Escape Boundary Has Zero Specific Energy - Orbital Mechanics: Gravity, Circular Orbits, and Escape Step by Step

The escape boundary is where total specific energy is zero. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The escape speed-square is checked at eight

The escape speed-square is 8 at the same radius.

v_e^{2}=8\ \mathrm{m^{2}/s^{2}}

The escape boundary has zero total specific energy

Specific kinetic energy 4 and potential negative 4 sum to 0.

4+-4=0\ \mathrm{J/kg}