Observation arc

time between earliest and latest observations of a Solar System body like an asteroid or comet

An observation arc (or arc length) of a Solar System body is the amount of time between its earliest and latest observations. It is used for finding its path. It is usually given in days or years. It is used asteroids and comets to find where they go.

Short arcs

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A very short arc makes an inaccurate result. Sometimes, the original amount of time is short to figure out if something orbits Earth or the asteroid belt.

For example, 2004 PR107 was thought to be a trans-Neptunian dwarf planet after an arc-length of one day. Now it is known to be in the 1 km main-belt asteroid.

2004 BX159 was thought to be a Mars-crossing asteroid that could be a threat to Earth, but was later found to be another main-belt asteroid.

An observation arc less than 30 days can make it difficult to figure out an Inner Solar System object more than a year after the last observation. It can make the planet lost. Trans-Neptunian objects with observation arcs less than a few years usually have bad results.[1]

As a general rule objects discovered when they are currently farther from the Sun will have greater uncertainties in their initial orbits if the observation arcs are short.

2018 AG37 was discovered to be over 100 AUs from the Sun and was observed 9 times over 2 years.[2] It needs an arc of many years, however to figure out the furthest distance from the sun.

1999 DP8 had 4 observations in 1 day.[3] It has error bars that are so big that don't really mean anything because. When it was first discovered, 1999 DP8 is estimated to have been 52±1500 AU from Earth.[3]

It took an observation arc of about 200 days to confirm that there was an impact on Mars by Oort cloud comet C/2013 A1 (Siding Spring).[4]

Interstellar objects

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Interstellar objects usually need an arc of 2–3 weeks with hundreds of observations to confirm that it has a hyperbolic excess velocity (interstellar speed) of more than a few km/s.

Earth approaches

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Uncertainty in Earth approach distance by comets currently further than Uranus
that have not been observed in the last ~20 years
Comet Observation
arc
Number of
observations
Uncertainty
parameter
Earth
approach date
Uncertainty in
distance from Earth
Reference
Comet Swift–Tuttle 257 years 652 0 2126-Aug-05 ±10 thousand km data
C/2001 OG108 0.9 years 886 2 2147-Mar-23 ±2 million km data
C/1991 L3 (Levy) 1.6 years 125 3 2094-Aug-01 ±15 million km data

The Comet Swift–Tuttle has a 257-year observation arc. It's closest approach to Earth on 5 August 2126 is about ±10 thousand km.[5] With an observation arc of ~1 year, the uncertainty in C/2001 OG108's closest approach to Earth on 23 March 2147 is about ±2 million km.[6]

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References

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  1. TNOs really do require patience; 2-3 years is only just enough to say anything about the orbit parameters – Astronomer Michele Bannister (4 April 2018)
  2. JPL Small-Body Database Browser for 2018 AG37
  3. 3.0 3.1 JPL Small-Body Database Browser for 1999 DP8. Discovery date Ephemeris table setting: #39. Range & range-rate = 6.8E+11 / AU / 3-sigma = 1500 AU
  4. "How to determine the orbit of a comet?". esa. 2014-03-07. Retrieved 2022-01-08. It took 44 days of observation to achieve even a semblance of an orbit determination – one that was still all over the place
  5. JPL Small-Body Database Browser for Comet Swift–Tuttle
  6. JPL Small-Body Database Browser for C/2001 OG108
    (Close approach uncertainty: (MaxDist of 0.434) – (MinDist of 0.408) * 149597870.7 = 3.9 million km)

Other websites

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