This large park on the banks of the river in the center of the city, across from the busy railway station and bus stand, was built by Maharaja Sayajirao III in 1879 and named after him, but also commonly known as Kamati Baug. Take at least half a day to fully explore the 45 hectares of garden grounds, with 2 museums, a zoo, a planetarium, a flower clock, and an operational toy train, among other attractions, and then come back to the park whenever you need a respite from activities in the rest of the city.
The planetarium shows you the universe in half an hour, at 4pm in Gujarati, 5pm in English, and 6pm in Hindi. Entry for Adults, Rs. 7, Children Rs. 5. After the show take a look at the astronomy park next door to see the astronomical instruments of ancient India.