Anonymous
Anonymous asked in Science & MathematicsAstronomy & Space · 4 weeks ago

# Could there be celestial bodies which orbit the sun in the parabola or the hyperbola forms?

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Is it true

If a body orbit the sun in a parabola form or a hyperbola form, there won’t be an aphelion

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• 4 weeks ago

Yes. An orbit can be a circle, ellipse, parabola, or hyperbola. Many comets have hyperbolic orbits. These orbits are not closed. That means the comet will go around the sun once and never return. It will continue out into interstellar space.

• 4 weeks ago

Yes, and yes that's right.

• 4 weeks ago

No.  Neither of those can be described as an orbit.  A parabola is a trajectory of an object affected by a single gravity source; it's moving at a high enough speed that it will fly by the gravitational source (a planet or a star, for example), and continue on in a different direction.

Hyperbolas - at least, in mathematics - refer to a pair of parabolas, which are both in the solution set for a particular function.  The line may come close to a particular focus, but never intersects it, and continuing the course, moves constantly away... for a spacecraft or another object, that would mean it would be affected by a star's or planet's gravity - but never go into orbit about it.

• 4 weeks ago

Yes, there ARE celestial bodies that orbit the Sun in usually hyperbolic orbits. Comets,  asteroids and at least one interstellar asteroid /comet, Oumamoo.

Yes , it is true that parabolic and hyperbolic orbits have no aphelia.

Parabolas are a unique type of hyperbola, similar to circles being a unique tips of ellipse with 0 eccentricity and obliquity and one one focus.. A parabola is a curve that has one focus and is equally distant from infinitely long line and a point. Parabolas have an eccentricity equal to 1.000000. ellipses have eccentricities < 1.000000. Hyperbolas have have eccentricities > 1.000000.