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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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Calculation of magnitude and direction of impulse [on hold]

A satelite of mass 50kg is to be put into orbit 500km above the earth surface assummed to be of uniform radius.if after its launch the velocity is 2000m/s ,calculate the magnitude and direction of ...
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Implication of Earnshaw theorem to the orbit of the moon

Can we apply Earnshaw theorem in circular/elliptical/hyperbolic orbits? I was wondering how did the moon stop at its current stationary orbit. It seems to me the fragments that gave origin to the moon ...
14 views

Acceleration of a satellite orbiting Mars

I am studying how a satellite would move in orbit around Mars. I have calculated the velocity of its movement. However, if the gravity of Mars is the only force affecting the movement of the satellite,...
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Problem with relative magnetic reference frames [closed]

I came across this problem a while ago and I'd like to solve it, but I'm not even sure where to start. I know I need to use the magnetic reference frame to its angular rate of change, then use it to ...
15 views

Problem with relative reference frames [closed]

I came across this problem a while ago and I'd like to solve it, but I'm not even sure where to start. How would I start this problem and what formulas do I need? I'm not asking for a solution, but ...
96 views

Physical reason for $T^2=a^3$ when $T$ is in years and $a$ is in AU

Kepler's third law states $$T^2\propto a^3$$ When $T$ is in years and $a$ is in AU, the proportionality constant becomes $1$. This can't be a coincidence; I would like to know the physical reason for ...
52 views

Satellites orbiting around any planet's [closed]

Suppose a satellite is revolving around a planet with radius r. Now if we increase the value of r then the angular velocity and kinetic energy will decrease, but the total energy & potential ...
12 views

Even and odd polar coordinates in general orbits

I'm learning about orbits in classical mechanics at the moment. I'm not understanding something about the evenness of the distance component and oddness of the angle component. I see that the radial ...
34 views

Free return trajectory versus burning rocket

It is said that Apollo was set to the free return trajectory while leaving earths gravity, heading to moon.Now the Free return trajectory is the one in which satellite uses moon gravity to return back ...
74 views

Escape velocity and orbital velocity confusion

If orbital velocity is reduced when we want to put a satellite in a higher orbit, and if to achieve a lower orbit we need to increase it's velocity, then how come by increasing the speed of the ...
27 views

Inextensible filament structure in gravitational field

Let $\gamma$ be a curve lying in a gravitational field with each point moving as an independent point mass. Formally, \begin{equation} \partial^2_t \gamma(u, t) = -\nabla U(\gamma(u, t)), \end{...
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Achieve geosynchronous orbital speeds at leo while moving relative to a electric field

Would it be possible for an object to move at geosynchronous orbital speeds at LEO? Assume that a superconductive ring extending around the entire Earth existed at the same height as the ISS. Could an ...
58 views

Can dark matter explain the unusual orbit of transnettunian objects? [closed]

While we are struggling to find an hypothetical planet 9 to explain the unusual orbit of transnettunian objects, I was wondering if it could be just dark matter. We know that the universe is mostly ...
59 views

Creating a Gravitational 2-body simulation

I am trying to create a simulation for a gravitational 2 body problem. But I am kind of having trouble to define the equations that can be solve numerically. From an inertial frame I defined the ...
57 views

Relation of specific angular momentum $h$ with velocity and impact parameter for massive particle?

I am computing the path of an incoming massive (!!) particle with speed $v$ far from the black hole in the schwarzchild metric. To determine its path, i need to input the specific angular momentum ...
47 views

Could a planet have terminal velocity greater than its escape velocity?

I've had 2 semesters of college-level physics (1 of Mechanics and 1 of E&M) and was wondering after exploring a bit about terminal velocity: Is it physically possible for a planet to have a ...
122 views

Can we deorbit space trash into the sun by splitting it in two?

So there's an issue of deorbiting stuff because if you just deorbit it a little, it'll enter a more elliptical orbit but still hit you in the back when you return to this place a year later. Size and ...
41 views

How to simulate an explosion in space [closed]

I have a simulation of some bodies orbiting each other in space, and I would like to add explosions to it to see how the behave, but I don't know how to do it. Sorry if this is has been asked before, ...
52 views

Why does earth not follow the same rule around sun as moon follows around earth?

As you all know that only one side of the moon faces earth through the whole of its journey. The reason why it happens can be owed to the fact that the center of gravity of the moon (because of ...
86 views

About Mercury perihelion again

Sorry to bother you, but I did not get anywhere answer what exactly moves Mercury periapsis. "Sun gravity" or "GR" or "warp of spacetime" are very broad answers, I want to know how they affect this ...
58 views

Is the Moon's rotation affected by Earth's?

There is a lot written on the moon affecting the Earth's rotation but not so much the other way around. I know that moon has its own rotation: Tidal locking is the phenomenon by which a body has ...
9 views

What is topocentric horizon coordinate system?

I was going through the book Orbital Mechanics by Howard Curtis and in the book he talks about topocentric horizon frame and its angular velocity about an inertial frame? What does it mean and how do ...
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How does spatial curvature apply to the planets' orbits?

We all know that in the presence of large, massive objects, spacetime is positively curved, more so the more massive it is. This means that the path of an object without any forces on it is a straight ...