Comet 2P/Encke is the comet with the shortest known period of only 3.3 years (thus also the smallest orbit).
As of 2023, 65 apparitions of comet Encke have been observerd, more than for any other comet. For the future, the next apparitions/perihelion transits are expected for 2027, 2030, and 2033.
Links:
Year No Comet Designations
1786 1 2P/1786 B1 1786 I 1789 - 1792 - 1795 2 2P/1795 V1 1795 1799 - 1802 - 1805 3 2P/1805 U1 1805 1809 - 1812 - 1815 - 1819 4 2P/1818 W1 1819 I 1822 5 2P/1822 L1 1822 II 1825 6 2P/ 1829 7 2P/ 1832 8 2P/ 1835 9 2P/ 1839 10 2P/ 1842 11 2P/ 1845 12 2P/ 1849 13 2P/ 1852 14 2P/ 1855 15 2P/ 1859 16 2P/ 1862 17 2P/ 1865 18 2P/ 1868 19 2P/ 1871 20 2P/ 1871 V 1871c 1875 21 2P/ 1875 II 1875a 1878 22 2P/ 1878 II 1878c 1881 23 2P/ 1881 VII 1881d 1885 24 2P/ 1885 I 1884d 1888 25 2P/ 1888 II 1888b 1892 26 2P/ 1891 III 1891c 1895 27 2P/ 1895 I 1894d 1898 28 2P/ 1898 III 1898d 1901 29 2P/ 1901 II 1901b 1905 30 2P/ 1905 I 1904b 1908 31 2P/ 1908 I 1908b 1911 32 2P/ 1911 III 1911d 1914 33 2P/ 1914 VI 1914d 1918 34 2P/ 1918 I 1917c 1921 35 2P/ 1921 IV 1921d 1924 36 2P/ 1924 III 1924b 1928 37 2P/ 1928 II 1927h 1931 38 2P/ 1931 II 1931a 1934 39 2P/ 1934 III 1934a 1937 40 2P/ 1937 VI 1937h 1941 41 2P/ 1941 V 1941b 1944 - 1947 42 2P/ 1947 XI 1947i 1951 43 2P/ 1951 III 1950e 1954 44 2P/ 1954 IX 1953f 1957 45 2P/ 1957 VIII 1957c 1961 46 2P/ 1961 I 1960i 1964 47 2P/ 1964 IV 1963h 1967 48 2P/ 1967 XIII 1967h 1971 49 2P/ 1971 II 1970l 1974 50 2P/ 1974 V 1977 51 2P/ 1977 XI 1980 52 2P/ 1980 XI 1984 53 2P/ 1984 VI 1987 54 2P/ 1987 XIII 1990 55 2P/ 1990 XXI 1994 56 2P/ 1994 V 1997 57 2P/ 2000 58 2P/ 2004 59 2P/ 2007 60 2P/ 2010 61 2P/ 2013 62 2P/ 2017 63 2P/ 2020 64 2P/ 2023 65 2P/ 2027 66 2P/ 2030 67 2P/ 2033 68 2P/
Johann Franz Encke (Sep 23, 1791 - Aug 26, 1865) came from Hamburg, Germany, and studied mathematics and astronomy under Gauss at Goettingen. From 1816 to 1825, he worked at Seeberg observatory, and in 1825, succeeded Johann Elert Bode as the director of the Berlin observatory and astronomer of the Berlin Academy of Sciences. After suffering a stroke in 1859, Encke retired to Spandau where he died in 1865.
Encke found the periodicity of "his" comet during his time at Seeberg; also at that time, he calculated the Sun's distance from observations of the Venus transits of 1761 and 1769. In 1837, he discovered a gap in Saturn's A ring, whch is since called Encke Division.