Energy
Under standard assumptions, specific orbital energy of parabolic trajectory is zero, so the orbital energy conservation equation for this trajectory takes form:
where:
- is orbital velocity of orbiting body,
- is radial distance of orbiting body from central body,
- is the standard gravitational parameter.
This is entirely equivalent to the characteristic energy (square of the speed at infinity) being 0:
Read more about this topic: Parabolic Trajectory
Famous quotes containing the word energy:
“The tendencies of the times favor the idea of self-government, and leave the individual, for all code, to the rewards and penalties of his own constitution, which work with more energy than we believe, whilst we depend on artificial restraints.”
—Ralph Waldo Emerson (1803–1882)
“The scholar may be sure that he writes the tougher truth for the calluses on his palms. They give firmness to the sentence. Indeed, the mind never makes a great and successful effort, without a corresponding energy of the body.”
—Henry David Thoreau (1817–1862)
“Three elements go to make up an idea. The first is its intrinsic quality as a feeling. The second is the energy with which it affects other ideas, an energy which is infinite in the here-and-nowness of immediate sensation, finite and relative in the recency of the past. The third element is the tendency of an idea to bring along other ideas with it.”
—Charles Sanders Peirce (1839–1914)