00 · QUICK ORIENTATION
Three motions hidden inside one orbit
- 1Earth’s gravity acts strongly enough at the Moon to keep changing its velocity. Without gravity, the Moon would continue approximately along a tangent.
- 2The Moon already has sideways velocity. As it falls inward, Earth’s surface curves away beneath the path, so the Moon keeps missing the ground.
- 3The real Earth–Moon motion is an evolving, perturbed ellipse around a common center of mass—not a perfect circle fixed forever.
01 · GRAVITY IS THE CAUSE
The Moon stays up because it is being pulled down
A common picture says the Moon is far enough away that Earth’s gravity nearly disappears. It does not. Gravity weakens with distance, but at the Moon it still supplies the inward acceleration that continually bends the path.
If Earth’s gravity vanished at one instant, the Moon would not remain hovering. Its existing velocity would carry it approximately along the tangent to the orbit. Gravity is what prevents that straight-line departure.
02 · SPEED HAS A DIRECTION
Gravity changes where the Moon is going
Velocity is not only speed; it includes direction. At each moment the Moon’s velocity points roughly along its path, while gravitational acceleration points toward the Earth–Moon system’s center of mass.
Adding a small inward change to the old velocity produces a new direction. Repeating that change continuously makes a curve. In an inertial frame, no outward force is needed to hold the Moon up: gravity is the real force and curvature is the result.
03 · FALLING AROUND A CURVE
The ground bends away as the Moon falls
Newton’s mountain thought experiment makes the geometry visible. A slow projectile hits nearby. A faster one travels farther before impact. With the right sideways speed and no atmosphere, the object falls by just enough while the spherical surface curves away by just enough.
At a chosen radius, circular speed is v = √(GM/r). Less or more speed generally produces an ellipse; at escape speed, √2 times the circular speed at that point in the ideal two-body model, the path is no longer bound.
“Missing Earth” is not a one-time trick. Gravity renews the inward turn at every point of the orbit.
The launch point is fixed at two Earth radii in an ideal two-body model with no atmosphere. The path changes even though gravity always points inward.
The fall closes into an orbit
Near 1.00× the path is circular; other bound speeds produce an ellipse.
04 · THE REAL LUNAR PATH
The Moon does not trace a perfect circle
The average center-to-center distance between Earth and the Moon is about 384,400 kilometers.
Relative to the stars, the Moon completes an orbit in about 27.3 days.
Its orbit is a slightly eccentric ellipse, so the distance varies between perigee and apogee. The Sun strongly perturbs that ellipse, while its orientation and tilt change on longer cycles. A neat fixed ring is a useful first model, not a literal track in space.
05 · EARTH MOVES TOO
Both bodies orbit their common center of mass
Earth pulls the Moon, and the Moon pulls Earth with an equal and opposite gravitational force. Because Earth is about 81 times more massive, the shared barycenter lies inside Earth, but not at Earth’s center.
The Moon’s large loop and Earth’s smaller wobble are two parts of one motion. Saying “the Moon orbits Earth” is an excellent approximation for many purposes; the barycentric description is the more complete one.
06 · AN ORBIT THAT EVOLVES
Tides slowly trade Earth’s spin for lunar orbital motion
Lunar laser ranging shows that the Moon’s mean distance is increasing by about 3.8 centimeters per year.
Earth rotates faster than the Moon goes around it. Tidal bulges are carried slightly ahead of the Earth–Moon line, and their gravity exerts a torque: Earth’s rotation slows while angular momentum is transferred to the lunar orbit. The present recession rate is measured, not a constant to extrapolate unchanged through all history.
07 · FROM CANNONBALL TO LASER PULSE
A thought experiment became a measured trajectory
Newton used a cannon fired from an impossibly high mountain to join terrestrial falling with celestial orbit. The same mechanics later made artificial satellites and lunar missions calculable.
Apollo astronauts and Soviet robotic missions placed retroreflectors on the Moon. Timing laser pulses sent from Earth and returned by those arrays now tests the lunar ephemeris, tidal evolution, the Moon’s interior and gravitational theory.
08 · EVIDENCE TRAIL
Official mechanics, orbital data and laser measurements
All five editions use the same six-source package and keep the teaching model separate from the measured lunar orbit.
- 01NASA/JPL · Basics of Space Flight: Gravity & MechanicsOFFICIAL GUIDE ↗
NASA/JPL guide to free fall, Newton’s cannon and orbital mechanics.
- 02NASA Science · Moon FactsOFFICIAL DATA ↗
NASA Moon facts for average distance and orbital period.
- 03NASA GSFC · Eclipses and the Moon’s OrbitOFFICIAL REFERENCE ↗
NASA GSFC reference for eccentricity, perigee, apogee and lunar periods.
- 04JPL Solar System Dynamics · BarycenterTECHNICAL GLOSSARY ↗
JPL Solar System Dynamics definition of the Earth–Moon barycenter.
- 05JPL · The Apollo Experiment That Keeps on GivingOFFICIAL EXPLAINER ↗
JPL account of Apollo retroreflectors and the measured recession rate.
- 06Williams et al. · Lunar Laser Ranging SciencePRIMARY REVIEW ↗
Primary technical review of lunar laser ranging science.
