Revision as of 01:34, 8 August 2024

Julian Years & Gregorian Years

The Bully Mnemonic reminds us that there are approximately 31556928 seconds in a tropical year:

$1 T r o p i c a l Y e a r \approx (10330 - 0.40) \times 3055 s e c = 31556928 s e c$

There are 86400 seconds in a day:

$1 D a y = 24 h o u r s \times \frac{60 m i n}{1 h o u r} \times \frac{60 s e c}{1 m i n} = 86400 s e c$

The number of seconds in 365 days is:

$365 D a y = 365 \times 86400 s e c o n d s = 31536000 s e c o n d s$

which is 24.222% of a day less than a full tropical year:

$\frac{31536000 - 31556928}{86400} = 365 \times 86400 s e c o n d s = 31536000 s e c o n d s$

The number of seconds in 366 days is:

$366 D a y = 366 \times 86400 s e c o n d s = 31622400 s e c o n d s$

@@ Line 8: / Line 8: @@
 There are 86400 seconds in a day:
-<math display="block">{1 \, Day} = {24 \, hours \times \frac{60 \, minutes}{1 \, hour} \times \frac{60 \, seconds}{1 \, minute}} = 86400 \, seconds </math>
+<math display="block">{1 \, Day} = {24 \, hours \times \frac{60 \, min}{1 \, hour} \times \frac{60 \, sec}{1 \, min}} = 86400 \, sec </math>
 The number of seconds in 365 days is: