Gravity: Attraction of Two Particles vs. Two Objects

  • Thread starter Thread starter imi
  • Start date Start date
  • Tags Tags
    Gravity
Click For Summary
SUMMARY

The discussion centers on simplifying the theory of gravity to the attraction between two equal mass particles rather than two massive objects. It emphasizes that gravitational attraction must consider the relative positions of all particles within an object for accurate calculations. The computation of gravitational attraction involves integrals that account for infinitesimal mass elements, particularly for bodies with non-uniform mass distributions. The GRACE mission is highlighted as a tool for mapping Earth's gravity field, revealing its uneven distribution due to mass variations.

PREREQUISITES
  • Understanding of gravitational theory and its fundamental principles
  • Familiarity with integral calculus as applied to physics
  • Knowledge of the GRACE mission and its role in geophysical studies
  • Basic concepts of mass distribution and its effects on gravitational fields
NEXT STEPS
  • Research the mathematical foundations of gravitational attraction using integral calculus
  • Explore the GRACE mission's findings on Earth's gravity and mass distribution
  • Study the implications of gravitational forces in non-uniform mass distributions
  • Investigate the role of gravity Probe B in testing general relativity
USEFUL FOR

Physicists, geophysicists, and students interested in gravitational theory, as well as researchers studying Earth's gravitational field and its variations.

imi
Messages
5
Reaction score
0
Can the theory of gravity be simplified to the attraction of two particles (always of equal mass) rather than the attraction of two massive objects?

If so would the relationship of gravitational attraction have to be calculated according to the relative position of all particles in an object in order to be completely accurate?
 
Physics news on Phys.org
Seems that way if gravitational attraction is a function of how much mass is present. That's why the center of gravity is different for differently shaped objects.
 
In general the computation of gravitation attraction between 2 arbitrary bodies takes the form of an integral, where each body is subdivided into infinitesimal mass elements. This approach can correctly compute the attraction between bodies which do not have uniform mass distributions.
 
gravity is a basic attraction between two particles. It is the weakes fore of the 4 elementary forces in the universe; gravitational, electromagnetic, weak nuclear and stong nuclear. It is actually millions of times weaker than the other three, but since matter is made up od soo many billions and billions of particles, the gravitational forces add up and dominate in the large scale world.
 
Nenad said:
gravity is a basic attraction between two particles. It is the weakes fore of the 4 elementary forces in the universe; gravitational, electromagnetic, weak nuclear and stong nuclear. It is actually millions of times weaker than the other three, but since matter is made up od soo many billions and billions of particles, the gravitational forces add up and dominate in the large scale world.

Is there a way to measure the "continuity" of the strength and weakness of gravity topologically?

I have placed GRACE here in posts for consideration to reveal the topological features of earth

http://www.csr.utexas.edu/grace/gallery/gravity/03_07_GRACE2.jpg
These detailed geophysical features are being detected by GRACE with no surface gravity measurements. (July 21, 2003)

http://www.csr.utexas.edu/grace/gallery/animations/world_gravity/

Due to an uneven distribution of mass inside the Earth, the Earth's gravity field is not uniform - that is, it has "lumps". By far the largest is a flattening at the poles, called the Earth's oblateness, but in this model we've greatly exaggerated the scale so that many smaller features can be seen. The GRACE Mission will map out the precise location and size of these lumps, enabling greater understanding of the structure of the Earth. Additionally, GRACE will monitor the mass and location of water as it moves around on the surface of the Earth, cycling between the land, oceans, and polar ice caps.


I have also place information in terms of gravity Probe B in other posts. Sci physics strings as well
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 14 ·
Replies
14
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 32 ·
2
Replies
32
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K