Kepler's laws and delta-v describe spacecraft motion.
Kepler's laws and Newton's gravity govern orbits: circular speed v=√(μ/r) (≈7.8 km/s at LEO), period T=2π√(a³/μ). Transfers: Hohmann (two impulses), plane changes; delta-v budgets; orbital elements; perturbations (J2, drag). Interplanetary: patched conics, gravity assists.
A geostationary orbit has radius 42 164 km and period 24 h.
Orbital mechanics explains how spacecraft move under gravity, which determines launch windows, orbit choice and the fuel needed for manoeuvres.
Kepler's laws and delta-v describe spacecraft motion.
Orbital mechanics explains how spacecraft move under gravity, which determines launch windows, orbit choice and the fuel needed for manoeuvres.
Planets move in ellipses with the Sun at one focus, sweep equal areas in equal times, and the square of the period is proportional to the cube of the semi-major axis.
The change in velocity a spacecraft must achieve for a manoeuvre, which determines the propellant required.
Typical applications include choosing a transfer orbit to send a satellite to geostationary altitude, planning a launch window for a mission to Mars and estimating the orbital period of a satellite at low Earth altitude.
Study "Flight stability and control" first (topic 82 of 102 in Manufacturing, Robotics & Systems). It covers the groundwork this topic builds on.
μ_Earth=3.986×10¹⁴ m³/s². Vis-viva equation. Launch windows.
A geostationary orbit has radius 42 164 km and period 24 h.
The next topic is "Rocket propulsion", which builds directly on this one.
It is classed as Advanced in Manufacturing, Robotics & Systems (topic 83 of 102). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Manufacturing, Robotics & Systems.
Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.