Gravitationally Bound Orbit Eccentricity Calculator

Calculate Orbital Eccentricity

km
The farthest distance from the central body (e.g., Sun, Earth).
km
The closest distance to the central body.

Unlock the secrets of celestial motion with our Gravitationally Bound Orbit Eccentricity Calculator. This free online tool allows you to quickly determine how elliptical a stable orbit is by simply inputting the object's apoapsis and periapsis radii. Ideal for astrophysics enthusiasts, students, and professionals alike, providing insights into the shape of orbits around a central body.

Formula:

The eccentricity (e) of a gravitationally bound orbit, given its apoapsis and periapsis radii, is calculated using the following formula:

e = (ra - rp) / (ra + rp)

  • e: Orbital Eccentricity (a dimensionless value between 0 and 1 for bound orbits)
  • ra: Apoapsis Radius (the farthest distance from the central body in its orbit)
  • rp: Periapsis Radius (the closest distance to the central body in its orbit)

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