Tuesday, October 2, 2012

Length of the Seasons, 2011-2012

Fun fact: because Earth's perihelion currently occurs in early January, it is moving faster in its orbit during northern hemisphere fall and winter.  So the northern hemisphere currently gets a week more spring+summer than fall+winter.

---

Behold the math:

In 2011-2012, length of the northern hemisphere seasons in minutes:

winter:
Dec 22 05 30 to Dec 31 24 00 plus
Jan 01 00 00 to Mar 20 05 14: = (9*24+18.5)*60 + ((31+29+19)*24+(5+14/60.))*60
128144.

spring:
Mar 20 05 14 to Jun 20 23 09: = ((11+30+31+19)*24+(18+46/60.+23+9/60.))*60
133555.

summer:
Jun 20 23 09 to Sep 22 14 49: = ((10+31+31+21)*24+(0+51/60.+14+49/60.))*60
134860.

fall:
Sep 22 14 49 to Dec 21 11 12: = ((8+31+30+20)*24+(9+11/60.+11+12/60.))*60
129383.

ecl> =128144+129383-134860-133555
-10888
ecl> =10888/(24*60.)
7.5611111111111

sanity check:
=(128144+129383+134860+133555)/(24*60.)
365.2375

No comments:

Post a Comment