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0 votes
0 answers
76 views

Two-body problem and motion in a central field

If we consider motion of a body in a central (gravitational) field the equation of motion would be $$-\frac{\gamma m_1 m_2}{r^2}\frac{\vec{r}}{r}=m_1 \vec{r}^{\prime\prime}$$ where the origin of ...
Motoko's user avatar
  • 3
0 votes
2 answers
32 views

Times of free-fall in different inertial reference frames in classical physics

Imagine that a ball is thrown directly down at a rate of 20 m/s from a height of 100m in Earth's gravitational field. If we were to calculate the time it takes to fall we could use the kinematic ...
Anandatheertha Bapu's user avatar
1 vote
1 answer
378 views

Why do the 2 planets in a two-planet system orbit around the center of mass?

When reading the Feynman Lectures (chapter 7, volume 1), Feynman was explaining the formation of tides on the Earth and said the following: The moon does not just go around the earth, the earth and ...
prado5083's user avatar
-1 votes
1 answer
63 views

In this world of pseudo forces what is real?

I was learning concept of pseudo force and encountered a problem which I found pretty interesting, I am told that the surface in contact of wedge and box having mass $m$ is frictionless and I am ...
user305162's user avatar
0 votes
1 answer
57 views

Are Newton's equations accurate on Earth when we ignore fictitious forces?

I am a high school student and I just got to know about inertial and non-inertial frames of reference. And since the earth is actually accelerating around the sun, and the sun is also accelerating, ...
Shashwat's user avatar
0 votes
2 answers
96 views

Particle in a gravitational field moving at constant speed in some inertial frame

While working on an unrelated problem I found an interesting result which I presume must already be known, but I cannot find any reference to it. It is the following: Consider a small particle P ...
mlerma54's user avatar
  • 111
1 vote
1 answer
71 views

Gravitational potential energy with both bodies moving [closed]

When deducing the formula for the gravitational potential energy of one body in relation to the gravitational force of another body, my teacher assumed that one body was standing still. I tried ...
victormd's user avatar
0 votes
1 answer
249 views

Motion of bodies released form rest in a freely falling cabin

In a paper I was solving, there was a question stated as such: A narrow but tall cabin is falling freely near the Earth's surface. Inside the cabin, two small stones A and B are released from rest(...
Rutwik's user avatar
  • 113
1 vote
1 answer
110 views

Finding the frame of reference in which Newton's law of gravitation applies

I've always wondered, in which frame of reference does Newton's law $$ \boldsymbol{g} = -\frac{GM}{r^2} \widehat{\boldsymbol{r}} $$ actually apply? In general it can't be the one in which the the ...
Alex Zeffertt's user avatar
3 votes
2 answers
2k views

Would the Foucault pendulum experiment work on a rotating flat Earth?

If the Earth were to be flat, but still rotating with a constant angular frequency, would the Foucault pendulum still show it's precessing motion? The angular velocity of the precession can be ...
Spurious Eigenstate's user avatar
2 votes
1 answer
330 views

Is an explanation of 'effect of Earth's rotation on $g$' possible from an inertial reference frame?

Edit : Added a picture for better understanding of my querry. All the texts I have studied has used an non-inertial frame to explain the phenomenon. But every time I see something explained with ...
Mockingbird's user avatar
  • 1,228
28 votes
4 answers
7k views

Are planets actually moving in elliptical orbits around the Sun or do they move in circular orbits around their center of mass?

In every derivation of Kepler's Laws that I have seen, we assume that the sun is stationary. However, in other places I have read that celestial bodies move about their barycentre (center of mass). So ...
Archimedesprinciple's user avatar
1 vote
3 answers
770 views

Fundamental paradox with Newton's Law of Gravity?

This is my first post here, but I've been struggling with this problem in my head since I studied physics at school when I was 14 (30 years ago!). There seems to be a fundamental paradox with Newton'...
Kelvin's user avatar
  • 131
3 votes
1 answer
2k views

Gravity vs inertia

As stated according to Newton laws of gravity, every object with mass attracts all other object with a force which produces acceleration. Basically there are several forces in the universe which ...
Murtuza Vadharia's user avatar
0 votes
1 answer
546 views

Defining the star as the ellipse focus rather than the barycenter, what does the other focus do? [duplicate]

There are a lot of images and animations on the internet depicting two bodies orbiting around their common barycenter. The barycenter is defined as the (let's say right) focus of the ellipse. If we ...
ben's user avatar
  • 1,517