (Midpoint Method) | T = 25.00 years, N = 1000 steps | |
| sun_earth_runge_kutta.htmlimages/two_body/sun_earth/sun_earth_runge_kutta.html | trajectory_animation | Runge-Kutta Method | 900 | Sun-Earth System (Runge-Kutta Method) | T = 25.00 years, N = 1000 steps | |
| sun_earth_velocity_verlet.htmlimages/two_body/sun_earth/sun_earth_velocity_verlet.html | trajectory_animation | Velocity Verlet Method | 900 | Sun-Earth System (Velocity Verlet Method) | T = 25.00 years, N = 1000 steps | |
| earth_moon_euler.pngimages/two_body/earth_moon/earth_moon_euler.png | two_body_orbit | Euler Method | 1000 | 0.3217676 | Earth-Moon System (Euler Method) | T = 10.0 lunar months, N = 1000 steps |
| earth_moon_heuns.pngimages/two_body/earth_moon/earth_moon_heuns.png | two_body_orbit | Heun's Method | 1000 | 0.9922706 | Earth-Moon System (Heun's Method) | T = 10.0 lunar months, N = 1000 steps |
| earth_moon_midpoint.pngimages/two_body/earth_moon/earth_moon_midpoint.png | two_body_orbit | Midpoint Method | 1000 | 0.9980123 | Earth-Moon System (Midpoint Method) | T = 10.0 lunar months, N = 1000 steps |
| earth_moon_runge_kutta.pngimages/two_body/earth_moon/earth_moon_runge_kutta.png | two_body_orbit | Runge-Kutta Method | 1000 | 1.0000018 | Earth-Moon System (Runge-Kutta Method) | T = 10.0 lunar months, N = 1000 steps |
| earth_moon_velocity_verlet.pngimages/two_body/earth_moon/earth_moon_velocity_verlet.png | two_body_orbit | Velocity Verlet Method | 1000 | 1.0000007 | Earth-Moon System (Velocity Verlet Method) | T = 10.0 lunar months, N = 1000 steps |
| sun_earth_euler.pngimages/two_body/sun_earth/sun_earth_euler.png | two_body_orbit | Euler Method | 1000 | 0.1459464 | Sun-Earth System (Euler Method) | T = 25.00 years, N = 1000 steps |
| sun_earth_heuns.pngimages/two_body/sun_earth/sun_earth_heuns.png | two_body_orbit | Heun's Method | 1000 | 0.8490141 | Sun-Earth System (Heun's Method) | T = 25.00 years, N = 1000 steps |
| sun_earth_midpoint.pngimages/two_body/sun_earth/sun_earth_midpoint.png | two_body_orbit | Midpoint Method | 1000 | 0.9429582 | Sun-Earth System (Midpoint Method) | T = 25.00 years, N = 1000 steps |
| sun_earth_runge_kutta.pngimages/two_body/sun_earth/sun_earth_runge_kutta.png | two_body_orbit | Runge-Kutta Method | 1000 | 1.0004217 | Sun-Earth System (Runge-Kutta Method) | T = 25.00 years, N = 1000 steps |
| sun_earth_velocity_verlet.pngimages/two_body/sun_earth/sun_earth_velocity_verlet.png | two_body_orbit | Velocity Verlet Method | 1000 | 0.9999978 | Sun-Earth System (Velocity Verlet Method) | T = 25.00 years, N = 1000 steps |
