The negative well
Gravitational potential energy near a surface is — U equals m g h, with the mass in kilograms, the local field strength, and the height above a zero you chose yourself (the bench, the floor, the ground). That chosen zero is fine while g barely changes. Leave the surface and it fails, so astronomy uses the honest form: , with the central mass, the orbiting mass, their separation in metres, and the zero fixed at infinite separation.
Hence the minus sign, which alarms everyone once and then never again: zero is infinitely far away, so everything gravity still holds sits BELOW zero. Negative means bound. Climb outward and rises toward zero; reach zero with nothing to spare and you have just barely escaped. Note also the single downstairs — the force has , the energy has , and mixing them is the classic slip.
Put that at exactly zero total energy and you get , the escape speed: the launch speed from distance that arrives at infinity with nothing left. Set it beside the orbital speed and only a factor of separates them. Orbiting is falling forever; escaping costs 41% more speed and buys the entire universe. And notice the escaping object's own mass is nowhere in it — a pebble and a spacecraft need exactly the same number.