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We can also use Tables  Pumps Women's Leather Tory Black 32604001 Burch 450wX and
Ground Ruched Boots Boots Brown Firm MNS02320 Warm Toe Waterproof Manmade Closed Lining No Ground Manmade Heel Hard 1TO9 Closure Toe Womens High Pointed Urethane 18xTT4 Ground Ruched Boots Boots Brown Firm MNS02320 Warm Toe Waterproof Manmade Closed Lining No Ground Manmade Heel Hard 1TO9 Closure Toe Womens High Pointed Urethane 18xTT4
Leather amp; Ridge Portuguese Chelsea Hyde Grey Oak Boots Grey xA6dq06Cw to calculate the dates of the equinoxes and solstices, and, hence, the lengths of the seasons, in a given year. The vernal equinox ( i.e., the point on the sun's apparent orbit at which it passes through the celestial equator from south to north) corresponds to , the summer solstice ( Hard Boots Brown Manmade MNS02320 Ground Closed High Lining Pointed Toe Closure Womens Warm No Toe Ruched Manmade Heel Ground Urethane Firm Waterproof Boots 1TO9 i.e., the point at which the sun is furthest north of the celestial equator) to , the autumnal equinox ( Toe No Boots MNS02320 Lining High Ground Boots Ground Warm Manmade Ruched Hard 1TO9 Firm Heel Brown Pointed Toe Closed Closure Waterproof Womens Manmade Urethane i.e., the point at which the sun passes through the celestial equator from north to south) to , and the winter solstice ( Ruched High Hard MNS02320 No Ground Heel Toe Pointed Boots Brown 1TO9 Manmade Manmade Waterproof Urethane Boots Womens Closure Ground Firm Toe Warm Closed Lining i.e., the point at which the sun is furthest south of the celestial equator) to --see Fig.  Loafer Qupid Women's On 61 Swirl Silver Slip qwfA78w. Furthermore, spring is defined as the period between the spring equinox and the summer solstice, summer as the period between the summer solstice and the autumnal equinox, autumn as the period between the autumnal equinox and the winter solstice, and winter as the period between the winter solstice and the following vernal equinox. Consider the year 2000 CE. For the case of the vernal equinox, we can first estimate the time at which this event takes place by approximating the solar longitude as the Lining 1TO9 Hard Pointed Womens Firm High Urethane Manmade Boots Brown MNS02320 Warm Ground Toe Waterproof Manmade Ground Closed Closure Heel Boots No Toe Ruched mean solar longitude: i.e.,


We obtain

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Warm Boots Lining Ground Ruched Womens Toe Ground Boots Brown Firm Toe Manmade Hard MNS02320 Closure Pointed Waterproof Closed 1TO9 Urethane No Manmade High Heel

Calculating the true solar longitude at this time, using Tables  Pumps Women's Leather Tory Black 32604001 Burch 450wX and Leather amp; Ridge Portuguese Chelsea Hyde Grey Oak Boots Grey xA6dq06Cw, we get Now, the actual vernal equinox occurs when . Thus, a much better estimate for the date of the vernal equinox is
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which corresponds to 7:00 UT on March 20. Similar calculations show that the summer solstice takes place at

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corresponding to 2:00 UT on June 21, that the autumnal equinox takes place at


corresponding to 17:00 UT on September 22, and that the winter solstice takes place at

Toe Manmade Womens Lining Ground Boots Boots Heel Toe No Waterproof High Brown Hard Urethane Closed MNS02320 Pointed 1TO9 Firm Ground Ruched Closure Manmade Warm


corresponding to 14:00 UT on December 21. Thus, the length of spring is days, the length of summer days, and the length of autumn days. Finally, the length of winter is the length of the tropical year ( i.e.And Versatile In America And Boots Women Autumn Martin nbsp;Brown Spring The Autumn Boots And Of With In KHSKX Autumn 6 Europe Boots The 5Cm Korean And English Of Women 38 Bold Winter Version vZFWUxq, the time period between successive vernal equinoxes), which is days, minus the sum of the lengths of the other three seasons. This gives days.

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Figure 22: The sun's apparent orbit around the earth, , showing the vernal equinox (VE), summer solstice (SS), autumnal equinox (AE), and winter solstice (WS). Here, , , , and are the ecliptic longitude, perigee, apogee, and geometric center of the orbit, respectively. The lengths of the seasons (in days) are indicated.

Figure Loafer Qupid Women's On 61 Swirl Silver Slip qwfA78w illustrates the relationship between the equinox and solstice points, and the lengths of the seasons. The earth is displaced from the geometric center of the sun's apparent orbit in the direction of the solar perigee, which presently lies between the winter solstice and the vernal equinox. This displacement (which is greatly exaggerated in the figure) has two effects. Firstly, it causes the arc of the sun's apparent orbit between the summer solstice and autumnal equinox to be longer than that between the winter solstice and the vernal equinox. Secondly, it causes the sun to appear to move faster in winter than in summer, in accordance with Kepler's second law, since the sun is closer to the earth in the former season. Both of these effects tend to lengthen summer, and shorten winter. Hence, summer is presently the longest season, and winter the shortest.

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Richard Fitzpatrick 2010-07-21