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t4chan
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are there two points or one in an elliptical orbit where the speed is equal to the speed of a circular orbit at the same radius? if so what is the expression for this point?
Thank you
Thank you
t4chan said:yes, you are right that about the speed in elliptical orbit. But from the attached diagram, the speed of the two intersection points between elliptical and circular orbit should be the same( i.e at the point of V and the opposite point of it). then if that is true, a expression of these points in terms of velocity should be able to derive.
I hope I have made the question clear
( I shouldn't use the word of perigee and apogee, sorry)
Of course so (although obviously or by ODE uniqueness theorems the direction will differ), because at one apex the eccentric orbit is too fast and at the other it is too slow (IVT). Your diagram is a bit funny though, since your example circle isn't even centred upon the same point that the ellipse is orbiting.t4chan said:are there two points or one in an elliptical orbit where the speed is equal to the speed of a circular orbit at the same radius?
Jonathan Scott said:Nope, still doesn't make sense. Lowest point of orbit is fastest, highest is slowest.
An elliptical orbit is a type of orbit in which the shape of the path followed by an object around another object is an ellipse. A circular orbit is a type of orbit in which the shape of the path followed by an object around another object is a perfect circle.
Circular orbits are more common in our solar system. Most of the planets in our solar system have nearly circular orbits around the sun.
The shape of an orbit is determined by the balance between the object's velocity and the gravitational pull of the object it is orbiting. If the velocity is too low, the object will fall towards the larger object and crash into it. If the velocity is too high, the object will fly off into space. For a circular orbit, the velocity must be just right to maintain a constant distance from the larger object. For an elliptical orbit, the velocity can vary, causing the object to move closer and further away from the larger object.
Yes, an object in an elliptical orbit can change to a circular orbit. This can happen if the object's velocity is increased or decreased to match the speed required for a circular orbit. This change in velocity can be caused by gravitational forces from other objects, such as a planet or moon, or by using propulsion systems on the object itself.
Some real-life examples of objects in elliptical orbits include comets, which have highly elongated elliptical orbits around the sun. Some examples of objects in circular orbits include satellites orbiting the Earth, such as the International Space Station, and the moons orbiting other planets in our solar system.