Which of the following analects has orbit matching the following description the eccentricity of the object is greater than the one so the object takes a hyperbolic pathway

Answer 1

In celestial mechanics, the type of orbit an object follows depends on its eccentricity (\(e\)), which is a measure of how "stretched out" the orbit is:

• If \(e < 1\), the orbit is elliptical (includes circular orbits, where \(e = 0\)).
• If \(e = 1\), the object follows a parabolic trajectory.
• If \(e > 1\), the object follows a hyperbolic trajectory.

Based on your description, you are referring to an object with an eccentricity greater than 1, which results in a hyperbolic pathway. This typically describes objects such as comets or spacecraft that are on a hyperbolic escape trajectory from a planetary body, meaning they are on a path that takes them away from the planet and not expected to return.

So, to summarize, an object with an eccentricity greater than 1 would indeed take a hyperbolic orbit/pathway.