Spin of planets, bigger means faster?

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Discussion Overview

The discussion revolves around the relationship between the size of planets and their rotational speeds. Participants explore whether larger planets spin faster than smaller ones, considering various factors such as angular momentum, planet formation, and external influences on rotation.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question if larger planets spin faster, suggesting there may not be a direct relationship.
  • Others argue that understanding planet formation is crucial, with one participant asserting that larger planets formed from larger clouds of material tend to have faster spins due to conservation of angular momentum.
  • A participant presents a personal hypothesis that smaller planets might rotate more rapidly than larger ones under identical conditions, likening it to a figure skater's spin.
  • Data on the rotational speeds of various planets is provided, showing that despite expectations, larger planets like Jupiter and Saturn have high rotational speeds, while smaller planets like Mercury have much slower spins due to tidal friction and other factors.
  • Another participant introduces a mathematical approach to comparing spin in celestial bodies, discussing angular momentum and mass in geometric units, noting that while this is straightforward for stars, it is more complex for planets.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between planet size and rotational speed, with no consensus reached. Some believe larger planets spin faster due to formation processes, while others maintain that smaller planets could rotate more quickly under certain conditions.

Contextual Notes

Limitations include the dependence on definitions of size and speed, the influence of external factors like tidal forces, and the complexity of angular momentum calculations for planets compared to stars.

valdar
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Quick question, do bigger planet spin faster?
 
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Look up the data.
 
valdar said:
Quick question, do bigger planet spin faster?

In general, I don't think there's any relation.
 
You must look at planet formation to understand this issue. The short answer is yes.
 
I always thought that the smaller planets would rotate more rapidly than larger ones, under identical conditions of course. Much like a figure skater draws in his or her figure and seemingly rotates faster. However, I may be (and more than likely) am wrong. If someone could address this I would be interested to learn
 
Planet Speed at equator (km/h)
Mercury 10.9
Venus 6.5
Earth 1670
Mars 867
Jupiter 45600
Saturn 37000
Uranus 10900
Neptune 8460
Pluto 47

You would expect small planets to spin faster - from conservation of angular momentum

But larger planets were formed from larger clouds of stuff.
As stuff contracted, then because of conservation of angular momentum it speeded up, the bigger/faster the original cloud the faster it ended up. Of course if you took the existing planets and made each of them smaller - they would speed up even more.

Then there are effects that have happened since. Mercury's rotation is slowed by tidal friction with the sun so has a very slow speed (long day), the Earth's is slowed a little by friction with the moon.
Uranus probably got hit by something in the past - which is why it has a weird axis tilt.
Mars might also have been affected by whatever caused the asteroid belt.
 
mgb_phys said:
Planet Speed at equator (km/h)
Mercury 10.9
Venus 6.5
Earth 1670
Mars 867
Jupiter 45600
Saturn 37000
Uranus 10900
Neptune 8460
Pluto 47

You would expect small planets to spin faster - from conservation of angular momentum

But larger planets were formed from larger clouds of stuff.
As stuff contracted, then because of conservation of angular momentum it speeded up, the bigger/faster the original cloud the faster it ended up. Of course if you took the existing planets and made each of them smaller - they would speed up even more.

Then there are effects that have happened since. Mercury's rotation is slowed by tidal friction with the sun so has a very slow speed (long day), the Earth's is slowed a little by friction with the moon.
Uranus probably got hit by something in the past - which is why it has a weird axis tilt.
Mars might also have been affected by whatever caused the asteroid belt.


Very interesting. Thank you for providing this
 
A good way of comparing spin in stars is to compare angular momentum and mass in geometric units where-

a=J/mc

M=Gm/c^2

where

J=vmr\,k

where a is the spin parameter in metres, v is the equatorial rotation velocity, m is mass, r is the equatorial radius and k is the moment of inertia coefficient (0.4 for an idealized sphere of uniform density).

a/M produces a unitless figure between 0 and 1, the higher the number, the higher the spin. For the Sun (k=0.06), a/M=~0.188, for a 2.2 sol neutron star with a frequency of 1500 Hz (k=0.35), a/M=~0.488.

This doesn't appear so straightforward with planets as M works out considerably smaller than a but there should still be a way of comparing spin geometrically.EDIT:
In the case of planets, you could probably get away with just considering the results of a which is considered to be the amount of angular momentum per unit of mass (sometimes expressed as J/M). In this case, Jupiter is the clear winner and Mercury has the least 'spin' per unit of mass.
 
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