Looks right.WWCY said:
haruspex said:
Not if the sun is at the negative focus.WWCY said:
haruspex said:
It depends how you are defining r and P.WWCY said:
haruspex said:
A hyperbolic orbit is a type of orbit in which an object travels around a central body, such as a planet or star, in a path that is shaped like a hyperbola. Unlike elliptical orbits, which are closed and repeatable, hyperbolic orbits are open and do not return to their starting point.
The focus of a hyperbolic orbit is determined by the distance between the center of mass of the two bodies in the orbit. The focus is located at the point where the two bodies would be if they were both stationary and the orbiting object was moving in a straight line.
The foci of a hyperbolic orbit are important because they help determine the shape and orientation of the orbit. In a hyperbolic orbit, the foci are located on the line of symmetry of the hyperbola, and the distance between the foci is equal to the length of the semi-major axis of the orbit.
Hyperbolic orbits and parabolic orbits are both open orbits, but they differ in their eccentricities. A hyperbolic orbit has an eccentricity greater than 1, while a parabolic orbit has an eccentricity equal to 1. Additionally, a hyperbolic orbit has two foci, while a parabolic orbit has only one.
Hyperbolic orbits are commonly observed in space missions, such as probes and satellites, that use the gravity of a planet or other large body to change their trajectory. For example, the Voyager 2 spacecraft used a hyperbolic orbit around Jupiter to propel it towards its next destination, Saturn.
