Is the Gravitational Acceleration on Jupiter Different from Calculated Values?

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Discussion Overview

The discussion revolves around the calculation of gravitational acceleration (g) on Jupiter, specifically comparing values obtained through a computer program with those found in literature. The scope includes theoretical calculations and conceptual clarifications regarding the nature of Jupiter's surface.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant calculated g on Jupiter as 24.778 using specific values for mass and radius but found discrepancies with published values closer to 28.
  • Another participant clarified that the calculated value corresponds to the equatorial surface of Jupiter, noting that planets are not perfectly spherical and that the mean radius is smaller than the equatorial radius.
  • A further comment emphasized that the calculated g does not represent a traditional surface like that of Earth, as Jupiter lacks a solid surface, and the value pertains to the gaseous layer.
  • There is an acknowledgment of the uncertainty regarding the existence and characteristics of a solid surface on Jupiter.

Areas of Agreement / Disagreement

Participants generally agree on the discrepancies in gravitational acceleration values due to the differences in radius used, but there is no consensus on the nature of Jupiter's surface or the implications of the calculated values.

Contextual Notes

The discussion highlights limitations in the data regarding Jupiter's solid surface and the dependence on the definitions of radius used in calculations.

scotty_le_b
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I was wondering what would g equal on Jupiter if you could stand on its surface? I wrote a computer programme (my 1st one) to work g out anywhere and when i plugged in the numbers for Earth it gave me 9.799 which is correct and for Jupiter it gave me 24.778 but when I looked it up I kept finding values nearer 28. I had the mass of Jupiter as 1.8987e27 and the radius of Jupiter as 7.1492e7. I had already set G to be 6.67e-11 and the programme uses the formula g=(G*m)/r^2. Have I done anything wrong or could it just be different values for the mass of Jupiter and its radius?

Thanks
p.s. I realize that you could never stand on the surface of Jupiter :)
 
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There is nothing wrong with your values, just that what you have obtained is the g at the equatorial surface of Jupiter (7.1492e7 is the equatorial radius). Planets are not perfectly spherical, they are slightly flattened at the poles (and thus 'widest' at the equator). The larger values of g that you have found are likely to have been calculated using the mean radius of Jupiter instead, which is smaller than the equatorial radius.

The disparity is less significant on Earth due to its smaller mass.
 
Oh that makes sense.
Thank-You
 
And that is not g for the surface of Jupiter, at least not in the same sense as the surface of the Earth, something that you can stand on. That is the g force you would feel if you were in a gondola under a balloon floating at the gaseous surface of Jupiter. Now somewhere there is a solid surface of Jupiter, but there is not enough data to say how big it is or what it is. At least to my knowledge. Hmm. Google Search time.
 

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