Uranus' closest approach to earth and its interval

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Discussion Overview

The discussion revolves around calculating the interval between Earth and Uranus' closest approach, exploring the complexities involved in such calculations, including orbital eccentricities and the timing of oppositions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks a website with information on the interval between Earth and Uranus' closest approach, expressing uncertainty about how to begin calculations.
  • Another participant suggests integrating the apsides of Uranus and Earth to find the interval.
  • Some participants discuss the accuracy of the calculations, noting that the interval could vary significantly based on factors like opposition timing (approximately one year), Uranus' orbital eccentricity (around 84 years), or the closest possible approach considering both planets' eccentricities, which could extend to about 100,000 years.
  • A participant mentions that the calculations are analogous to determining when the hands of a clock meet, prompting further investigation under the assumption of circular orbits.
  • One participant references the Jet Propulsion Laboratory's ephemerides for tracking solar system bodies and notes that the closest approach of Uranus has already occurred for the year on October 7.

Areas of Agreement / Disagreement

Participants express varying views on the methods and accuracy of calculating the closest approach, indicating that no consensus exists on a single approach or timeframe.

Contextual Notes

The discussion highlights the complexity of orbital mechanics and the need for precision in calculations, with various assumptions and factors influencing the results.

BOAS
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Hello,

I am looking for a website that contains information such as the interval between Earth and uranus' closest approach. I can't seem to find exactly what I am looking for, so I was wondering how difficult it would be to calculate this.

I am at a loss where to start though...

Any pointers or info would be greatly appreciated,

thanks!
 
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I suspect that you will have to integrate the apsides Uranus and Earth.
 
Depends on how accurate you want to be.

Do you want to know the interval between the time Uranus is in opposition(which would be close to a year)?
Do you want to take into account Uranus' rather siginificant orbital eccentricity(that'll come out to something close to 84 years)?
Or, maybe you want to know the closest possible approach(within some error bars), taking into account both planets' eccentricities? Then you'd have to include apsidal precession, and the result would be in the order of 100000 years.

All the calculations are similar to that of calculating the interval between when two hands of a clock meet.

What's the level of precision you're looking for?
 
Bandersnatch said:
Depends on how accurate you want to be.

Do you want to know the interval between the time Uranus is in opposition(which would be close to a year)?
Do you want to take into account Uranus' rather siginificant orbital eccentricity(that'll come out to something close to 84 years)?
Or, maybe you want to know the closest possible approach(within some error bars), taking into account both planets' eccentricities? Then you'd have to include apsidal precession, and the result would be in the order of 100000 years.

All the calculations are similar to that of calculating the interval between when two hands of a clock meet.

What's the level of precision you're looking for?
The first one - Actually, what you have said makes perfect sense. The clock hand analogy is very useful, and I think I can investigate this further, under the assumption of circular orbits.

Thanks.
 
BOAS said:
Hello,

I am looking for a website that contains information such as the interval between Earth and uranus' closest approach. I can't seem to find exactly what I am looking for, so I was wondering how difficult it would be to calculate this.

I am at a loss where to start though...

Any pointers or info would be greatly appreciated,

thanks!

Unless you're some kind of orbital genius, it's probably not recommended.

Organizations like the Jet Propulsion Laboratory keep tabs on the orbits of various bodies in the solar system by producing ephemerides (singular, ephemeris). The CPA of Uranus apparently has already occurred for this year (Oct. 7):

http://in-the-sky.org/news.php?id=20141007_13_100
 

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