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.
$(a)$ No
$(b)$ No
$(c)$ Yes
$(d)$ No
$(e)$ No
$(f)$ Yes
Angular momentum and total energy at all points of the orbit of a comet moving in a highly elliptical orbit around the Sun are constant. Its linear speed, angular speed, kinetic, and potential energy varies from point to point in the orbit.
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State and prove Kepler’s second law (Law of Areas) of planetary motion.
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