Equation of Motion
Under standard assumptions, for a body moving along this kind of trajectory an orbital equation becomes:
where:
- is radial distance of orbiting body from central body,
- is specific angular momentum of the orbiting body,
- is a true anomaly of the orbiting body,
- is the standard gravitational parameter.
Read more about this topic: Parabolic Trajectory
Famous quotes containing the words equation and/or motion:
“Jail sentences have many functions, but one is surely to send a message about what our society abhors and what it values. This week, the equation was twofold: female infidelity twice as bad as male abuse, the life of a woman half as valuable as that of a man. The killing of the woman taken in adultery has a long history and survives today in many cultures. One of those is our own.”
—Anna Quindlen (b. 1952)
“I have seen in this revolution a circular motion of the sovereign power through two usurpers, father and son, to the late King to this his son. For ... it moved from King Charles I to the Long Parliament; from thence to the Rump; from the Rump to Oliver Cromwell; and then back again from Richard Cromwell to the Rump; then to the Long Parliament; and thence to King Charles, where long may it remain.”
—Thomas Hobbes (1579–1688)