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:
“Violence among young people ... is an aspect of their desire to create. They don’t know how to use their energy creatively so they do the opposite and destroy.”
—Anthony Burgess (b. 1917)
“The flattering, if arbitrary, label, First Lady of the Theatre, takes its toll. The demands are great, not only in energy but eventually in dramatic focus. It is difficult, if not impossible, for a star to occupy an inch of space without bursting seams, cramping everyone else’s style and unbalancing a play. No matter how self-effacing a famous player may be, he makes an entrance as a casual neighbor and the audience interest shifts to the house next door.”
—Helen Hayes (1900–1993)
“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)