AP Physics C: Mechanics Flashcards: Motion of Orbiting Satellites
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Compare the conservation of kinetic energy in circular versus elliptical orbits.
A satellite's kinetic energy is constant in a circular orbit but changes continuously throughout an elliptical orbit.
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Compare the conservation of kinetic energy in circular versus elliptical orbits.
A satellite's kinetic energy is constant in a circular orbit but changes continuously throughout an elliptical orbit.
What fundamental interaction governs the motion of a two-object system, such as a planet and a satellite?
The motions of a system consisting of two objects are described by their interaction via mutual gravitational forces.
Which two quantities are conserved in BOTH circular and elliptical orbits?
The system’s total mechanical energy and the satellite’s angular momentum are constant in both types of orbits.
A satellite transitions from a circular orbit to an elliptical one. Which two quantities, previously constant, will now vary?
After transitioning to an elliptical orbit, the system's gravitational potential energy and the satellite's kinetic energy will now change.
In an elliptical orbit, which key quantities remain constant and which ones change?
The system’s total mechanical energy and the satellite’s angular momentum are constant, but the gravitational potential energy and the satellite's kinetic energy both change.
How does the system's gravitational potential energy behave in an elliptical orbit?
The system's gravitational potential energy changes throughout an elliptical orbit as the distance between the satellite and the central object varies.
What is the specific condition of a system's mechanical energy when a satellite reaches escape velocity?
When a satellite reaches escape velocity, the total mechanical energy of the satellite–central-object system is equal to zero.
What is the formula for escape velocity ($v_{esc}$)?
The formula is $v_{esc}=\sqrt{\frac{2GM}{r}}$, where G is the gravitational constant, M is the mass of the central object, and r is the orbital radius.
What is escape velocity?
Escape velocity is the minimum speed a satellite needs for the total mechanical energy of the satellite–central-object system to equal zero, allowing it to escape the central object's gravity.
What quantities are constant for a satellite in a perfectly circular orbit?
In a circular orbit, the system’s total mechanical energy, gravitational potential energy, and the satellite’s angular momentum and kinetic energy are all constant.