Orbital Mechanics
Introduction
Orbital mechanics is the application of physics to understand and predict the motion of objects in space, particularly those following orbits around celestial bodies, whether that be the Moon, Earth, or any other object with gravity.
Instead of travelling in straight lines, objects in space will always follow curved paths called orbits, which are determined by the forces acting on them. With the right direction and speed, an object can keep circuling around an object without hitting its surface. Think of orbits as a continuous freefall, where the object is being pulled down but has enough speed to avoid crashing.
Understanding Gravity
Gravity is the fundamental force that governs the motion of objects in space. It is the attraction force between two masses, keeping planets in orbit around a star and moons in orbit around a planet. It can also be imagined as an invisible tether.
All celestial bodies with sufficient mass generate a gravitational field. The heavier the body, the stronger the gravity will be, requiring more speed to stay in orbit.
What are orbits?
An orbit is a curved path that an object will follow around a body if there is a balance between velocity and gravity. Orbits are almost never perfectly circular, although you can get close. The most common orbits you will see are elliptical orbits and circular orbits.
The idea of elliptical orbits was actually first proposed by Johannes Kepler, who showed that planets don't move in perfect circles.
| Circular Orbit | An orbit that has an almost circular shape. |
| Elliptical Orbit | An orbit that has a noticeable higher point and lower point on the orbit path. These points are known as apogee and perigee respectively. |
| Parabolic Trajectory | An orbit path that is unbound to its body. This is caused be having just enough velocity to reach the escape. |
| Hyperbolic Trajectory | Very similar to a parabolic trajectory, except the speed is substantially more than the required escape velocity. |
Manoeuvring in orbit
Once an object is in orbit, it doesn't stay there forever. Unbeknownst to some, objects in orbit can be moved. In spaceflight, changing an orbit is called an orbital manoeuvre, which requires using very precise, carefully timed engine burns.
Unlike flying in an atmosphere, you don't turn in space. Instead you adjust your speed, which will change your orbit over time.
| Prograde Burn | Burning prograde (forwards) will increase speed, raising the opposite side of the orbit. |
| Retrograde Burn | Burning retrograde (backwards) will decrease your speed, loweringthe opposite side of the orbit. |
| Radial-In | Burning while facing the centre of the body will slightly tilt the axis and eccentricity. |
| Radial-Out | Burning while facing away from the centre of the body will do the opposite of radial-in. |
| Normal | Burning while pointing above the orbital plane increases the orbit inclination and tilt relative to the equator |
| Anti-Normal | Burning while pointing below the orbital plane decreases the orbit inclination and tilt relative to the equator |