Scale 02 · Solar System Student

How orbits work

An orbit is not a thing that happens to objects — it is a continuous freefall where the object moves sideways fast enough to keep missing the body it falls toward. Kepler described the shape; Newton explained why.

Gravity as a curved path

Gravity is not a force that "reaches out" and grabs objects — Einstein showed it is a curvature of spacetime caused by mass. Objects follow the straightest possible path through curved spacetime — and around a massive body like the Sun, those straight paths in curved spacetime are ellipses. Newton's earlier description — that gravity is a force pulling objects toward each other — gives the same orbits and is accurate enough for most engineering purposes.

The critical quantity is orbital speed. At a given altitude above a planet, there is exactly one circular orbital speed. Below that speed, the object spirals inward; above it, the object rises on an ellipse. At √2 × circular speed (escape velocity), the object leaves on a parabola and never returns. This is why rocket staging matters — each stage adds the speed needed to reach the next orbit.

Kepler's three laws, briefly

1
Ellipses. Every planet orbits the Sun in an ellipse, with the Sun at one focus. A circle is a special ellipse (eccentricity = 0). Earth's orbit has eccentricity 0.017 — nearly circular. Pluto's comet-like orbit has eccentricity 0.25.
2
Equal areas. The line connecting a planet to the Sun sweeps equal areas in equal times. Consequence: a planet moves fastest at perihelion (closest) and slowest at aphelion (farthest). Earth moves at 30.3 km/s at perihelion in January versus 29.3 km/s at aphelion in July.
3
T² ∝ a³. The square of the orbital period equals the cube of the semi-major axis (in consistent units). Double a planet's distance and its year becomes 2^(3/2) ≈ 2.83 times longer. This lets astronomers calculate orbital periods from distances and vice versa.

These laws apply to any two-body gravitational system — moons orbiting planets, binary stars, exoplanets, and artificial satellites. See how they're used in exoplanet detection, where the radial velocity method detects the orbital wobble they cause in a star.

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