Newton
Every mass attracts every other mass. The force grows with both masses and falls with the square of distance. This model accurately handles falling objects, moons, planets, and the calculations above.
Newton gives us the numbers. Einstein gives us the deeper picture. Use both to trace a fall, an orbit, and an escape from the same mass.
Choose a known body or enter your own. Every result is derived locally from the values you provide.
g = GM / R²(6.67430e-11 x 5.972e24) / 6,371,000²W = mg70 x 9.820vₑ = √(2GM / R)Escape from the surfacevₒ = √(GM / (R + h))Circular orbit 400 km above surfaceAt 400 km, a circular orbit moves sideways at 7.672 km/s while continuously falling around Earth.
Newton and Einstein are not rival buttons. They answer at different depths and agree extraordinarily well in ordinary weak gravity.
Every mass attracts every other mass. The force grows with both masses and falls with the square of distance. This model accurately handles falling objects, moons, planets, and the calculations above.
An orbit is continuous free fall with enough sideways motion to keep missing the surface. Newton's equations predict the speed; the path reveals that falling and orbiting are one family of motion.
Mass-energy curves spacetime. Freely falling objects follow the straightest available paths through that geometry, called geodesics. General relativity becomes essential for strong gravity and precision effects.
Scroll the same event through three levels of description.
Near Earth's surface, the lab calculates an acceleration of about 9.82 m/s². Newton's law turns Earth's mass and radius into that reliable prediction.
At 400 km altitude, about 7.67 km/s of sideways speed bends the fall into an orbit. The force model remains a superb working tool.
Einstein reframes the cause: Earth changes the geometry around it, and free objects follow geodesics. The numbers above are the weak-field limit of that deeper theory.
Export the current world, all four calculations, and the Newton-to-Einstein interpretation as a study-ready text brief.