by Chris Peterson » Sat Oct 20, 2018 1:57 pm
JohnD wrote: ↑Sat Oct 20, 2018 9:44 am
Chris Peterson wrote: ↑Tue Oct 15, 2013 11:49 pm
Anthony Barreiro wrote:I've had the impression that because Comet ISON's orbit is hyperbolic, this will be it's one and only pass through the inner solar system. Have I been laboring under a misapprehension?
Yes, you have been somewhat under a misapprehension. In fact, most comets with hyperbolic orbits are actually periodic (although all long period comets which haven't been observed before are called non-periodic). So-called hyperbolic orbit comets typically have eccentricities only very slightly greater than one, and those eccentricities drop below one again once they are some distance from the Sun. The result is a comet with a period of hundreds of thousands or more years (there's no way to reliably determine the period of such comets), but definitely an orbit that will remain closed around the Sun. Only a very few comets have been observed on obvious ejection orbits.
C/2012 S1 is almost certainly periodic.
Revival of this thread, to ask about the difference between "non-periodic" comets, AKA never seen before, comets with very long orbits, and Oumuamua. Chris, you said above that some long orbit comets cannot have their period determined, but that some have been on ejection orbits. That was five years ago.
Oumuamua was unique in that it was clearly rocky, with little or no tail but was announced as definitely coming from outside the Solar System and heading away, never to return. Has orbit calculation improved since then, to allow such confidence? Or could previous icy, tailed comets have been extra-solar?
John
Orbit calculation methods haven't changed, and won't. The problem is that you're trying to figure out the precise shape of a massive orbit from just a handful of measurements that are very close together along that orbit's total path length. The tiniest measurement errors, at the level of noise, significantly affect the results of the calculation. And it's not a simple two-body problem. The passage of a comet through the inner system alters its orbit, which in the case of a long period comet might alter its period by thousands of years. That can be modeled using numerical integration, but you run into limitations from the finite numerical precision of the methods.
The difference between Oumuamua and all the other near-hyperbolic comets we've seen is that their eccentricities were very different. All near-hyperbolic comets we've observed have had e very close to one, numbers like 1.01. Oumuamua's eccentricity was 1.2. That's well outside the measurement error range and is certainly hyperbolic, which means it must have originated outside our system. And the nearness to one of all the other comets strongly argues that they came from inside the system, given how nearly matched they are to a solar orbit.
[quote=JohnD post_id=286692 time=1540028644 user_id=100329]
[quote="Chris Peterson" post_id=211134 time=1381880951 user_id=117706]
[quote="Anthony Barreiro"]I've had the impression that because Comet ISON's orbit is hyperbolic, this will be it's one and only pass through the inner solar system. Have I been laboring under a misapprehension?[/quote]
Yes, you have been somewhat under a misapprehension. In fact, most comets with hyperbolic orbits are actually periodic (although all long period comets which haven't been observed before are called non-periodic). So-called hyperbolic orbit comets typically have eccentricities only very slightly greater than one, and those eccentricities drop below one again once they are some distance from the Sun. The result is a comet with a period of hundreds of thousands or more years (there's no way to reliably determine the period of such comets), but definitely an orbit that will remain closed around the Sun. Only a very few comets have been observed on obvious ejection orbits.
C/2012 S1 is almost certainly periodic.
[/quote]
Revival of this thread, to ask about the difference between "non-periodic" comets, AKA never seen before, comets with very long orbits, and Oumuamua. Chris, you said above that some long orbit comets cannot have their period determined, but that some have been on ejection orbits. That was five years ago.
Oumuamua was unique in that it was clearly rocky, with little or no tail but was announced as definitely coming from outside the Solar System and heading away, never to return. Has orbit calculation improved since then, to allow such confidence? Or could previous icy, tailed comets have been extra-solar?
John
[/quote]
Orbit calculation methods haven't changed, and won't. The problem is that you're trying to figure out the precise shape of a massive orbit from just a handful of measurements that are very close together along that orbit's total path length. The tiniest measurement errors, at the level of noise, significantly affect the results of the calculation. And it's not a simple two-body problem. The passage of a comet through the inner system alters its orbit, which in the case of a long period comet might alter its period by thousands of years. That can be modeled using numerical integration, but you run into limitations from the finite numerical precision of the methods.
The difference between Oumuamua and all the other near-hyperbolic comets we've seen is that their eccentricities were very different. All near-hyperbolic comets we've observed have had e very close to one, numbers like 1.01. Oumuamua's eccentricity was 1.2. That's well outside the measurement error range and is certainly hyperbolic, which means it must have originated outside our system. And the nearness to one of all the other comets strongly argues that they came from inside the system, given how nearly matched they are to a solar orbit.