The term "planet" had never really been defined before. It was like the famed US Supreme Court justice's statement on pornography - "I know it when I see it." When the object its discoverer playfully nicknamed "Xena" (officially named "Eris", for the Greek goddess of discord) was found, the need to define "planet" arose - it was obviously a Kuiper-belt object, but it was bigger than Pluto!
The first proposal, which would have included Pluto as a planet, would have also required the inclusion of at least four other objects, including the asteroid Ceres. Nobody wanted to rewrite the astronomy texts to cover 12 planets in the Solar system, so the proposal was modified, and Pluto and its diminutive fellows fell into the new category of "dwarf planet".
A star is a mass of plasma undergoing sufficient internal fusion to radiate at least infrared photons (these lower-energy, infrared-only stars are sometimes called "brown dwarfs", and there is some argument as to whether Jupiter is a brown dwarf, so this may be the radio program's source of confusion). Neutron stars, or pulsars, are a special case (in fact, pulsars are a special case of neutron stars) - they no longer experience fusion, but they once did. Now their gravitation has forced the matter inside the star from the state of "degenerate matter" (in which electron orbits intersect, and electrons swap freely between nuclei) to neutronium (the electrons and protons are forced together to make more neutrons). Neutronium is the densest matter which can exist in this universe - anything denser becomes a black hole, which is effectively edited out of the universe (its only remaining effect is gravitational).
Sorry, but astrophysics is one of my areas of perseveration...
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Sodium is a metal that reacts explosively when exposed to water. Chlorine is a gas that'll kill you dead in moments. Together they make my fries taste good.