Astronomy
Give a nearby spacecraft a radial offset and an along-track impulse. Watch the curved relative path and find a closed formation orbit.
Linear Clohessy–Wiltshire motion around a circular 400 km orbit. Valid only for small separations; no contact, docking controller or attitude dynamics.
Equations x = (4-3cos nt)x₀ + 2(1-cos nt)vy₀/n; y = 6(sin nt-nt)x₀ + (4sin nt-3nt)vy₀/n
Astronomy
Tilt a reflecting sail. Resolve photon pressure into radial and tangential thrust and find the angle that gives the strongest sideways push.
Astronomy
Thousands of asteroids integrated under an eccentric Jupiter: the resonances pump their eccentricities until the orbits cross Mars or Jupiter, and the gaps open by themselves. Make Jupiter heavier to watch it happen within the run.
Astronomy
Swarms integrated about the triangular points in the rotating frame: tadpoles at small amplitude, horseshoes past the critical one, dispersal once the planet exceeds Routh’s limit.