Stability of Polar Solar Orbits: Can a Planet Change its Host Star?

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Discussion Overview

The discussion centers on the stability of polar orbits for planets around stars, particularly focusing on scenarios involving rogue planets and their potential capture by a star. Participants explore the implications of angular momentum, gravitational interactions, and the conditions under which a planet could achieve a polar orbit.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants suggest that polar orbits are unlikely to arise naturally due to the shared angular momentum of stars and their planets formed from the same dust and gas cloud.
  • Others propose that a captured rogue planet could achieve a polar orbit if it is the only planet in the system, although questions arise about how to define such an orbit.
  • There is a discussion about the necessity of a third body for a rogue planet to be captured, as it would otherwise follow a hyperbolic trajectory.
  • Some participants argue that polar orbits could be stable under certain conditions, particularly in the absence of other massive bodies that could destabilize the orbit.
  • Concerns are raised about the stability of polar orbits due to Kozai resonances, especially in systems with multiple bodies.
  • Participants consider the implications of a star having little to no debris around it and whether such a scenario is common or unlikely.
  • There is speculation about the possibility of a polar orbit planet originating from outside a solar system and the effects it could have on existing planetary orbits during close encounters.
  • Examples from celestial mechanics, such as the behavior of comets like Hale-Bopp, are discussed to illustrate potential capture scenarios and their effects on other bodies in the system.
  • Some participants suggest that a planet could switch its host star during close encounters, leading to a random orbit with respect to the new star's rotation.

Areas of Agreement / Disagreement

Participants express a range of views on the stability and feasibility of polar orbits for planets, with no consensus reached. The discussion remains unresolved regarding the conditions necessary for a planet to achieve and maintain a polar orbit around a star.

Contextual Notes

Limitations include the dependence on definitions of orbital types and the need for further clarification on the interactions required for rogue planet capture. The discussion also highlights the complexities of gravitational dynamics in multi-body systems.

Noisy Rhysling
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I need a planet to be orbiting it's sun in a polar orbit. Is this a stable configuration?
 
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It's unlikely that this could easily arise since a star and it's associated planets all form out of the same collapsing dust\gas cloud.
So the larger bodies which form tend to all inherit similar angular momentum.
I don't think there is anything which absolutely rules out that a planet might end up in a polar orbit of it's parent star.
In stellar systems having more than two large stars gravitationaly bound, it sounds plausible.
Then again, that setup might lead to chaotic planet orbits, although a planet might be in a polar orbit of one star for a while.
 
Okay, "natural" is out, what about a captured planet? Would a planet who wanders into a system have a chance of achieving a stable polar solar orbit? This would be the only planet in the system, with very low junk around the star before the wanderer arrived.
 
If it's the only planet, then how do you decide whether the orbit is polar or planar?

Rogue planet capture needs a third body to interact with, otherwise it'll just continue on a hyperbolic trajectory away from the system.
 
Bandersnatch said:
If it's the only planet, then how do you decide whether the orbit is polar or planar?

Rogue planet capture needs a third body to interact with, otherwise it'll just continue on a hyperbolic trajectory away from the system.
Doesn't our sun rotate?
 
Bandersnatch said:
Rogue planet capture needs a third body to interact with, otherwise it'll just continue on a hyperbolic trajectory away from the system.
Unless it doesn't have the relative velocity to escape the gravity well of the star, right?
 
Noisy Rhysling said:
Doesn't our sun rotate?
All right, if that's how you define planar, then polar orbits around a star are stable for most practical purposes. If there were any other massive bodies orbiting in the plane or solar rotation, then these would destabilise the polar orbit.

Noisy Rhysling said:
Unless it doesn't have the relative velocity to escape the gravity well of the star, right?
Consider that the planet comes from far away, from outside of gravitational influence of the star. As it falls into the gravity well it'll gain just as much velocity as it'll lose on the way out. I.e., if it was not bound to the star in the first place, then it won't become bound at all. Not without interaction with some third body.
 
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Bandersnatch said:
All right, if that's how you define planar, then polar orbits around a star are stable for most practical purposes. If there were any other massive bodies orbiting in the plane or solar rotation, then these would destabilise the polar orbit.
I don't know another way to define it. What have I missed/

Consider that the planet comes from far away, from outside of gravitational influence of the star. As it falls into the gravity well it'll gain just as much velocity as it'll lose on the way out. I.e., if it was not bound to the star in the first place, then it won't become bound at all. Not without interaction with some third body.
I'm picturing the wanderer spiraling into the system, not a dive in/dash out incident.
 
Noisy Rhysling said:
I don't know another way to define it. What have I missed/
No, it's all fine.

Noisy Rhysling said:
I don't know another way to define it. What have I missed/I'm picturing the wanderer spiraling into the system, not a dive in/dash out incident.
It can't just spiral in without a way to lose energy. If you've got a free-floating planet that encounters a lone star, then it MUST fall towards it on a hyperbolic trajectory, swing around, and leave with the same velocity relative to the star as it had at the beginning.

What you could do, is have the star begin with some planets, one or two, have the planet fall in, make a number of close encounters with the original planetary system, and as a result end up with the original planet(s) ejected and the rogue one captured.
 
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  • #10
That would work. So it would be possible under certain circumstances... Interesting. Now to get Our Hero to figure out what's strange about the system. Thanks.
 
  • #11
It tends to be unstable due to Kozai resonances.
 
  • #12
snorkack said:
It tends to be unstable due to Kozai resonances.
There's no third body in this setup.
 
  • #13
Yeah, I'm thinking the system is "strangely barren" with the exception of our oddly orbiting planet.
 
  • #14
Next thing, is a star with almost no "junk" around it uncommon, unlikely, no big deal, or "never going to happen"?
 
  • #15
Noisy Rhysling said:
Next thing, is a star with almost no "junk" around it uncommon, unlikely, no big deal, or "never going to happen"?
well you could have a neighboring star blow up and blow most to all the junk out from around it ( just a thought)
 
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  • #16
With so many double star sysem...
 
  • #17
rootone said:
It's unlikely that this could easily arise since a star and it's associated planets all form out of the same collapsing dust\gas cloud.
So the larger bodies which form tend to all inherit similar angular momentum.
I don't think there is anything which absolutely rules out that a planet might end up in a polar orbit of it's parent star.
In stellar systems having more than two large stars gravitationaly bound, it sounds plausible.
Then again, that setup might lead to chaotic planet orbits, although a planet might be in a polar orbit of one star for a while.

What if our polar orbit planet originated from outside the solar system? Rogue planets could come to our system by accident. Sufficiently advanced intelligent life might decide that planets made the best interstellar vehicles.

Even granted these possibilities, what if the orbit of our polar orbit planet intersected with the-plane-of-the-elliptic when it was nearby? Could the polar orbit visitor change the orbits of planets on the plane of the elliptic?
 
  • #18
Most hot Jupiters actually orbit at large inclinations to the star rotation, where that can be ascertained, and many are retrograde. So nothing unusual about it, merely inexplicable.
As for a "rogue" planet, look at Hale-Bopp comet. Inclination quoted as 89,4 degrees, so practically polar.
The one passage changed the aphelion distance from 525 AU to 370 AU.
Well, an equivalent passage of Solar System for a comet incoming on a parabolic orbit, first ever passage, could have captured it to a bound orbit, maybe 1250 AU aphelion distance!
And since the encounter was said to be with Jupiter, Jupiter would have had much the same effect if Hale-Bopp comet had had mass equal to that of Earth.
What would have happened if Hale-Bopp comet had had mass comparable to that of Saturn? Then it would have had a nonnegligible effect on orbit of Jupiter on its turn...
 
  • #19
The planet could have orbited some other star. During a close encounter between the stars the planet could switch. The planet's orbit around its new host would be random with respect to the host's rotation.
 

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