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goleafsgo113
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hey all, I'm just wondering, what conditions are necessary so that we could have 2 elliptical orbits such that the perihelion distance of one is the same as the aphelion of the other?
Let orbit 1 be the smaller orbit. Let orbit 2 be the larger orbit.goleafsgo113 said:hey all, I'm just wondering, what conditions are necessary so that we could have 2 elliptical orbits such that the perihelion distance of one is the same as the aphelion of the other?
The conditions for two elliptical orbits to have the same periapsis and aphelion are that both orbits must have the same eccentricity and semi-major axis. This means that the shapes and sizes of the ellipses must be identical.
No, two orbits with different eccentricities cannot have the same periapsis and aphelion. The eccentricity determines the shape of the ellipse, meaning that if the eccentricities are different, the shapes of the ellipses will also be different.
Holding the same periapsis and aphelion means that the two orbits have the same closest and farthest distances from the center of mass, respectively. This can have implications for gravitational interactions between the two objects in the orbits.
No, it is not common for two objects to have the same periapsis and aphelion in elliptical orbits. This is because it requires very specific conditions and parameters for the orbits to align in this way.
The velocities of the objects in these orbits will be different, as the velocities depend on the distance from the center of mass. However, at the periapsis and aphelion points, the objects will have equal velocities due to the conservation of angular momentum.