Is the Sun's Gravitational Effect Stronger at the Equator than at the Poles?

  • Context: Undergrad 
  • Thread starter Thread starter Hookemhorn21
  • Start date Start date
  • Tags Tags
    Gravitational
Click For Summary
SUMMARY

The Sun's gravitational effect is indeed stronger at the equator than at the poles due to its oblate spheroid shape, which results in more mass being present at the equator. This phenomenon is attributed to the Sun's rotation, which creates a centripetal force that slightly counteracts gravitational pull at the equator. The gravitational force difference is minimal, as the Sun's gravitational quadrupole moment (solar J2=10^-7) is significantly smaller than that of Earth (J2=0.00108), indicating that the Sun is nearly a perfect sphere. Consequently, while the gravitational effect varies, it is negligible in practical terms.

PREREQUISITES
  • Understanding of gravitational forces and their effects
  • Knowledge of oblate spheroid geometry
  • Familiarity with the concept of centripetal force
  • Basic grasp of gravitational quadrupole moments
NEXT STEPS
  • Research the implications of gravitational quadrupole moments in celestial mechanics
  • Explore the effects of solar oblateness on planetary orbits
  • Study the principles of centripetal force in rotating bodies
  • Investigate the differences in gravitational effects between Earth and other celestial bodies
USEFUL FOR

Astronomers, astrophysicists, and students of physics interested in gravitational effects and celestial mechanics will benefit from this discussion.

Hookemhorn21
Messages
4
Reaction score
0
Is the suns gravitational effect different on various parts of the sun? Is it stronger at the equator of the sun that it would be at the north or south poll? I did a search for this online and on here but did not find anything, so any help would be very much appreciated.
 
Astronomy news on Phys.org
The Sun turns on its axis much like the Earth does. This motion creates a sort of cetripetal counter force to the gravity of its mass. So like a spinning top, something at the poles would receive the full effect of the Sun’s gravity, whereas something at the equator would get a slight boost from the spin. The ESA uses this effect when space missions are launched from French Guiana near the Earth’s equator. Some huge stars actually bulge visibly at their equator.
If this is what you had in mind.
 
Last edited:
Yes thank you very much.
 
No problem, and welcome to the forum!
 
I interpreted this a little differently: "would an object in space, NOT on the sun, NOT rotating with it, such that a straight line from the center of sun to the object passes through a pole, have different gravitational force on it than an object in space such that a line from the center of the sun to the object passes through the equator of the sun?"

Since the rotating sun is be an "oblate" spheroid, wider at the equator than at the poles, there is more mass pulling on the object directly above the equator than on the object directly above the poles. The gravitational force will be greater on an object directly above the equator than on an object directly above the poles.
 
HallsofIvy said:
I interpreted this a little differently: "would an object in space, NOT on the sun, NOT rotating with it, such that a straight line from the center of sun to the object passes through a pole, have different gravitational force on it than an object in space such that a line from the center of the sun to the object passes through the equator of the sun?"

Since the rotating sun is be an "oblate" spheroid, wider at the equator than at the poles, there is more mass pulling on the object directly above the equator than on the object directly above the poles. The gravitational force will be greater on an object directly above the equator than on an object directly above the poles.


That makes sense, I looked into oblate spheroid's and found some good information about the effect of gravity at or around the equator vs the poles.
 
HallsofIvy said:
Since the rotating sun is be an "oblate" spheroid, wider at the equator than at the poles, there is more mass pulling on the object directly above the equator than on the object directly above the poles. The gravitational force will be greater on an object directly above the equator than on an object directly above the poles.
The effect is very, very small for a couple of reasons. Firstly, the influence of any gravitational body's quadrupole moment decreases as the inverse fourth power of the distance from the object. Secondly, the Sun's gravitational quadrupole moment (solar J2=10-7; c.f. Earth J2=0.00108) is very, very small because the Sun is very close to a perfect sphere (solar flatening=9×10-6); c.f. Earth flatening=0.0034). The end result is an extremely small effect. Think of it this way: The effect of the Sun's oblateness on Mercury's orbit is much, much smaller than the relativistic precession.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 49 ·
2
Replies
49
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
17
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 8 ·
Replies
8
Views
7K
  • · Replies 86 ·
3
Replies
86
Views
8K
  • · Replies 7 ·
Replies
7
Views
3K