Unraveling the Mystery of Hyperbolic Trajectories

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Discussion Overview

The discussion revolves around the existence and characteristics of hyperbolic trajectories, particularly in the context of interstellar objects and their origins. Participants explore the implications of hyperbolic orbits, the potential sources of such objects, and the observational challenges associated with them.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question why no material from other star systems has been discovered if true hyperbolic trajectories exist.
  • Others suggest that the lack of close-up studies of long-period comets may contribute to this absence of evidence.
  • A participant notes that many objects in hyperbolic orbits may actually originate from the Kuiper Belt or Oort Cloud, referencing Oort's observations from around 1950 regarding comet orbits.
  • One participant emphasizes that a true hyperbolic trajectory implies a one-time pass, which complicates the definition of an orbit.
  • Another participant raises the possibility that Alpha Centauri has its own Oort Cloud and questions the distinguishing characteristics of material from Solar and Alpha Centauri Oort clouds.
  • A technical calculation is presented regarding the threshold velocity for a hyperbolic trajectory from Alpha Centauri to the Solar system, with a specific value derived.
  • Participants inquire about the average escaping velocity for a Solar hyperbolic trajectory.

Areas of Agreement / Disagreement

Participants express differing views on the implications of hyperbolic trajectories and the origins of interstellar material. There is no consensus on the existence of true hyperbolic trajectories or their sources, and the discussion remains unresolved.

Contextual Notes

Some claims depend on observational limitations, such as the lack of studies on long-period comets, and there are unresolved questions regarding the definitions and characteristics of hyperbolic orbits.

Orion1
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If true hyperbolic trajectories really exist, then why has there not been any material discovered as originating from another star system?

 
Last edited:
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lack of close-up study of long-period comets
 
A possibility, however, the probability is very high that objects making solar drive-by's in hyberbolic orbits originate in the Kuiper Belt or Oort Cloud. Around 1950, Oort noticed that no comet had been observed with an orbit suggesting it had came from interstellar space. He also noticed a strong tendency for long period comet orbits to have an aphelion distance of about 50,000 AU. There is nothing particularly special about a hyperbolic orbit, it is merely a matter of velocity.
 
Orion1 said:
If true hyperbolic orbits really exist, then why has there not been any material discovered as originating from another star system?
1. If it is truly hyperbolic then it is a one-time pass, which would not actually be an "orbit".

2. Time, just time.
 
Solar Centaurus...


If true hyperbolic trajectories all originate from the 'Oort Clouds' of any given star system, and given that interstellar material from another star system must also originate from a hyberbolic trajectory from the 'Oort Cloud' of that star system, then what are the possibilites that the nearest star system, Alpha Centauri, also has an 'Oort cloud'?

What would be the distinguishing characteristics between Solar and Alpha Centauri Oort cloud material?

Threshold velocity for hyperbolic trajectory reaching Sol from Alpha Centauri:
[tex]dD = 4.124*10^{16} m[/tex] - Alpha Centauri range
[tex]dt = 1.466*10^{17} s[/tex] - Sol star system age
[tex]dv = \frac{dD}{dt}[/tex]
[tex]dv = \frac{4.124*10^{16} m}{1.466*10^{17} s}[/tex]
[tex]\boxed{dv = .281 m*s^{-1}}[/tex]

What is the value for an average escaping velocity for a Solar hyperbolic trajectory?

 
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