What is rate of emission of heat from a body at space ?
It all depends on whether the body has a source of internal heat, and how far it is from a source of external heat such as a star. The Sun itself obviously emits a huge amount of energy - about $4 \times 10^{26}$ watts - most of it as visible light or infrared radiation. The earth emits about $1.2 \times 10^{17}$ watts, which is almost the same as the energy it receives from the Sun (there will be a small difference due to natural sources of heat such as volcanoes, human-produced heat and global warming). The Voyager 1 spacecraft emits about 330 watts of heat due its RTG nuclear power source. A comet way out in the Oort cloud will emit almost no heat at all.