Rajiv Gandhi was India's 6th prime minister from 1984 to 1989. He was from Famous Gandhi Dynasty and younger son of ex-prime minister Indira Gandhi. He was also known as the youngest prime minister of India. His entry into politics was by accident.
Despite his mother was Prime minister and his brother was a member of Indian parliament he remained aloof from politics, he entered politics after his brother's accidental demise.
Now let's look at his horoscope, time of birth is taken from Internet and seems accurate.
His Lagna lord Mercury is in the 12th house and most of the planets like Sun, Jupiter, moon and Venus are in 12th house. 12th house being a bad house and is also called the house of liberation from the cycle of birth it created alpa ayu yoga.
That is the reason Rajiv Gandhi died in an early age of 49. His death was a kind of violent death. 8th lord mars being the 3rd and 8th lord placed in 1st house was the cause of death by bomb blast.
Rahu is an AL, Atma Karaka Lagna and while AL lord is in 12th house from Ascendant is another clue for less longevity.
Most of the planets are connected to 8 and 12 house through their star lord and sub lord due to which he had less longevity.
There are various good yoga's in his horoscope too which made him the Prime minister of India.