Linked from

The 20 pages that link to Vis-viva equation, each with the reason it gives.

• Orbital eccentricityRelated: It shows how speed varies around an ellipse whose shape eccentricity specifies.

• Orbital periodRelated: It explains how orbital speed varies during a period.

• Escape velocityRelated: Its zero-binding-energy limit gives the local escape speed.

• Hohmann transfer orbitRelated: It calculates spacecraft speeds at both burns from the transfer ellipse's geometry.

• Semimajor axisRelated: The equation shows how semimajor axis sets orbital speed at a given distance.

• Hyperbolic trajectoryRelated: It calculates speed along a hyperbolic path when the semimajor axis is negative.

• PeriapsisRelated: It gives the body's speed when its distance equals periapsis distance.

• Specific orbital energyRelated: It calculates speed at a given distance from the same orbital energy that sets the orbit's size.

• Gravitational parameterRelated: It uses μ to calculate speed at any point along a two-body orbit.

• Orbital maneuverRelated: It connects a burn's velocity change with the resulting orbital energy.

• Circular orbitRelated: It gives the circular-orbit speed when orbital distance equals the semimajor axis.

• Planetary orbitRelated: It calculates how a planet speeds up near its star and slows farther away.

• True anomalyRelated: Together with true anomaly, it helps determine distance and speed along an orbit.

• Oberth effectRelated: It shows why orbital speed is greatest at periapsis, where a burn gains the most energy.

• Orbital energyRelated: It expresses how conserved orbital energy constrains speed at each orbital distance.

• Kepler's second lawRelated: It quantifies the speed changes that accompany the law's equal-area sweeps.

• Bi-elliptic transferRelated: It gives the spacecraft’s speed at each impulse point on the transfer ellipses.

• Kepler orbitRelated: It gives the speed at any point along a Kepler orbit.

• Kepler's first lawRelated: It connects the ellipse’s dimensions to the planet’s speed at each position.