Need help converting values regarding Jupiter's mass, and moons.

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Discussion Overview

The discussion revolves around the conversion of values related to one of Jupiter's moons, specifically the period (P) in days and the height of peaks above zero, into years, astronomical units (AU), and kilometers (KM). The scope includes mathematical reasoning and technical clarification regarding unit conversions in an astronomical context.

Discussion Character

  • Mathematical reasoning
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant presents a problem involving the conversion of a period of 7 days and a height value of 4 into years and AU, and then into kilometers.
  • Another participant questions the necessity of converting to years and AU since the data is already in Julian days (JD) and suggests using the provided conversion factor to obtain kilometers directly.
  • Concerns are raised about the ambiguity of the term "height of the peaks above zero" and the units associated with the value of 4, prompting a request for clarification on what this value represents.
  • There is mention of different definitions of a year, specifically the Julian year and Gaussian year, which could affect the conversion process.
  • A participant provides the current definition of an AU and notes the precision of its value, indicating that the choice of AU value may depend on the context of the discussion.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the clarity of the original question and the specific units involved. There is no consensus on the necessity or method of conversion, and multiple viewpoints on the interpretation of the data are presented.

Contextual Notes

Limitations include unclear definitions of terms used in the original question, such as "height of the peaks above zero" and the units associated with the value of 4. The discussion also highlights potential variations in the definition of a year that could influence the conversion process.

Who May Find This Useful

This discussion may be useful for individuals interested in astronomical data analysis, unit conversions in physics, or those studying the characteristics of celestial bodies and their orbits.

nukeman
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Here is my problem. I have charted out the data points of one of Jupiter's moons, and have concluded for this example, a value of: P(in days) of 7, and a (height of the peaks above zero) of 4

Now, here is what I am having trouble doing:

"Convert P and a to years and AU. Then, convert a to KM"

Can anyone help me with this?

I know that one J.D = 0.00096 = 142,984 km

?
 
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Anyone? :)

Thanks

nukeman said:
Here is my problem. I have charted out the data points of one of Jupiter's moons, and have concluded for this example, a value of: P(in days) of 7, and a (height of the peaks above zero) of 4

Now, here is what I am having trouble doing:

"Convert P and a to years and AU. Then, convert a to KM"

Can anyone help me with this?

I know that one J.D = 0.00096 = 142,984 km

?
 
nukeman said:
Anyone? :)

Thanks

Strange question. Convert to years and AU, then to km. Why? You already have it in JD. So multiply by that conversion factor you've quoted to get km. Though diameters are a bit odd, since it's usually in radii as that's what plugs into the equations.

As for conversion to 'years', which year do they mean? A standard Julian year is 365.25 days, but there's several other years that get used to, such as the Gaussian.

An AU is presently defined as 149,597,870.7 km. You'll see 149,597,870.691 km get quoted, but that's a bit too precise for the error bars. Hopefully someone has seen fit to tell you what AU value to use.
 
Your question is not very clear... What does 'height of the peaks above zero' mean? What is the '4' ? Inches, miles, lightyears, cubits? JD=jupiter's diameter? Is the orbital radius of this moon 4 * JD ?
 

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