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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161 views

Derivation of Equation of Trajectory around a Kerr Black Hole

I was trying to derive equation of motion for test particle around a Kerr black hole. My work is as follows: The Kerr metric is as follows $$ \mathrm ds^2 = -\left(1-\dfrac{2Mr}{\rho^2}\right)\...
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What happens if the gravitational force on a satellite is greater than the centripetal force needed to keep it in circular motion?

Will the satellite continue to orbit the Earth, albeit not in a circle? Why? I would greatly appreciate it if someone could help me address this query. :) Also, I think someone asked a similar ...
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Total mechanical energy of two neutron stars orbiting a common center ($E=U+K$) [closed]

Suppose we have two neutron stars of mass $M$, orbiting a common centre at a distance $R$. (i.e. the two neutron stars are $2R$ apart from each other, and $R$ apart from the centre). I've attempted to ...
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Can the Schrodinger equation describe planetary motion? [duplicate]

I was asked on an exam whether the Schrodinger equation can be used to describe planetary motion and my answer was "No, because the solutions are wavefunctions which give probabilities but everything ...
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1answer
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Doubt in the equation of trajectory of partical moving under central Force

In the book by Goldstein (Third Edition, Page 95) on classical mechanics, Goldstein derives equation of the trajectory of particle moving under center force. The equation he derives is given by: $$r= ...
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Does the Sun revolve around the supermassive black hole at the center of the Milky Way? [duplicate]

I'm curious to know, does the sun really revolve around the black hole at the center of the galaxy?
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66 views

Effect of Change in Mass on Planetary Motion [closed]

How would a change in the mass of a planet in the solar system affect its orbit? For example, if hypothetically the mass of Mars were doubled, would it [a] move closer to the Sun, [b] move further ...
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Closed gravitational orbits and gradient systems

I am currently studying non-linear dynamics on my own time. One of the theorems in the material is that systems that can be written as gradient problems cannot have closed orbits i.e. systems like $$\...
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If there is friction and everything stops on earth why does earth not stop due to friction?

Why do planets revolve around the Sun if there is a force called frictional force? Why do planets not stop rotating while the objects in motion stop after a while? Why are they continuously moving? ...
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1answer
72 views

Angular velocity by mean velocity and ecentricity of orbit [closed]

Okay, so I'm working on a project that will include a track of a star's position in the sky of an arbitrary planet. I've thus far managed to work out all the factors (save refraction) using ...
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1answer
106 views

What caused the curve in the Apollo transearth trajectory?

In reference to the below image, The thin black curved line is the Apollo 11 trans-lunar trajectory (outbound) The dark blue line is a tangent to the trajectory just after the TLI burn (as best as I ...
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Total Energy of the ISS orbiting the Earth [duplicate]

I had a bit of confusion earlier about a discussion in astrophysics. I was reading that the ISS orbits the earth at $8 kms^{-1}$ but then when I calculated the total energy that the ISS had, I was ...
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1answer
99 views

Calculating theta/anomaly for a hyperbolic orbit based on time step

I'm soing some kepler based orbital mechanics for a game prototype I'm working on, am a bit of a newbie to both orbital mechanics and a little challenged at reading the algebra equations that are ...
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1answer
34 views

Forces that affect a car in a circular motion

In a circular motion, with an angular speed ω, mass m and radius r. The resulting force affecting an object(let's say a car) can be calculated with this formula: $$F_{res} = m \cdot \omega^{2} \cdot r$...
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1answer
164 views

Why is angular kinetic energy a part of effective potential energy for orbits?

Total energy for a mass(m) in orbit is as follows: $E=\frac{1}{2}m\dot{r}^2+\frac{L^2}{2mr^2}-\frac{GMm}{r}$, where $\frac{1}{2}m\dot{r}^2$ is said to be the linear kinetic energy, $\frac{L^2}{2mr^2}$ ...
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4answers
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Is the shape of an orbit unique for a given energy?

Consider a body at a given distance from a star. If we project it perpendicular to the radius vector at the correct velocity, the body can undergo circular motion about the star. However, if we ...
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Could an object orbit a person's body? [duplicate]

Imagine you were on a spherical spacecraft that had equal mass all the way around and you were deep in space, away from the gravitational pull of any planetary bodies or stars. If you released a ...
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1answer
60 views

Why is the gravitational pull equal on all sides of the Earth"?

I understand that the Earth moves through the solar system at an extremely fast rate, but a question occurred to me as I reflected on this piece of knowledge: Does the speed of the Earth traveling at ...
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1answer
58 views

Earth's movement around the Sun

My question is - because of sun's movement around the milky way, Earth never reaches at the same point where it started from. Then how can we say that it circles around the sun in 365 1/4th days.
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If the 3-Body force problem hasn't been solved, how do rocket scientists plan orbits of spacecraft?

What methods would they use to predict what would happen in a situation when a probe is being acted upon by the gravity of two stars, say?
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What is the difference between orbital velocity and critical velocity? Are their values similar or not?

As critical velocity is the minimum velocity required to put a satellite into orbit. And orbital velocity is the velocity required to keep a satellite moving in an orbit.The value of critical velocity ...
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Computerised Solar System Simulation [closed]

In school I am doing a project where using python I simulate the solar system The physics I know so far is newtons laws and Kepler’s laws and I have done a lot of research but there appears to be ...
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Why do people float inside space station in space? [duplicate]

In the spaces station moving around the world, we can see that people are floating inside the station. There are two forces acting on the station. Gravitational force Centrifugal force Now these ...
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Barycentre of two planets and calculating velocity shift

I find my self puzzled by this question, and I cant see anything wrong with my derivation, which leads me to believe that there is something I am missing within how the velocity shift is calculated. I ...
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123 views

Is any kind of energy emitted by a body during its motion

Just out of curiosity does an object moving at an arbitrary speed emit some sort of waves/energies? Consider two cases-Body in earths orbit and body inside earths atmosphere.
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How to change speed based on gravity, and angle of movement?

I am making a simple coding project where a white dot is orbiting another dot. I could not find a mathematical formula to change the speed of the dot based on its movement direction proportional to ...
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44 views

How the Sun orbits

So the Sun is a population I star, right? Then why does it's orbit form a rosette shape, characteristic of pop II stars? source: w.astro.berkeley.edu/~echiang/classmech/gd2_chapter3.pdf page 166. ...
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Could planetary magnetic fields repel each other?

If two planets with magnetospheres approached each other, would they repel or attract?
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Is Gravity Cumulative

This is to tie in with a previous question >The Sun's Orbit - Is it What We Think? Are gravitational waves cumulative? and if so how does this affect our galaxy and other astronomical bodies? Now ...
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97 views

Can we calculate the speed and time period of Earth's revolution around the Sun using general relativity?

From General relativity we know that the sun's mass causes the spacetime to dip, so can we theoretically calculate the exact the time period and speed of earth's revolution around the sun using a ...
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The Sun's Orbit - Is it What We Think?

I was thinking that the sun must orbit something within our spiral arm in the Milky Way, or be affected by other astronomical bodies - surely not just the supermassive black hole centre. I have ...
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1answer
218 views

Space Elevator - Could We Do It?

'Elevator to Space' or 'Death-o-Swing'? During one of my ever increasing day-dreams; I remembered something I heard in respect to a theoretical 'Elevator to Space' and I was wondering what you guys ...
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static spherically symmetric gravitational field

Say a star orbits in a static, spherically symmetric gravitational field. What does this mean mathematically?
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Is there a skip ahead formula for simulating planetary motion using time step increments?

Is there a formula that would allow me to skip to a particular time step in a simulation involving planetary motion without having the simulation pass through every time step before? For instance if ...
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1answer
70 views

What is the scope of the term 'orbits'?

Warning - this is a very soft question. I was wondering what the precise meaning of the word orbit is? Wikipedia refers to it only in the sense of gravitational forces, in which case mathematically ...
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1answer
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Orbital Mechanics - How does space debris damage the ISS?

This question is rather self explanatory so I'll keep I succynct. A while back Tim Peake photographed a small crack in the cupola of the ISS, which was reportably a paint fleck that collided with ...
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1answer
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Population II star orbits

Ok so they are usually found in globular clusters and can consider orbits in a static spherically symmetric gravitational field. The orbits are randomly scattered. Would these be considered to be ...
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1answer
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Feynman's Lost Lecture: what is the significance of $\frac{d\mathfrak{v}}{d\theta}=-\frac{GMm}{\left|\mathfrak{L}\right|}\hat{\mathfrak{r}}?$

My question pertains to a fact used by Richard Feynman in his so-called Lost Lecture. http://books.wwnorton.com/books/Feynmans-Lost-Lecture/. I have only skimmed the book, so I have much more to learn ...
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Latitude of Impact of a satellite

I'm currently studying orbital mechanics, and am tasked with finding the latitude of impact of a suborbital satellite, given its location and velocity in geocentric coordinates at some time. Assume ...
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Will changing the Barycenter change stars orbits?

A barycenter of a galaxy is the "balancing point" of it where every object inside the galaxy orbits. With this information, if somehow (I don't know how, maybe you can give me a way in your answer) ...
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1answer
218 views

Nearly circular orbits (and their angular frequency)

In 'nearly' circular motion, the radius is not constant. If the force is central the and the angular momentum is still conserved, we have a central force: where $r_0$ is equilibrium position. For ...
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5answers
240 views

Is it possible to harvest the energy from the movements of a satellite in orbit?

I was thinking about how energy is harvested on Earth from movements of certain forces like wind and ocean currents. Could similar principles be applied in space? Satellites are virtually in ...
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1answer
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Spirals in newtonian celestial mechanics?

I know Kepler's laws, Newton's laws, and that conic sections are the trajectories of noncolliding two point masses. But I wonder about a point mass A eventually colliding with point mass B. In ...
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Orbital speed change when closer to the sun

So a thought had passed my mind recently and i was wondering if an object like mercury has a greater orbital speed than the earth. Yes, i am aware that distance makes a difference but i talking about ...
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Can an atom orbit the Sun?

Is it possible for a molecule or atom to orbit a star (e.g. the Sun)? Or is there always too much outward force imparted by solar radiation compared to the inward force of gravitational attraction?
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Variability of the orbital inclination of a black hole merger?

How variable should we expect the orbital inclination of a typical black hole merger to be, relative to the galactic plane? The LIGO simulation seems to give the impression that the orbital ...
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What does a geostationary satellite move relative to?

What does a geostationary satellite move relative to? I can't come up with a good answer. You don't move relative to the center, neither do you move relative to any location on the Earth. Does entropy ...
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How to use numerical analysis to calculate the motion of any planet?

I have just started reading the Feynman lectures and in chapter 9, he explains how one might use numerical analysis to calculate the motion of a spring which can be extended to calculate the motion of ...
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1answer
292 views

Proving relation between time periods in an elliptical orbit [closed]

Given is a planet moving around the sun in an elliptical orbit NMLO . I was trying to prove that the time T1 taken to cover distance NOL is greater than the time T2 taken to cover distance LMN. *I ...
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1answer
63 views

The ISS, acceleration and space time

This question/theory/thought has been stuck in my head for months and would welcome comments. Firstly, from my understanding, looking at NASA's website, the ISS cycles the earth 26 times in one 24 ...