Why is an sattelite's motion not circular?

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Discussion Overview

The discussion revolves around the nature of satellite motion, specifically why orbits are not perfectly circular despite the presence of gravitational forces that influence their paths. Participants explore various types of orbits, including elliptical and hyperbolic, and consider the implications of forces acting on satellites.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants suggest that while a force can confine an orbit to circular, most orbits are ballistic and not perfectly circular.
  • One participant notes that most bound orbits are elliptical, with circular orbits being a special case, and highlights the role of gravitational forces obeying an inverse square law.
  • Another point raised is that friction can cause a satellite's orbit to decay, potentially transforming unbound orbits into bound ones and making elliptical orbits more circular over time.
  • A participant argues that circular orbits are mathematically a zero probability event in a Newtonian two-body problem due to perturbing forces and the non-Newtonian nature of gravity.
  • It is mentioned that geostationary orbits are not perfectly circular due to the Earth's non-spherical gravity and third-body effects, leading to a figure-eight path of the subsatellite point.
  • Some participants assert that while most orbits are nearly circular, achieving a perfect circle requires a precise balance of forces, and specific orbits, like the Molniya orbit, are designed to be non-circular for strategic purposes.

Areas of Agreement / Disagreement

Participants express differing views on the nature of satellite orbits, with some agreeing that most orbits are elliptical while others emphasize the challenges in achieving circular motion. The discussion remains unresolved regarding the implications of forces on orbital shapes.

Contextual Notes

Participants mention various factors affecting orbits, such as gravitational perturbations, friction, and the specific design of satellite trajectories, which may influence the overall understanding of satellite motion.

grizzlyjoker
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Why is an sattelite's motion not circular? I mean if there is a force that adjust the orbit every instant shouldn't the orbit be circular?
 
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If a force is exerted, then an orbit can be confined to circular.
Most orbits, however, are ballistic.
 
I don't think I understand the question. Not circular meaning what? Are you thinking of a specific example you encountered? In any case, most bound orbits are elliptical (of which a circular orbit is a special case). Unbound orbits are typically hyperbolic. This is a consequence of the strength of the gravitational force obeying an inverse square law with radial distance.

Friction can reduce the total mechanical energy of a satellite to decrease, causing its orbit to decay. This can cause an unbound orbit to become bound, and causes bound elliptical orbits to become more circular with time.

A geostationary orbit is certainly circular...and is used for telecommunications satellites.
 
That orbits (in the Newtonian two body problem) are conic sections comes straight out of the mathematics. The only thing special about circular orbits is that they never occur in reality. There are always perturbing forces, and gravity is not Newtonian. Even in a purely Newtonian, two point mass universe, circular (and parabolic) orbits are a zero probability event in the sense that the set of all circular and parabolic orbits are a zero measure subspaces of the space of all orbits.Edited to add:
Geostationary orbits are neither circular nor geostationary. Very close, but not quite. The subsatellite point follows a figure eight. The non-spherical nature of the Earth's gravity and third body effects (moon and sun) make it impossible to have a perfectly circular orbit.
 
grizzlyjoker said:
Why is an sattelite's motion not circular? I mean if there is a force that adjust the orbit every instant shouldn't the orbit be circular?
Uniform circular motion occurs when the centripetal force is always directed perpendicular to the velocity. Objects in space are not always constrained to move perpendicular to the gravity force.
 
Most orbits are almost circular, they are elliptical because to be a perfect circle would require a perfect balance of forces eg. the Earth's orbit around the sun is only around 1% off a perfect circle.

However some satellites are deliberately put into high non-circular orbits, for instance a Molniya puts a satelite high and sow over russia for most of it's orbit then low and fast over the south pacific - this maximises the time the satelite is available over the country of choice.
 

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