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4 votes
4 answers
343 views

What is the relationship between gravitation, centripetal and centrifugal force on the Earth?

I'm trying to analyze a situation wherein a ship is moving across the surface of the earth. I am trying to analyze this situation in a reference frame that is rotating with the earth (NED frame). I am ...
2 votes
2 answers
240 views

Tidal forces between Moon and Earth

I started studying about gravitation recently and I came across the fact that when finding the gravitational force between the earth and some point mass in space, we can consider the mass of the earth ...
1 vote
1 answer
337 views

Gravitation in a Toroidal Planet

I recently took interest in toroidal planets, not because they necessarily exist, but rather due to a more practical result (it can be easily represented with a rectangle). This got me curious about ...
15 votes
2 answers
5k views

Toroidal Planets

I have read online in numerous places about the possible existence of toroidal planets, and I most people seem to believe that they could exist, but they also have no evidence to support this claim. I ...
1 vote
2 answers
78 views

The topology of planets [duplicate]

Just a curiosity: Let $g \in \mathbb{Z}_{>0}$. Is it possible for a planet of topological genus $g$ to exist? For example, is there any contradiction (from the point of view of physics) in assuming ...
0 votes
2 answers
82 views

Why are planets denser as you approach the center?

Gauss' law says that the net electric force inside a hollow, uniform, not rotating sphere is zero. Since gravity is also proportional to the inverse square of the distance, I assume this should apply ...
1 vote
4 answers
160 views

Gravitational attraction between two bodies

While the gravitational force between two bodies is directly proportional to their masses, and inversely proportional to the distance between them is understandable / seems logical, how did Newton ...
0 votes
1 answer
21 views

Can we treat the entire mass of the spheroid as being concentrated at its center?

I know that to find the gravitational force between two objects, if either of them is a sphere, we can assume its mass to be concentrated at its center and use the formula for gravitational forces for ...
0 votes
2 answers
65 views

How symmetric do we know the gravitation field to be?

Currently, the only ways to measure gravity is on quite large scale. So these experiments measure gravity averaged between vast systems of particles. Of course, such an averaging results¹⁾ in a ...
8 votes
5 answers
290 views

What is the gravity in the center of Earth?

Let's suppose the earth is a perfect sphere and let's ignore its rotation and movement. What would happen if I would be in the center of the earth? Would the gravity be zero in any direction so I ...
5 votes
2 answers
289 views

Helium in Uranus atmosphere

I read that in 1986 Voyager 2 measured the composition of Uranus' atmosphere, which turned out to be composed of $85 \%$ hydrogen and $15 \%$ helium. It's not clear to me how this relevant amount of ...
0 votes
2 answers
214 views

Simplest expression for gravitational flattening of Earth-like planet, from zero rotation rate to Earth rate, to within 10 percent error

Richard Fitzpatrick discusses the rotational flattening of a celestial body. A model that assumes homogenous density arrives at a difference between the Earth's equatorial and polar radii of 27.5 ...
1 vote
2 answers
98 views

How to calculate equilibrium height of tidal bulge?

I am trying to model the shape of the tidal bulge caused by the moon. I asked GPT for a formula and it gave me equilibrium tidal bulge height as $$\frac{2 R_{earth} G M_{moon}}{3 r^3 \Delta g}$$ and ...
0 votes
4 answers
110 views

What is the real shape of Earth? [duplicate]

As it now widely dicussed and accepted that Earth is not a 'perfectly round sphere/ball but more a 'oblate spheroid' why then do NASA have 'photographs' of a ROUND Earth?
4 votes
2 answers
326 views

Exact analytical solution for the surface gravity of an oblate spheroid

I would like to know if an exact solution for the surface gravity force components of an oblate spheroid has been published and if not can anyone derive it here? Assume an ideal rigid oblate sphere of ...

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