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2 votes
2 answers
2k views

How to calculate eccentricity of a planet via energy?

The relative distance of a planet moving around the sun is found to be: $$r(\varphi) = \dfrac{\kappa}{1+\varepsilon\,\cos(\varphi)} \quad \text{where} \quad \kappa = \dfrac{L^2}{G\,{m_p}^2\,m_s} \quad ...
Leon's user avatar
  • 462
6 votes
1 answer
415 views

Why is general relativity in (2+1) dimensions different from cylindrical systems in (3+1) dimensional GR?

The gravitational potential $\Phi$ of an infinite rod in newtonian gravity is $\Phi \sim \ln(r)$. This is the same as the gravitational potential of a point charge in two-dimensional Newtonian gravity ...
asmaier's user avatar
  • 9,910
7 votes
2 answers
1k views

What is the physical reason for why gravitational potential (or electrical potential) due to two masses at a point can simply be added algebraically?

The simple explanation that textbooks and the internet say is that "gravitional potential is a scalar quantity hence can be added algebraically". However, I'm not sure if it is that simple. Take for ...
Bøbby Leung's user avatar
-1 votes
2 answers
2k views

Potential at Center of Earth

If using the surface of the earth as a reference point how much work is needed for gravity to pull me to the center. Is it negative infinity or am I wrong? Also is a single value of potential ...
user45815's user avatar
2 votes
0 answers
389 views

General potential of rotating system

I'm new here at the physics site, and not really that deep into the area of which i'm going to ask a question about now. Therefore please feel free to ask clarifying questions. I'm trying to deal ...
user147163's user avatar
2 votes
1 answer
365 views

Gravitational potential energy defined as the work done on a mass

Our physics sir made us write that gravitational potential energy is the work done in bringing a mass from infinity to a point without acceleration, but I am confused because if acceleration is $0$ it ...
imposter's user avatar
  • 1,200
1 vote
1 answer
283 views

Retarded potential fields and gravity simulations?

Dear physics stack exchange, I've been trying to consider exactly how to program a gravitational simulation with time-retarded gravitational potential fields. Its proven difficult given each time one ...
The victorious truther's user avatar
0 votes
3 answers
596 views

Defining gravitational potential

I recently came across the definition of gravitational potential where ..... Suppose a particle of mass $m$ is taken from a point $A$ to $B$. Let $U(A)$ and $U(B)$ denote the gravitational ...
Freelancer's user avatar
-2 votes
1 answer
13k views

Acceleration due to gravity: what's the derivation? [closed]

Modelling the Earth as a symmetric, spherical body (and by using the law of gravitation), we come up with the equation $$w = F_g = \frac{Gm_Em}{R_E^2}$$ How do we arrive to the equation to get the ...
weirdpanda's user avatar