# Questions tagged [orbital-motion]

The path a body takes while moving through space under the influence of the gravitational forces of other bodies

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### Two-body central force mechanics problem [closed]

Problem: A particle of mass $m$ is in an attractive central force field given by $f(r)=-km/r^4$, where $k$ is a positive constant and $r$ is the distance from the particle to the centre of force. ...
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### Magnetic moment produced by a charge in translatory motion (with no orbital motion)

A moving charge produces a magnetic field, while its magnetic moment is given by $$\mu = -g\frac{q}{2m}\textbf{L}$$ where, $g$ = gyromagnetic ratio, $q$ = charge, $m$ = mass, L = orbital angular ...
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### Can the Sun orbit the Earth?

You know how the earth orbits the sun because of gravity?...well if the sun were the right distance from the earth and it had the perfect tangential velocity...could it orbit the earth? In other words....
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### Elliptical orbits: Where have I made a mistake? [closed]

Sorry for not using latex, I am new. Assuming conservation of angular momentum and mechanical energy in an elliptical orbit, the sum of velocities at any two arbitrary points in orbit is constant? I ...
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### First Law of Motion, Gravitational acceleration and Law of Conservation of Energy [duplicate]

When an object leaves a celestial body (e.g. planet or star) with it's escape velocity, according to first law of motion, it will continue travel away from the body with the same speed (without having ...
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### Crystal electric field effects on spin-orbit coupling

Can someone highlight in general the correlation between crystal-electric-field, spin-orbit coupling in case of 3d7 ions under tetrahedral crystal field environment and their mutual effects on ...
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### What does the orbit of Pluto look like from the perspective of Neptune?

Pluto is locked in 3:2 resonance with Neptune, so that means that it should be possible to generate a simple looping animation that shows what movements Pluto would make given 2 orbits of Neptune. I ...
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### Apse divides central orbit into symmetrical portions

I am solving dynamics and unable to digest author's views regarding apse. Help from the community is needed. ...
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### Voyager distance

This very nice NASA page continuously updates Voyager 1 & 2 distance away. How is that distance calculated/determined?
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### Kepler's third law: the equations $\frac{T^2}{\langle r\rangle^3}=\text{constant}$ and $\frac{T^2}{a^3}=\text{constant}$ are equivalent?

Kepler's third law or periods affirms that: "The squares of the times that the planets use to cover their orbits are proportional to the cube of their average distances from the Sun". font ...
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### Really confused about orbital science

Okay let’s start straight away, What is Escape Velocity? Is it the speed required to get into orbit, or is it the speed required to escape the SOI (Sphere of Influence) of Earth completely? If it’s ...
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### Deriving the effective potential from the Schwarzschild metric

I am attempting to derive the effective potential for a test particle around a massive object from the Schwarzschild metric; however, an extra term has appeared in my solution compared to Wikipedia's, ...
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### Elliptical Orbits

Two astronauts are in the same circular orbit of radius R around the Earth, 180 deg apart. Astronaut A has two cheese sandwiches, while Astronaut B has none. How can A throw a cheese sandwich to B? In ...
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### Does Kepler's 3rd law of planetary motion violate the first postulate?

Consider a distant observer traveling at .866 c relative to the solar system along the line that is co-linear with the sun's axis of rotation. According to his/her wristwatch the observer measures the ...
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### Force and Velocity directions

When ever the force and velocity are in thesame direction(0°), an object speeds up. When ever the force and velocity are in opposite directions(180°), the object slows down. Also , when ever force ...
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### Why is the period of a geostationary satellite not exactly 1440 minutes?

When reading about Astra satellites on Wikipedia (https://en.wikipedia.org/wiki/Astra_1KR), I saw that the period of the Astra 1KR satellite, positioned at 19.2° E, is 1,436.1 minutes (source: NORAD ...
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### Derivation of Newton's law of gravitation [duplicate]

How did Newton get $F=\frac{Gm_1m_2}{r^2}$? What is intuition behind it? What kind of experiment or thought experiment can I do to derive this?
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### Estimating of the size of the Milky Way from the Sun's motion

I am trying to run a simple first-principles calculation to estimate the diameter of the Milky Way from what we know about the motion of the Sun around its center. In particular, from various online ...
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### Combination of electrostatic and magnetic centripetal forces to a moving charged body

If we have a positively charged fixed body at the center of the table and we leave a negatively charged body orbit around it the orbiting body will have a radius of orbit and orbital velocity. If we ...
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### In the earth-asteroid two-body problem, is it possible for the asteroid to be captured into an elliptical orbit around earth?

Consider an asteroid of mass $m$ rushing towards the earth. What is the mathematical condition under which the asteroid will be captured into an orbit around the earth (given that the asteroid and the ...
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### What about Newton's potential prevents singularities in the two-body problem?

The solutions to the gravitational two-body problem can be described by conic sections. In particular, two abstract point masses don't collapse into each other (that is, do not get arbitrarily close ...
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### How does $\frac{mv^2}{r} = \frac{GMm}{r^2}$ work if both planets attract each other?

According to this and this, both posts describe the fact that the earth and the moon are attracting each other due to gravitation. The gravitation force is $\frac{GMm}{r^2}$. However, I am not able to ...