A comet orbits the sun in a highly elliptical orbit. Does the comet have a constant:
(a) linear speed
(b) angular speed
(c) angular momentum
(d) kinetic energy
(e) potential energy
(f) total energy throughout its orbit?
Neglect any mass loss of the comet when it comes very close to the sun.
The torque exerted by the sun on the comet is zero.
Therefore, angular momentum of comet remains constant.
i.e., mvr = constant vr = constant [because m is constant].
In an elliptical orbit distance of the comet from the sun changes, therefore, the speed of the comet also changes.
(a) Linear speed of the comet is not constant.
(b) Angular speed ω of the comet is not constant.
(c) Angular momentum of the comet is constant.
(d) Kinetic energy of comet 1/2 mv2 changes because the speed of the comet changes.
(e) Potential energy of the comet is
(f) Total energy of the comet remains constant.